Shamolin, M. V. Invariants of fifth-order homogeneous systems with dissipation. (English. Russian original) Zbl 07820603 Dokl. Math. 108, No. 3, 506-513 (2023); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 514, 98-106 (2023). MSC: 37J35 37C79 70H06 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Dokl. Math. 108, No. 3, 506--513 (2023; Zbl 07820603); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 514, 98--106 (2023) Full Text: DOI
Shamolin, M. V. Invariant forms of geodesic, potential, and dissipative systems on tangent bundles of finite-dimensional manifolds. (English. Russian original) Zbl 07786638 Dokl. Math. 108, No. 1, 248-255 (2023); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 512, 10-17 (2023). MSC: 37J39 37J35 37C79 53D25 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Dokl. Math. 108, No. 1, 248--255 (2023; Zbl 07786638); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 512, 10--17 (2023) Full Text: DOI
Shamolin, M. V. Invariant volume forms of geodesic, potential, and dissipative systems on a tangent bundle of a four-dimensional manifold. (English. Russian original) Zbl 1522.37039 Dokl. Math. 107, No. 1, 57-63 (2023); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 509, 69-76 (2023). MSC: 37C79 53C22 37J39 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Dokl. Math. 107, No. 1, 57--63 (2023; Zbl 1522.37039); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 509, 69--76 (2023) Full Text: DOI
Shamolin, M. V. Invariant volume forms of variable dissipation systems with three degrees of freedom. (English. Russian original) Zbl 1515.37056 Dokl. Math. 106, No. 3, 479-484 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 507, 86-92 (2022). MSC: 37J39 37J35 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Dokl. Math. 106, No. 3, 479--484 (2022; Zbl 1515.37056); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 507, 86--92 (2022) Full Text: DOI
Kashchenko, S. A. Quasi-normal forms in the problem of vibrations of Pedestrian bridges. (English. Russian original) Zbl 1504.35047 Dokl. Math. 106, No. 2, 343-347 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 506, 49-53 (2022). MSC: 35B32 35B10 35B35 35R09 37L10 PDFBibTeX XMLCite \textit{S. A. Kashchenko}, Dokl. Math. 106, No. 2, 343--347 (2022; Zbl 1504.35047); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 506, 49--53 (2022) Full Text: DOI
Grines, V. Z.; Mints, D. I. On topological classification of regular Denjoy type homeomorphisms. (English. Russian original) Zbl 1523.37050 Dokl. Math. 106, No. 1, 268-271 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 505, 66-70 (2022). Reviewer: Francisco Balibrea (Murcia) MSC: 37E30 37E10 37E45 37C15 37C20 PDFBibTeX XMLCite \textit{V. Z. Grines} and \textit{D. I. Mints}, Dokl. Math. 106, No. 1, 268--271 (2022; Zbl 1523.37050); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 505, 66--70 (2022) Full Text: DOI
Kashchenko, S. A. Dynamics of a chain of logistic equations with delay and antidiffusive coupling. (English. Russian original) Zbl 1491.35043 Dokl. Math. 105, No. 1, 18-22 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 502, 23-27 (2022). MSC: 35B40 35R09 35R10 37L10 PDFBibTeX XMLCite \textit{S. A. Kashchenko}, Dokl. Math. 105, No. 1, 18--22 (2022; Zbl 1491.35043); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 502, 23--27 (2022) Full Text: DOI
Denisova, N. V. On the dynamics of systems with two degrees of freedom. (English. Russian original) Zbl 1510.70043 Dokl. Math. 105, No. 1, 1-5 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 502, 5-10 (2022). MSC: 70H06 37N05 PDFBibTeX XMLCite \textit{N. V. Denisova}, Dokl. Math. 105, No. 1, 1--5 (2022; Zbl 1510.70043); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 502, 5--10 (2022) Full Text: DOI
Shamolin, M. V. Tensor invariants of geodesic, potential, and dissipative systems on tangent bundles of two-dimensional manifolds. (English. Russian original) Zbl 1496.37062 Dokl. Math. 104, No. 3, 394-398 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 501, 89-94 (2021). MSC: 37J39 37J35 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Dokl. Math. 104, No. 3, 394--398 (2021; Zbl 1496.37062); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 501, 89--94 (2021) Full Text: DOI
Shamolin, M. V. New cases of integrability of systems of geodesics and potential and dissipative systems on tangent bundles of finite-dimensional manifolds. (English. Russian original) Zbl 1493.37075 Dokl. Math. 104, No. 2, 285-292 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 500, 78-86 (2021). MSC: 37J39 37J35 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Dokl. Math. 104, No. 2, 285--292 (2021; Zbl 1493.37075); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 500, 78--86 (2021) Full Text: DOI
Glyzin, S. D.; Kolesov, A. Yu. On some modifications of Arnold’s cat map. (English. Russian original) Zbl 1493.37051 Dokl. Math. 104, No. 2, 242-246 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 500, 26-30 (2021). MSC: 37E30 37E35 PDFBibTeX XMLCite \textit{S. D. Glyzin} and \textit{A. Yu. Kolesov}, Dokl. Math. 104, No. 2, 242--246 (2021; Zbl 1493.37051); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 500, 26--30 (2021) Full Text: DOI
Bykovskii, V. A. Periodic ultradiscrete plane transformations. (English. Russian original) Zbl 1493.37050 Dokl. Math. 104, No. 2, 240-241 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 500, 23-25 (2021). MSC: 37E30 PDFBibTeX XMLCite \textit{V. A. Bykovskii}, Dokl. Math. 104, No. 2, 240--241 (2021; Zbl 1493.37050); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 500, 23--25 (2021) Full Text: DOI
Kozlov, V. V. Symplectic geometry of the Koopman operator. (English. Russian original) Zbl 1483.37077 Dokl. Math. 104, No. 1, 175-179 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 499, 20-25 (2021). MSC: 37J39 37J11 37C30 37A25 PDFBibTeX XMLCite \textit{V. V. Kozlov}, Dokl. Math. 104, No. 1, 175--179 (2021; Zbl 1483.37077); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 499, 20--25 (2021) Full Text: DOI
