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Found 232 Documents (Results 1–100)

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).
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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
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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).
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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).
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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).
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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
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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
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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).
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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).
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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).
MSC:  37J35 37C83 37J39
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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).
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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).
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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).
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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).
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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
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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
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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).
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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).
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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).
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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
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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).
MSC:  37N25 92C30 92C10
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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).
MSC:  35Q35 76F20
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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
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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).
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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
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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).
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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).
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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).
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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
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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).
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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
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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).
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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
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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).
MSC:  34C20 34A34 34B20 37J05 82C05
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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
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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).
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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).
MSC:  37C60 37C70 70K60
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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
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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).
MSC:  37D35 37C40
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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).
MSC:  37H99 37J99 17B66
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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).
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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).
MSC:  70H03 37N05 37K99
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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).
MSC:  37D20 37C70
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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).
MSC:  37A05 37P20
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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).
MSC:  34A55 93C15 34H05
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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).
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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
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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).
MSC:  37A25 37P20
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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).
MSC:  37D15 37E99
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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).
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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).
MSC:  37G10
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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).
MSC:  37A50 37A30
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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).
MSC:  37E05 37N25
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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).
MSC:  37J05 37J15
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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).
MSC:  37C29 70H08 70H05
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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).
MSC:  47J15 34C23 37G99
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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).
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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
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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
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