Evtushenko, Yu. G.; Tret’yakov, A. A. A new class of Lyapunov functions for stability analysis of singular dynamical systems. Elements of \(p\)-regularity theory. (English. Russian original) Zbl 1483.37038 Dokl. Math. 104, No. 1, 165-168 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 499, 8-12 (2021). MSC: 37C75 93D05 34D20 34D23 34D30 PDFBibTeX XMLCite \textit{Yu. G. Evtushenko} and \textit{A. A. Tret'yakov}, Dokl. Math. 104, No. 1, 165--168 (2021; Zbl 1483.37038); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 499, 8--12 (2021) Full Text: DOI
Podobryaev, A. V. Coadjoint orbits of three-step free nilpotent Lie groups and time-optimal control problem. (English. Russian original) Zbl 1482.37101 Dokl. Math. 102, No. 1, 293-295 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 493, 38-41 (2020). MSC: 37N35 22E25 22E30 37J39 58B20 93B27 PDFBibTeX XMLCite \textit{A. V. Podobryaev}, Dokl. Math. 102, No. 1, 293--295 (2020; Zbl 1482.37101); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 493, 38--41 (2020) Full Text: DOI
Vedyushkina, V. V.; Kibkalo, V. A.; Fomenko, A. T. Topological modeling of integrable systems by billiards: realization of numerical invariants. (English. Russian original) Zbl 1494.37039 Dokl. Math. 102, No. 1, 269-271 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 493, 9-12 (2020). Reviewer: Manuel de León (Madrid) MSC: 37J35 37C83 37J39 PDFBibTeX XMLCite \textit{V. V. Vedyushkina} et al., Dokl. Math. 102, No. 1, 269--271 (2020; Zbl 1494.37039); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 493, 9--12 (2020) Full Text: DOI
Muratov, M. V.; Biryukov, V. A.; Petrov, I. B. Solution of the fracture detection problem by machine learning methods. (English. Russian original) Zbl 1516.74056 Dokl. Math. 101, No. 2, 169-171 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 491, 107-110 (2020). MSC: 74H75 74L05 74S99 68T05 86A15 PDFBibTeX XMLCite \textit{M. V. Muratov} et al., Dokl. Math. 101, No. 2, 169--171 (2020; Zbl 1516.74056); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 491, 107--110 (2020) Full Text: DOI
Shamolin, M. V. New cases of integrable odd-order systems with dissipation. (English. Russian original) Zbl 1494.37038 Dokl. Math. 101, No. 2, 158-164 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 491, 95-101 (2020). MSC: 37J35 37J39 70H06 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Dokl. Math. 101, No. 2, 158--164 (2020; Zbl 1494.37038); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 491, 95--101 (2020) Full Text: DOI
Evstigneev, N. M.; Magnitskii, N. A. Numerical analysis of laminar-turbulent transition by methods of chaotic dynamics. (English. Russian original) Zbl 1481.76107 Dokl. Math. 101, No. 2, 110-114 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 491, 38-43 (2020). MSC: 76F06 76E05 76E06 76M99 37N10 PDFBibTeX XMLCite \textit{N. M. Evstigneev} and \textit{N. A. Magnitskii}, Dokl. Math. 101, No. 2, 110--114 (2020; Zbl 1481.76107); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 491, 38--43 (2020) Full Text: DOI
Vedyushkina, V. V.; Fomenko, A. T. Topological obstacles to the realizability of integrable Hamiltonian systems by billiards. (English. Russian original) Zbl 1439.37056 Dokl. Math. 100, No. 2, 463-466 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 488, No. 5, 471-475 (2019). MSC: 37J30 37J35 37J39 37C83 PDFBibTeX XMLCite \textit{V. V. Vedyushkina} and \textit{A. T. Fomenko}, Dokl. Math. 100, No. 2, 463--466 (2019; Zbl 1439.37056); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 488, No. 5, 471--475 (2019) Full Text: DOI
Glyzin, S. D.; Kashchenko, S. A. Finite-dimensional mappings describing the dynamics of a logistic equation with delay. (English. Russian original) Zbl 1427.37027 Dokl. Math. 100, No. 1, 380-384 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 487, No. 6, 611-616 (2019). MSC: 37D45 37M05 37N25 39A10 39A33 PDFBibTeX XMLCite \textit{S. D. Glyzin} and \textit{S. A. Kashchenko}, Dokl. Math. 100, No. 1, 380--384 (2019; Zbl 1427.37027); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 487, No. 6, 611--616 (2019) Full Text: DOI
Grines, V. Z.; Kurenkov, E. D. Classification of one-dimensional attractors of diffeomorphisms of surfaces by means of pseudo-Anosov homeomorphisms. (English. Russian original) Zbl 1416.37032 Dokl. Math. 99, No. 2, 137-139 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 485, No. 2, 135-138 (2019). MSC: 37D20 37C70 37C15 PDFBibTeX XMLCite \textit{V. Z. Grines} and \textit{E. D. Kurenkov}, Dokl. Math. 99, No. 2, 137--139 (2019; Zbl 1416.37032); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 485, No. 2, 135--138 (2019) Full Text: DOI
Glutsyuk, A. A. On two-dimensional polynomially integrable billiards on surfaces of constant curvature. (English. Russian original) Zbl 1400.37063 Dokl. Math. 98, No. 1, 382-385 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 481, No. 6, 594-598 (2018). MSC: 37J35 37E30 37D50 PDFBibTeX XMLCite \textit{A. A. Glutsyuk}, Dokl. Math. 98, No. 1, 382--385 (2018; Zbl 1400.37063); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 481, No. 6, 594--598 (2018) Full Text: DOI
Krishchenko, A. P. Behavior of trajectories in localizing sets. (English. Russian original) Zbl 1396.37025 Dokl. Math. 97, No. 3, 243-246 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 480, No. 4, 393-396 (2018). MSC: 37C20 37C10 34C05 37D45 PDFBibTeX XMLCite \textit{A. P. Krishchenko}, Dokl. Math. 97, No. 3, 243--246 (2018; Zbl 1396.37025); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 480, No. 4, 393--396 (2018) Full Text: DOI
Vedyushkina, V. V.; Fomenko, A. T.; Kharcheva, Irina S. Modeling nondegenerate bifurcations of closures of solutions for integrable systems with two degrees of freedom by integrable topological billiards. (English. Russian original) Zbl 1394.37088 Dokl. Math. 97, No. 2, 174-176 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 479, No. 6, 607-610 (2018). MSC: 37J20 37J05 37J35 PDFBibTeX XMLCite \textit{V. V. Vedyushkina} et al., Dokl. Math. 97, No. 2, 174--176 (2018; Zbl 1394.37088); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 479, No. 6, 607--610 (2018) Full Text: DOI
Sheinman, O. K. Certain reductions of Hitchin systems of rank 2 and genera 2 and 3. (English. Russian original) Zbl 1432.14030 Dokl. Math. 97, No. 2, 144-146 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 479, No. 3, 254-256 (2018). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14H70 53D18 14H60 37K10 37K20 14-04 PDFBibTeX XMLCite \textit{O. K. Sheinman}, Dokl. Math. 97, No. 2, 144--146 (2018; Zbl 1432.14030); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 479, No. 3, 254--256 (2018) Full Text: DOI arXiv
Denisova, N. V. Instability degree and singular subspaces of integral isotropic cones of linear systems of differential equations. (English. Russian original) Zbl 1430.34066 Dokl. Math. 97, No. 1, 35-37 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 478, No. 3, 259-261 (2018). MSC: 34D20 34C45 37B25 37C75 70E50 PDFBibTeX XMLCite \textit{N. V. Denisova}, Dokl. Math. 97, No. 1, 35--37 (2018; Zbl 1430.34066); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 478, No. 3, 259--261 (2018) Full Text: DOI
Vedyushkina, V. V. The Liouville foliation of nonconvex topological billiards. (English. Russian original) Zbl 1392.37047 Dokl. Math. 97, No. 1, 1-5 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 478, No. 1, 7-11 (2018). MSC: 37J35 37J05 37D50 PDFBibTeX XMLCite \textit{V. V. Vedyushkina}, Dokl. Math. 97, No. 1, 1--5 (2018; Zbl 1392.37047); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 478, No. 1, 7--11 (2018) Full Text: DOI
Orlov, Yu. N.; Sakbaev, V. Zh.; Smolyanov, O. G. Feynman formulas for nonlinear evolution equations. (English. Russian original) Zbl 1458.46030 Dokl. Math. 96, No. 3, 574-577 (2017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 477, No. 3, 275-279 (2017). MSC: 46G12 28C15 37H99 PDFBibTeX XMLCite \textit{Yu. N. Orlov} et al., Dokl. Math. 96, No. 3, 574--577 (2017; Zbl 1458.46030); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 477, No. 3, 275--279 (2017) Full Text: DOI
Kashchenko, S. A. Families of normalizes equations in the problem of dislocations in a solid body. (English. Russian original) Zbl 1516.35182 Dokl. Math. 96, No. 2, 517-521 (2017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 476, No. 5, 500-505 (2017). MSC: 35C20 37L10 PDFBibTeX XMLCite \textit{S. A. Kashchenko}, Dokl. Math. 96, No. 2, 517--521 (2017; Zbl 1516.35182); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 476, No. 5, 500--505 (2017) Full Text: DOI
Lukoyanov, N. Yu.; Plaksin, A. R. Minimax solutions of Hamilton-Jacobi functional equations for neutral-type systems. (English. Russian original) Zbl 1381.39022 Dokl. Math. 96, No. 2, 445-448 (2017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 476, No. 2, 136-139 (2017). MSC: 39B22 35F21 49M37 49L25 PDFBibTeX XMLCite \textit{N. Yu. Lukoyanov} and \textit{A. R. Plaksin}, Dokl. Math. 96, No. 2, 445--448 (2017; Zbl 1381.39022); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 476, No. 2, 136--139 (2017) Full Text: DOI
Grigorieva, E. V.; Kashchenko, S. A. Quasi-periodic and chaotic relaxation oscillations in a laser model with variable delayed optoelectronic feedback. (English. Russian original) Zbl 1369.93067 Dokl. Math. 95, No. 3, 282-286 (2017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 474, No. 2, 159-163 (2017). MSC: 93A30 93C15 93C10 34C15 37N20 PDFBibTeX XMLCite \textit{E. V. Grigorieva} and \textit{S. A. Kashchenko}, Dokl. Math. 95, No. 3, 282--286 (2017; Zbl 1369.93067); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 474, No. 2, 159--163 (2017) Full Text: DOI
Betelin, V. B.; Eskov, V. M.; Galkin, V. A.; Gavrilenko, T. V. Stochastic volatility in the dynamics of complex homeostatic systems. (English. Russian original) Zbl 1369.37087 Dokl. Math. 95, No. 1, 92-94 (2017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 472, No. 6, 642-644 (2017). Reviewer: Stefanie Sonner (Graz) MSC: 37N25 92C30 92C10 PDFBibTeX XMLCite \textit{V. B. Betelin} et al., Dokl. Math. 95, No. 1, 92--94 (2017; Zbl 1369.37087); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 472, No. 6, 642--644 (2017) Full Text: DOI
Blank, M. L. How to divide the indivisible. (English. Russian original) Zbl 1360.93076 Dokl. Math. 94, No. 3, 688-691 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 471, No. 6, 635-639 (2016). MSC: 93A30 93C95 91B32 91B14 PDFBibTeX XMLCite \textit{M. L. Blank}, Dokl. Math. 94, No. 3, 688--691 (2016; Zbl 1360.93076); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 471, No. 6, 635--639 (2016) Full Text: DOI
Lukashev, E. A.; Yakovlev, N. N.; Radkevich, E. V.; Vasil’yeva, O. A. On problems of the laminar-turbulent transition. (English. Russian original) Zbl 1366.35133 Dokl. Math. 94, No. 3, 649-653 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 471, No. 3, 270-274 (2016). Reviewer: Anthony D. Osborne (Keele) MSC: 35Q35 76F20 PDFBibTeX XMLCite \textit{E. A. Lukashev} et al., Dokl. Math. 94, No. 3, 649--653 (2016; Zbl 1366.35133); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 471, No. 3, 270--274 (2016) Full Text: DOI
Kanatnikov, A. N.; Krishchenko, A. P. Localizing sets and trajectory behavior. (English. Russian original) Zbl 1362.37049 Dokl. Math. 94, No. 2, 506-509 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 470, No. 2, 133-136 (2016). MSC: 37C10 34C05 37C20 PDFBibTeX XMLCite \textit{A. N. Kanatnikov} and \textit{A. P. Krishchenko}, Dokl. Math. 94, No. 2, 506--509 (2016; Zbl 1362.37049); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 470, No. 2, 133--136 (2016) Full Text: DOI
Shilin, I. S. Lyapunov unstable Milnor attractors. (English) Zbl 1367.37015 Dokl. Math. 94, No. 1, 415-417 (2016) and Dokl. Akad. Nauk, Ross. Akad. Nauk 469, No. 3, 287-290 (2016). MSC: 37B25 37C15 PDFBibTeX XMLCite \textit{I. S. Shilin}, Dokl. Math. 94, No. 1, 415--417 (2016; Zbl 1367.37015) Full Text: DOI
Leonov, G. A. Lyapunov dimension formulas for Lorenz-like systems. (English. Russian original) Zbl 1368.37033 Dokl. Math. 93, No. 3, 304-306 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 468, No. 5, 496-498 (2016). MSC: 37C70 37C10 PDFBibTeX XMLCite \textit{G. A. Leonov}, Dokl. Math. 93, No. 3, 304--306 (2016; Zbl 1368.37033); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 468, No. 5, 496--498 (2016) Full Text: DOI
Tsiganov, Andrey V. On a family of Bäcklund transformations. (English. Russian original) Zbl 1351.37228 Dokl. Math. 93, No. 3, 292-294 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 468, No. 4, 380-382 (2016). MSC: 37J35 37J10 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, Dokl. Math. 93, No. 3, 292--294 (2016; Zbl 1351.37228); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 468, No. 4, 380--382 (2016) Full Text: DOI
Zubov, N. E.; Mikrin, E. A.; Misrikhanov, M. Sh.; Ryabchenko, V. N. Output control of the spectrum of a descriptor dynamical system. (English. Russian original) Zbl 1348.93133 Dokl. Math. 93, No. 3, 259-261 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 468, No. 2, 134-136 (2016). MSC: 93B60 93C05 34H05 PDFBibTeX XMLCite \textit{N. E. Zubov} et al., Dokl. Math. 93, No. 3, 259--261 (2016; Zbl 1348.93133); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 468, No. 2, 134--136 (2016) Full Text: DOI
Emel’yanov, S. V.; Kanatnikov, A. N.; Krishchenko, A. P. Localization of invariant compact sets of families of discrete-time systems. (English. Russian original) Zbl 1344.93066 Dokl. Math. 93, No. 2, 241-242 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 467, No. 5, 523-525 (2016). Reviewer: Peter P. Zabreĭko (Minsk) MSC: 93C55 37B25 39A30 37B55 PDFBibTeX XMLCite \textit{S. V. Emel'yanov} et al., Dokl. Math. 93, No. 2, 241--242 (2016; Zbl 1344.93066); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 467, No. 5, 523--525 (2016) Full Text: DOI
Tuzhilin, M. A. Invariants of four- and three-dimensional singularities of integrable systems. (English. Russian original) Zbl 1347.37101 Dokl. Math. 93, No. 2, 186-189 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 467, No. 4, 385-388 (2016). MSC: 37J15 37J35 37C25 PDFBibTeX XMLCite \textit{M. A. Tuzhilin}, Dokl. Math. 93, No. 2, 186--189 (2016; Zbl 1347.37101); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 467, No. 4, 385--388 (2016) Full Text: DOI
Leonov, G. A.; Mokaev, Tim N. Lyapunov dimension formula for the attractor of the Glukhovsky-Dolzhansky system. (English. Russian original) Zbl 1361.37029 Dokl. Math. 93, No. 1, 42-45 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 466, No. 3, 267-271 (2016). MSC: 37C70 34D45 37C45 PDFBibTeX XMLCite \textit{G. A. Leonov} and \textit{T. N. Mokaev}, Dokl. Math. 93, No. 1, 42--45 (2016; Zbl 1361.37029); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 466, No. 3, 267--271 (2016) Full Text: DOI
Finogenko, I. A. Method of limit differential equations for nonautonomous discontinuous systems. (English. Russian original) Zbl 1351.34016 Dokl. Math. 93, No. 1, 9-12 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 466, No. 1, 16-19 (2016). Reviewer: Zdzisław Dzedzej (Gdansk) MSC: 34A36 34D20 34A60 37C60 PDFBibTeX XMLCite \textit{I. A. Finogenko}, Dokl. Math. 93, No. 1, 9--12 (2016; Zbl 1351.34016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 466, No. 1, 16--19 (2016) Full Text: DOI
Kachurovskii, A. G.; Podvigin, I. V. Large deviations and rates of convergence in the Birkhoff ergodic theorem: from Hölder continuity to continuity. (English. Russian original) Zbl 1362.37014 Dokl. Math. 93, No. 1, 6-8 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 466, No. 1, 12-15 (2016). MSC: 37A30 37A50 37A60 60F10 PDFBibTeX XMLCite \textit{A. G. Kachurovskii} and \textit{I. V. Podvigin}, Dokl. Math. 93, No. 1, 6--8 (2016; Zbl 1362.37014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 466, No. 1, 12--15 (2016) Full Text: DOI
Fokicheva, V. V.; Fomenko, A. T. Integrable billiards model important integrable cases of rigid body dynamics. (English. Russian original) Zbl 1335.37040 Dokl. Math. 92, No. 3, 682-684 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 465, No. 2, 150-153 (2015). MSC: 37J35 37N05 37D45 70E40 PDFBibTeX XMLCite \textit{V. V. Fokicheva} and \textit{A. T. Fomenko}, Dokl. Math. 92, No. 3, 682--684 (2015; Zbl 1335.37040); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 465, No. 2, 150--153 (2015) Full Text: DOI
Krishchenko, A. P.; Chetverikov, V. N. The covering method for the solution of terminal control problems. (English. Russian original) Zbl 1328.93127 Dokl. Math. 92, No. 2, 646-650 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 464, No. 5, 539-543 (2015). MSC: 93C15 93C10 PDFBibTeX XMLCite \textit{A. P. Krishchenko} and \textit{V. N. Chetverikov}, Dokl. Math. 92, No. 2, 646--650 (2015; Zbl 1328.93127); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 464, No. 5, 539--543 (2015) Full Text: DOI
Lykov, A. A.; Malyshev, V. A. A new approach to Boltzmann’s ergodic hypothesis. (English. Russian original) Zbl 1360.37152 Dokl. Math. 92, No. 2, 624-626 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 464, No. 5, 532-534 (2015). MSC: 37J40 35Q20 76P05 37A60 82C05 82C40 82C70 PDFBibTeX XMLCite \textit{A. A. Lykov} and \textit{V. A. Malyshev}, Dokl. Math. 92, No. 2, 624--626 (2015; Zbl 1360.37152); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 464, No. 5, 532--534 (2015) Full Text: DOI
Leonov, G. A. Cascade of bifurcations in Lorenz-like systems: birth of a strange attractor, blue sky catastrophe bifurcation, and nine homoclinic bifurcations. (English. Russian original) Zbl 1360.37133 Dokl. Math. 92, No. 2, 563-567 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 464, No. 4, 391-395 (2015). MSC: 37G35 70K50 37G15 PDFBibTeX XMLCite \textit{G. A. Leonov}, Dokl. Math. 92, No. 2, 563--567 (2015; Zbl 1360.37133); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 464, No. 4, 391--395 (2015) Full Text: DOI
Zheglov, A. B.; Mironov, A. E. On commuting differential operators with polynomial coefficients corresponding to spectral curves of genus one. (English. Russian original) Zbl 1330.13043 Dokl. Math. 91, No. 3, 281-282 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 462, No. 2, 135-136 (2015). Reviewer: Ahmed Lesfari (El Jadida) MSC: 13N10 14H70 37K10 37K20 PDFBibTeX XMLCite \textit{A. B. Zheglov} and \textit{A. E. Mironov}, Dokl. Math. 91, No. 3, 281--282 (2015; Zbl 1330.13043); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 462, No. 2, 135--136 (2015) Full Text: DOI
Gurevich, B. M. A lower estimate of the entropy of an automorphism and maximum entropy conditions for and invariant measure of a suspension flow over a Markov shift. (English. Russian original) Zbl 1360.37014 Dokl. Math. 91, No. 2, 186-188 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 461, No. 4, 387-389 (2015). MSC: 37A35 37A30 37A50 PDFBibTeX XMLCite \textit{B. M. Gurevich}, Dokl. Math. 91, No. 2, 186--188 (2015; Zbl 1360.37014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 461, No. 4, 387--389 (2015) Full Text: DOI
Vedenyapin, V. V.; Fimin, N. N. The Hamilton-Jacobi method in the non-Hamiltonian situation and the hydrodynamic substitution. (English. Russian original) Zbl 1326.34066 Dokl. Math. 91, No. 2, 154-157 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 461, No. 2, 136-139 (2015). Reviewer: Ronald L. Huston (Cincinnati) MSC: 34C20 34A34 34B20 37J05 82C05 PDFBibTeX XMLCite \textit{V. V. Vedenyapin} and \textit{N. N. Fimin}, Dokl. Math. 91, No. 2, 154--157 (2015; Zbl 1326.34066); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 461, No. 2, 136--139 (2015) Full Text: DOI
Blank, M. L. Dynamics of alternating functions. (English. Russian original) Zbl 1369.37016 Dokl. Math. 91, No. 2, 150-153 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 461, No. 2, 131-135 (2015). Reviewer: Marcin Kulczycki (Kraków) MSC: 37B10 37B05 PDFBibTeX XMLCite \textit{M. L. Blank}, Dokl. Math. 91, No. 2, 150--153 (2015; Zbl 1369.37016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 461, No. 2, 131--135 (2015) Full Text: DOI
Leonov, G. A.; Alexeeva, T. A. Lyapunov functions in estimates of attractor dimensions for generalized Rössler systems. (English. Russian original) Zbl 1352.37043 Dokl. Math. 91, No. 1, 5-8 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 460, No. 1, 11-14 (2015). MSC: 37B25 37L30 PDFBibTeX XMLCite \textit{G. A. Leonov} and \textit{T. A. Alexeeva}, Dokl. Math. 91, No. 1, 5--8 (2015; Zbl 1352.37043); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 460, No. 1, 11--14 (2015) Full Text: DOI
Pykh, Yu. A. Escort distribution, energy, and relative entropy of macrosystems with nonlinear pair interactions. (English. Russian original) Zbl 1352.37194 Dokl. Math. 90, No. 3, 710-714 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 459, No. 3, 270-275 (2014). MSC: 37N05 82C22 34D20 PDFBibTeX XMLCite \textit{Yu. A. Pykh}, Dokl. Math. 90, No. 3, 710--714 (2014; Zbl 1352.37194); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 459, No. 3, 270--275 (2014) Full Text: DOI
Il’in, A. V.; Budanova, A. V.; Fomichev, V. V. Observers for time delay systems in the presence of external disturbances. (English. Russian original) Zbl 1418.34048 Dokl. Math. 89, No. 3, 387-391 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 456, No. 1, 27-31 (2014). MSC: 34B07 93C15 34H05 93C05 93B11 PDFBibTeX XMLCite \textit{A. V. Il'in} et al., Dokl. Math. 89, No. 3, 387--391 (2014; Zbl 1418.34048); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 456, No. 1, 27--31 (2014) Full Text: DOI
Kurkina, A. V. Problem of radially symmetric vibrations of a three-dimensional ball and its optimization. (English. Russian original) Zbl 1305.35137 Dokl. Math. 89, No. 3, 331-334 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 456, No. 4, 400-404 (2014). MSC: 35Q74 74H45 93C20 PDFBibTeX XMLCite \textit{A. V. Kurkina}, Dokl. Math. 89, No. 3, 331--334 (2014; Zbl 1305.35137); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 456, No. 4, 400--404 (2014) Full Text: DOI
Zelik, S. V.; Chepyzhov, V. V. Regular attractors of autonomous and nonautonomous dynamical systems. (English) Zbl 1307.37012 Dokl. Math. 89, No. 1, 92-97 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 454, No. 5, 512-517 (2014). Reviewer: Marco Spadini (Firenze) MSC: 37C60 37C70 70K60 PDFBibTeX XMLCite \textit{S. V. Zelik} and \textit{V. V. Chepyzhov}, Dokl. Math. 89, No. 1, 92--97 (2014; Zbl 1307.37012); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 454, No. 5, 512--517 (2014) Full Text: DOI
Gonchenko, S. V.; Lamb, J. S. W.; Rios, I.; Turaev, D. Attractors and repellers near generic elliptic points of reversible maps. (English. Russian original) Zbl 1301.37013 Dokl. Math. 89, No. 1, 65-67 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 454, No. 4, 375-378 (2014). MSC: 37C70 35J40 PDFBibTeX XMLCite \textit{S. V. Gonchenko} et al., Dokl. Math. 89, No. 1, 65--67 (2014; Zbl 1301.37013); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 454, No. 4, 375--378 (2014) Full Text: DOI arXiv
Lykov, A. A.; Malyshev, V. A. Role of the memory in convergence to invariant Gibbs measure. (English. Russian original) Zbl 1285.37009 Dokl. Math. 88, No. 2, 513-515 (2013); translation from Dokl. Akad. Nauk. 452, No. 1, 17-20 (2013). Reviewer: Anatoliy K. Prykarpatsky (Kraków) MSC: 37D35 37C40 PDFBibTeX XMLCite \textit{A. A. Lykov} and \textit{V. A. Malyshev}, Dokl. Math. 88, No. 2, 513--515 (2013; Zbl 1285.37009); translation from Dokl. Akad. Nauk. 452, No. 1, 17--20 (2013) Full Text: DOI
Zelikin, M. I.; Lokutsievskii, L. V.; Hildebrand, R. Stochastic dynamics of Lie algebras of Poisson brackets in neighborhoods of nonsmoothness points of Hamiltonians. (English. Russian original) Zbl 1294.37022 Dokl. Math. 87, No. 3, 259-263 (2013); translation from Dokl. Akad. Nauk. 450, No. 1, 7-12 (2013). Reviewer: Mohamed Selmi (Sousse-Riadh) MSC: 37H99 37J99 17B66 PDFBibTeX XMLCite \textit{M. I. Zelikin} et al., Dokl. Math. 87, No. 3, 259--263 (2013; Zbl 1294.37022); translation from Dokl. Akad. Nauk. 450, No. 1, 7--12 (2013) Full Text: DOI
Yadykin, I. B.; Galyaev, A. A. On computational methods for Gramians of continuous dynamic systems. (English. Russian original) Zbl 1350.93060 Dokl. Math. 87, No. 3, 376-379 (2013); translation from Dokl. Akad. Nauk. 450, No. 4, 397-400 (2013). MSC: 93D05 37N35 93C15 93C05 PDFBibTeX XMLCite \textit{I. B. Yadykin} and \textit{A. A. Galyaev}, Dokl. Math. 87, No. 3, 376--379 (2013; Zbl 1350.93060); translation from Dokl. Akad. Nauk. 450, No. 4, 397--400 (2013) Full Text: DOI
Leonov, G. A. Formulas for the Lyapunov dimension of attractors of the generalized Lorenz system. (English. Russian original) Zbl 1300.37025 Dokl. Math. 87, No. 3, 264-268 (2013); translation from Dokl. Akad. Nauk. 450, No. 1, 13-18 (2013). Reviewer: Sergei Yu. Pilyugin (St. Petersburg) MSC: 37D45 34D45 37C45 37C70 37D25 34D08 PDFBibTeX XMLCite \textit{G. A. Leonov}, Dokl. Math. 87, No. 3, 264--268 (2013; Zbl 1300.37025); translation from Dokl. Akad. Nauk. 450, No. 1, 13--18 (2013) Full Text: DOI
Blank, M. L. Unique ergodicity of a collective random walk. (English. Russian original) Zbl 1318.60097 Dokl. Math. 87, No. 1, 91-94 (2013); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 448, No. 6, 629-632 (2013). MSC: 60K35 37A25 37A50 82C41 PDFBibTeX XMLCite \textit{M. L. Blank}, Dokl. Math. 87, No. 1, 91--94 (2013; Zbl 1318.60097); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 448, No. 6, 629--632 (2013) Full Text: DOI
Budochkina, S. A.; Savchin, V. M. On infinite-dimensional Lagrangian systems with nonpotential forces. (English. Russian original) Zbl 1294.70011 Dokl. Math. 87, No. 1, 110-111 (2013); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 448, No. 5, 518-519 (2013). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 70H03 37N05 37K99 PDFBibTeX XMLCite \textit{S. A. Budochkina} and \textit{V. M. Savchin}, Dokl. Math. 87, No. 1, 110--111 (2013; Zbl 1294.70011); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 448, No. 5, 518--519 (2013) Full Text: DOI
Vasil’eva, E. V. Stable periodic points of infinitely smooth diffeomorphisms. (English. Russian original) Zbl 1277.37042 Dokl. Math. 87, No. 1, 3-4 (2013); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 448, No. 1, 9-10 (2013). Reviewer: Kwok-wai Chung (Hong Kong) MSC: 37C25 37C29 PDFBibTeX XMLCite \textit{E. V. Vasil'eva}, Dokl. Math. 87, No. 1, 3--4 (2013; Zbl 1277.37042); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 448, No. 1, 9--10 (2013) Full Text: DOI
Grines, V. Z.; Levchenko, Yu. A. On a topological classification of diffeomorphisms on 3-manifolds with two-dimensional surface attractors and repellers. (English. Russian summary) Zbl 1283.37039 Dokl. Math. 86, No. 3, 747-749 (2012); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 447, No. 2, 127-129 (2012). Reviewer: José A. Langa (Sevilla) MSC: 37D20 37C70 PDFBibTeX XMLCite \textit{V. Z. Grines} and \textit{Yu. A. Levchenko}, Dokl. Math. 86, No. 3, 747--749 (2012; Zbl 1283.37039); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 447, No. 2, 127--129 (2012) Full Text: DOI
Anashin, V. S.; Khrennikov, A. Yu.; Yurova, E. I. Ergodicity of dynamical systems on 2-adic spheres. (English. Russian summary) Zbl 1261.37002 Dokl. Math. 86, No. 3, 843-845 (2012); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 447, No. 6, 595-598 (2012). Reviewer: Masataka Kanki (Tokyo) MSC: 37A05 37P20 PDFBibTeX XMLCite \textit{V. S. Anashin} et al., Dokl. Math. 86, No. 3, 843--845 (2012; Zbl 1261.37002); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 447, No. 6, 595--598 (2012) Full Text: DOI
Zubova, S. P. Solution of inverse problems for linear dynamical systems by the cascade method. (English. Russian summary) Zbl 1272.34021 Dokl. Math. 86, No. 3, 846-849 (2012); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 447, No. 6, 599-602 (2012). Reviewer: Anthony Uyi Afuwape (Medellin) MSC: 34A55 93C15 34H05 PDFBibTeX XMLCite \textit{S. P. Zubova}, Dokl. Math. 86, No. 3, 846--849 (2012; Zbl 1272.34021); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 447, No. 6, 599--602 (2012) Full Text: DOI
Kanatnikov, A. N.; Krishchenko, A. P. Localization of compact invariant sets of continuous-time systems with disturbance. (English. Russian original) Zbl 1263.37035 Dokl. Math. 86, No. 2, 720-722 (2012); translation from Dokl. Akad. Nauk. 446, No. 1, 30-32 (2012). MSC: 37C10 37D10 34H05 PDFBibTeX XMLCite \textit{A. N. Kanatnikov} and \textit{A. P. Krishchenko}, Dokl. Math. 86, No. 2, 720--722 (2012; Zbl 1263.37035); translation from Dokl. Akad. Nauk. 446, No. 1, 30--32 (2012) Full Text: DOI
Moiseev, E. I.; Kholomeeva, A. A. Optimization of the boundary control of string vibrations at one string end with a given mode at the other end. (English. Russian original) Zbl 1263.93102 Dokl. Math. 86, No. 1, 454-456 (2012); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 445, No. 1, 13-16 (2012). MSC: 93C15 74H45 74K05 49N90 70Q05 PDFBibTeX XMLCite \textit{E. I. Moiseev} and \textit{A. A. Kholomeeva}, Dokl. Math. 86, No. 1, 454--456 (2012; Zbl 1263.93102); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 445, No. 1, 13--16 (2012) Full Text: DOI
Berdyshev, V. I. Tracking problem: differentiation of the visibility function. (English. Russian original) Zbl 1263.49003 Dokl. Math. 85, No. 1, 153-155 (2012); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 442, No. 4, 459-461 (2012). Reviewer: Nikolai Strogies (Berlin) MSC: 49J10 37C20 PDFBibTeX XMLCite \textit{V. I. Berdyshev}, Dokl. Math. 85, No. 1, 153--155 (2012; Zbl 1263.49003); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 442, No. 4, 459--461 (2012) Full Text: DOI
Korovin, S. K.; Il’in, A. V.; Fomichev, V. V.; Fursov, A. S. A topological approach to the problem of existence of a common stabilizer for a family of dynamical systems. (English. Russian original) Zbl 1264.93207 Dokl. Math. 84, No. 3, 911-916 (2011); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 441, No. 6, 737-742 (2011). MSC: 93D15 93C15 37N35 PDFBibTeX XMLCite \textit{S. K. Korovin} et al., Dokl. Math. 84, No. 3, 911--916 (2011; Zbl 1264.93207); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 441, No. 6, 737--742 (2011) Full Text: DOI
Vasil’eva, E. V. Multidimensional diffeomorphisms with stable periodic points. (English. Russian original) Zbl 1244.37014 Dokl. Math. 84, No. 3, 808-810 (2011); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 441, No. 3, 299-301 (2011). MSC: 37C05 37C29 37E30 PDFBibTeX XMLCite \textit{E. V. Vasil'eva}, Dokl. Math. 84, No. 3, 808--810 (2011; Zbl 1244.37014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 441, No. 3, 299--301 (2011) Full Text: DOI
Leonov, G. A.; Reitmann, V.; Slepukhin, A. S. Upper estimates for the Hausdorff dimension of negatively invariant sets of local cocycles. (English. Russian original) Zbl 1231.37016 Dokl. Math. 84, No. 1, 551-554 (2011); translation from Dokl. Akad. Nauk 439, No. 6, 736-739 (2011). MSC: 37C45 37A20 37C10 PDFBibTeX XMLCite \textit{G. A. Leonov} et al., Dokl. Math. 84, No. 1, 551--554 (2011; Zbl 1231.37016); translation from Dokl. Akad. Nauk 439, No. 6, 736--739 (2011) Full Text: DOI
Ryabov, P. E. Explicit integration and topology of D.N. Goryachev case. (English. Russian original) Zbl 1243.37061 Dokl. Math. 84, No. 1, 502-505 (2011); translation from Dokl. Akad. Nauk 439, No. 3, 315-318 (2011). Reviewer: William J. Satzer jun. (St. Paul) MSC: 37N05 70E40 PDFBibTeX XMLCite \textit{P. E. Ryabov}, Dokl. Math. 84, No. 1, 502--505 (2011; Zbl 1243.37061); translation from Dokl. Akad. Nauk 439, No. 3, 315--318 (2011) Full Text: DOI
Vasil’eva, E. V. Smooth diffeomorphisms with countable set of stable periodic points. (English. Russian original) Zbl 1284.37037 Dokl. Math. 84, No. 1, 441-443 (2011); translation from Dokl. Akad. Nauk 439, No. 1, 11-13 (2011). MSC: 37E30 37C05 37C29 PDFBibTeX XMLCite \textit{E. V. Vasil'eva}, Dokl. Math. 84, No. 1, 441--443 (2011; Zbl 1284.37037); translation from Dokl. Akad. Nauk 439, No. 1, 11--13 (2011) Full Text: DOI
Kim, V. E.; Napalkov, V. V. Linear chaotic systems in generalized Fock-Bargmann spaces. (English. Russian original) Zbl 1244.37035 Dokl. Math. 83, No. 3, 384-385 (2011); translation from Dokl. Akad. Nauk 438, No. 5, 603-605 (2011). MSC: 37F99 30H20 47A99 PDFBibTeX XMLCite \textit{V. E. Kim} and \textit{V. V. Napalkov}, Dokl. Math. 83, No. 3, 384--385 (2011; Zbl 1244.37035); translation from Dokl. Akad. Nauk 438, No. 5, 603--605 (2011) Full Text: DOI
Anashin, Vladimir S.; Khrennikov, Andrei Yu.; Yurova, Ekaterina I. Characterization of ergodicity of \(p\)-adic dynamical systems by using the van der Put basis. (English. Russian original) Zbl 1247.37007 Dokl. Math. 83, No. 3, 306-308 (2011); translation from Dokl. Akad. Nauk 438, No. 2, 151-153 (2011). Reviewer: Chryssoula Ganatsiou (Larissa) MSC: 37A25 37P20 PDFBibTeX XMLCite \textit{V. S. Anashin} et al., Dokl. Math. 83, No. 3, 306--308 (2011; Zbl 1247.37007); translation from Dokl. Akad. Nauk 438, No. 2, 151--153 (2011) Full Text: DOI
Kanatnikov, A. N.; Korovin, S. K.; Krishchenko, A. P. Maximal invariant compact sets of dynamical systems. (English. Russian original) Zbl 1246.37035 Dokl. Math. 83, No. 2, 278-281 (2011); translation from Dokl. Akad. Nauk 437, No. 5, 609-612 (2011). Reviewer: Georgy Osipenko (St. Peterburg) MSC: 37B99 37C10 PDFBibTeX XMLCite \textit{A. N. Kanatnikov} et al., Dokl. Math. 83, No. 2, 278--281 (2011; Zbl 1246.37035); translation from Dokl. Akad. Nauk 437, No. 5, 609--612 (2011) Full Text: DOI
Derkach, M. M. Methods for constructing complete involutive sets of polynomials on semidirect sums of Lie algebras. (English. Russian original) Zbl 1293.17011 Dokl. Math. 83, No. 2, 222-224 (2011); translation from Dokl. Akad. Nauk 437, No. 5, 587-589 (2011). MSC: 17B20 37K30 PDFBibTeX XMLCite \textit{M. M. Derkach}, Dokl. Math. 83, No. 2, 222--224 (2011; Zbl 1293.17011); translation from Dokl. Akad. Nauk 437, No. 5, 587--589 (2011) Full Text: DOI
Pochinka, O. V. Classification of Morse-Smale diffeomorphisms on 3-manifolds. (English. Russian original) Zbl 1260.37014 Dokl. Math. 84, No. 2, 722-725 (2011); translation from Dokl. Akad. Nauk 440, No. 6, 747-750 (2011). Reviewer: David E. Hurtubise (Altoona) MSC: 37D15 37D10 PDFBibTeX XMLCite \textit{O. V. Pochinka}, Dokl. Math. 84, No. 2, 722--725 (2011; Zbl 1260.37014); translation from Dokl. Akad. Nauk 440, No. 6, 747--750 (2011) Full Text: DOI
Grines, V. Z.; Laudenbach, F.; Pochinka, O. V. On the existence of an energy function for Morse-Smale diffeomorphisms on 3-manifolds. (English. Russian original) Zbl 1247.37028 Dokl. Math. 84, No. 2, 601-603 (2011); translation from Dokl. Akad. Nauk 440, No. 1, 7-10 (2011). Reviewer: David E. Hurtubise (Altoona) MSC: 37D15 37E99 PDFBibTeX XMLCite \textit{V. Z. Grines} et al., Dokl. Math. 84, No. 2, 601--603 (2011; Zbl 1247.37028); translation from Dokl. Akad. Nauk 440, No. 1, 7--10 (2011) Full Text: DOI
Anan’evskii, I. M.; Anokhin, N. V.; Ovseevich, A. I. Bounded feedback controls for linear dynamic systems by using common Lyapunov functions. (English. Russian original) Zbl 1209.93113 Dokl. Math. 82, No. 2, 831-834 (2010); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 434, No. 3, 319-323 (2010). MSC: 93D15 93C05 93B52 93B50 93C15 PDFBibTeX XMLCite \textit{I. M. Anan'evskii} et al., Dokl. Math. 82, No. 2, 831--834 (2010; Zbl 1209.93113); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 434, No. 3, 319--323 (2010) Full Text: DOI
Kaleda, P. I. The bifurcation of a slow-fast separatrix loop in a family of singular systems. (English. Russian original) Zbl 1213.37078 Dokl. Math. 82, No. 2, 716-718 (2010); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 434, No. 2, 158-160 (2010). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37G10 PDFBibTeX XMLCite \textit{P. I. Kaleda}, Dokl. Math. 82, No. 2, 716--718 (2010; Zbl 1213.37078); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 434, No. 2, 158--160 (2010) Full Text: DOI
Bogachev, V. I.; Korolev, A. V.; Pilipenko, A. Yu. Non uniform averagings in the ergodic theorem for stochastic flows. (English. Russian original) Zbl 1221.37011 Dokl. Math. 81, No. 3, 422-425 (2010); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 432, No. 4, 443-446 (2010). Reviewer: Cryssoula Ganatsiou (Larissa) MSC: 37A50 37A30 PDFBibTeX XMLCite \textit{V. I. Bogachev} et al., Dokl. Math. 81, No. 3, 422--425 (2010; Zbl 1221.37011); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 432, No. 4, 443--446 (2010) Full Text: DOI
Kozlov, V. V. Variational principle for periodic orbits of invertible dynamical equations. (English. Russian original) Zbl 1200.49047 Dokl. Math. 81, No. 1, 139-141 (2010); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 430, No. 5, 603-605 (2010). MSC: 49S05 34H05 49K15 70Q05 PDFBibTeX XMLCite \textit{V. V. Kozlov}, Dokl. Math. 81, No. 1, 139--141 (2010; Zbl 1200.49047); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 430, No. 5, 603--605 (2010) Full Text: DOI
Blank, M. L. Collective phenomena in lattices of weakly interacting mappings. (English. Russian original) Zbl 1203.82062 Dokl. Math. 81, No. 1, 39-42 (2010); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 430, No. 3, 300-304 (2010). MSC: 82C22 37K60 37A50 82B20 PDFBibTeX XMLCite \textit{M. L. Blank}, Dokl. Math. 81, No. 1, 39--42 (2010; Zbl 1203.82062); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 430, No. 3, 300--304 (2010) Full Text: DOI
Nedostupov, E. V.; Sarancha, D. A.; Chigerev, E. N.; Yurezanskaya, Yu. S. Some properties of one-dimensional unimodal mappings. (English. Russian original) Zbl 1211.37049 Dokl. Math. 81, No. 1, 16-21 (2010); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 430, No. 1, 23-28 (2010). Reviewer: Xueyong Zhou (Xinyang) MSC: 37E05 37N25 PDFBibTeX XMLCite \textit{E. V. Nedostupov} et al., Dokl. Math. 81, No. 1, 16--21 (2010; Zbl 1211.37049); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 430, No. 1, 23--28 (2010) Full Text: DOI
Oshemkov, A. A. Factors of minimal models for saddle singularities of integrable Hamiltonian systems. (English. Russian original) Zbl 1204.37060 Dokl. Math. 82, No. 1, 549-553 (2010); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 433, No. 2, 173-177 (2010). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37J05 37J15 PDFBibTeX XMLCite \textit{A. A. Oshemkov}, Dokl. Math. 82, No. 1, 549--553 (2010; Zbl 1204.37060); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 433, No. 2, 173--177 (2010) Full Text: DOI
Lerman, L. M.; Markova, A. P. Homoclinic orbits to 1-elliptic points and KAM-curves and scattering. (English. Russian original) Zbl 1208.37015 Dokl. Math. 82, No. 1, 508-510 (2010); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 433, No. 1, 10-12 (2010). Reviewer: Vasile Marinca (Timişoara) MSC: 37C29 70H08 70H05 PDFBibTeX XMLCite \textit{L. M. Lerman} and \textit{A. P. Markova}, Dokl. Math. 82, No. 1, 508--510 (2010; Zbl 1208.37015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 433, No. 1, 10--12 (2010) Full Text: DOI
Bruno, A. D.; Edneral, V. F. Algorithmic analysis of local integrability. (English. Russian original) Zbl 1251.37051 Dokl. Math. 79, No. 1, 48-52 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 424, No. 3, 299-303 (2009). MSC: 37J05 37G05 34A25 34C20 PDFBibTeX XMLCite \textit{A. D. Bruno} and \textit{V. F. Edneral}, Dokl. Math. 79, No. 1, 48--52 (2009; Zbl 1251.37051); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 424, No. 3, 299--303 (2009) Full Text: DOI
Yumagulov, M. G. An operator method for studying regular bifurcations in multiparameter systems. (English. Russian original) Zbl 1262.47085 Dokl. Math. 79, No. 1, 41-44 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 424, No. 2, 177-180 (2009). Reviewer: Guy Katriel (Haifa) MSC: 47J15 34C23 37G99 PDFBibTeX XMLCite \textit{M. G. Yumagulov}, Dokl. Math. 79, No. 1, 41--44 (2009; Zbl 1262.47085); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 424, No. 2, 177--180 (2009) Full Text: DOI
Rozikov, U. A.; Zada, A. On \(l\)-Volterra quadratic stochastic operators. (English. Russian original) Zbl 1263.47073 Dokl. Math. 79, No. 1, 32-34 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 424, No. 2, 168-170 (2009). Reviewer: Eva Sánchez (Madrid) MSC: 47H99 60H25 37B99 37N25 92D10 PDFBibTeX XMLCite \textit{U. A. Rozikov} and \textit{A. Zada}, Dokl. Math. 79, No. 1, 32--34 (2009; Zbl 1263.47073); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 424, No. 2, 168--170 (2009) Full Text: DOI
Kozlov, V. V. Kelvin’s instability theorem: topological meaning and generalizations. (English. Russian original) Zbl 1251.37036 Dokl. Math. 79, No. 1, 25-28 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 424, No. 2, 161-164 (2009). MSC: 37C75 34D20 70E50 PDFBibTeX XMLCite \textit{V. V. Kozlov}, Dokl. Math. 79, No. 1, 25--28 (2009; Zbl 1251.37036); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 424, No. 2, 161--164 (2009) Full Text: DOI
Sadovskii, M. G.; Senashova, M. Yu.; Brychev, P. A. A model of optimal migration of locally informed beings. (English. Russian original) Zbl 1179.91219 Dokl. Math. 80, No. 1, 627-629 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 427, No. 2, 176-178 (2009). MSC: 91D10 91B44 37N40 PDFBibTeX XMLCite \textit{M. G. Sadovskii} et al., Dokl. Math. 80, No. 1, 627--629 (2009; Zbl 1179.91219); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 427, No. 2, 176--178 (2009) Full Text: DOI
Akaev, A. A.; Sarygulov, A. I.; Sokolov, V. N. Control of a dynamics of economic development with help of structural shifts. (English. Russian original) Zbl 1183.37160 Dokl. Math. 80, No. 3, 936-941 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 429, No. 2, 168-173 (2009). MSC: 37N40 PDFBibTeX XMLCite \textit{A. A. Akaev} et al., Dokl. Math. 80, No. 3, 936--941 (2009; Zbl 1183.37160); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 429, No. 2, 168--173 (2009) Full Text: DOI
Teplinskii, A. Yu.; Khanin, K. M. A sharp estimate for the smoothness of a conjugacy linearizing a nonlinear circle diffeomorphism. (English. Russian original) Zbl 1184.37037 Dokl. Math. 80, No. 2, 701-705 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 428, No. 3, 317-321 (2009). MSC: 37E10 37E45 PDFBibTeX XMLCite \textit{A. Yu. Teplinskii} and \textit{K. M. Khanin}, Dokl. Math. 80, No. 2, 701--705 (2009; Zbl 1184.37037); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 428, No. 3, 317--321 (2009) Full Text: DOI
Savchin, V. M.; Budochkina, S. A. Symmetries and first integrals in the mechanics of infinite-dimensional systems. (English. Russian original) Zbl 1347.70025 Dokl. Math. 79, No. 2, 189-190 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 425, No. 2, 169-171 (2009). MSC: 70G60 70G65 70G70 37K05 34G20 35A30 PDFBibTeX XMLCite \textit{V. M. Savchin} and \textit{S. A. Budochkina}, Dokl. Math. 79, No. 2, 189--190 (2009; Zbl 1347.70025); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 425, No. 2, 169--171 (2009) Full Text: DOI
Prokhorov, L. V.; Ushakov, A. S. Variational principle in Hamiltonian mechanics. (English. Russian original) Zbl 1333.70026 Dokl. Math. 78, No. 3, 925-928 (2008); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 423, No. 3, 308-311 (2008). MSC: 70H05 37J05 37K05 PDFBibTeX XMLCite \textit{L. V. Prokhorov} and \textit{A. S. Ushakov}, Dokl. Math. 78, No. 3, 925--928 (2008; Zbl 1333.70026); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 423, No. 3, 308--311 (2008) Full Text: DOI