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
Salnikova, T. V.; Kugushev, E. I.; Demidov, A. A. Dynamics of systems with unilateral differential constraints. (English. Russian original) Zbl 07820589 Dokl. Math. 108, No. 3, 431-437 (2023); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 514, 12-19 (2023). MSC: 70F25 70H03 PDFBibTeX XMLCite \textit{T. V. Salnikova} et al., Dokl. Math. 108, No. 3, 431--437 (2023; Zbl 07820589); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 514, 12--19 (2023) Full Text: DOI
Krasilnikov, P. S.; Dobroslavskiy, A. V. Averaged spatial circular restricted three-body problem: internal case and new results. (English. Russian original) Zbl 07786641 Dokl. Math. 108, No. 1, 269-276 (2023); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 512, 33-41 (2023). MSC: 70F07 70K65 70-08 PDFBibTeX XMLCite \textit{P. S. Krasilnikov} and \textit{A. V. Dobroslavskiy}, Dokl. Math. 108, No. 1, 269--276 (2023; Zbl 07786641); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 512, 33--41 (2023) Full Text: DOI
Golubev, Yu. F. Optimization of oscillations of mechanical systems with friction. (English. Russian original) Zbl 07786639 Dokl. Math. 108, No. 1, 256-263 (2023); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 512, 18-26 (2023). MSC: 70Q05 70K40 70F40 70F20 PDFBibTeX XMLCite \textit{Yu. F. Golubev}, Dokl. Math. 108, No. 1, 256--263 (2023; Zbl 07786639); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 512, 18--26 (2023) Full Text: DOI
Belozerov, G. V. Integrability of a geodesic flow on the intersection of several confocal quadrics. (English. Russian original) Zbl 1524.70053 Dokl. Math. 107, No. 1, 1-3 (2023); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 509, 5-7 (2023). MSC: 70H06 53C22 PDFBibTeX XMLCite \textit{G. V. Belozerov}, Dokl. Math. 107, No. 1, 1--3 (2023; Zbl 1524.70053); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 509, 5--7 (2023) Full Text: DOI
Rozenblat, G. M. On optimal rotation of a rigid body by applying internal forces. (English. Russian original) Zbl 1506.70035 Dokl. Math. 106, No. 1, 291-297 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 505, 92-99 (2022). MSC: 70Q05 70E15 49N90 PDFBibTeX XMLCite \textit{G. M. Rozenblat}, Dokl. Math. 106, No. 1, 291--297 (2022; Zbl 1506.70035); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 505, 92--99 (2022) Full Text: DOI
Berlin, L. M.; Galyaev, A. A. Extremum conditions for constrained scalar control of two nonsynchronous oscillators in the time-optimal control problem. (English. Russian original) Zbl 1498.49039 Dokl. Math. 106, No. 1, 286-290 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 505, 86-91 (2022). MSC: 49K30 93C30 93C55 70Q05 PDFBibTeX XMLCite \textit{L. M. Berlin} and \textit{A. A. Galyaev}, Dokl. Math. 106, No. 1, 286--290 (2022; Zbl 1498.49039); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 505, 86--91 (2022) Full Text: DOI
Vedenyapin, V. V. On derivation of equations of electrodynamics and gravitation from the principle of least action, the Hamilton-Jacobi method, and cosmological solutions. (English. Russian original) Zbl 1507.83012 Dokl. Math. 105, No. 3, 178-182 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 504, 51-55 (2022). MSC: 83C22 35Q83 35J05 83F05 35F21 70H20 PDFBibTeX XMLCite \textit{V. V. Vedenyapin}, Dokl. Math. 105, No. 3, 178--182 (2022; Zbl 1507.83012); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 504, 51--55 (2022) Full Text: DOI
Golubev, Yu. F. Optimization of oscillations of mechanical systems. (English. Russian original) Zbl 1491.49014 Dokl. Math. 105, No. 1, 45-49 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 502, 52-57 (2022). MSC: 49K15 70Q05 49S05 PDFBibTeX XMLCite \textit{Yu. F. Golubev}, Dokl. Math. 105, No. 1, 45--49 (2022; Zbl 1491.49014); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 502, 52--57 (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
Ivanov, A. P. Proof of stability in the Brower-Paul problem. (English. Russian original) Zbl 1498.70028 Dokl. Math. 104, No. 3, 351-354 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 501, 42-45 (2021). Reviewer: Lennard Bakker (Provo) MSC: 70H14 PDFBibTeX XMLCite \textit{A. P. Ivanov}, Dokl. Math. 104, No. 3, 351--354 (2021; Zbl 1498.70028); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 501, 42--45 (2021) Full Text: DOI
Finogenko, I. A. Attraction for mechanical systems with friction. (English. Russian original) Zbl 1514.70023 Dokl. Math. 104, No. 2, 306-310 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 500, 102-106 (2021). MSC: 70K20 70F40 PDFBibTeX XMLCite \textit{I. A. Finogenko}, Dokl. Math. 104, No. 2, 306--310 (2021; Zbl 1514.70023); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 500, 102--106 (2021) Full Text: DOI
Salnikova, T. V. Existence and stability of equilibrium solutions of the Vlasov equation with a modified gravitational potential. (English. Russian original) Zbl 1487.81139 Dokl. Math. 104, No. 2, 277-281 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 500, 67-73 (2021). MSC: 81T55 70F16 81V55 82M36 PDFBibTeX XMLCite \textit{T. V. Salnikova}, Dokl. Math. 104, No. 2, 277--281 (2021; Zbl 1487.81139); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 500, 67--73 (2021) Full Text: DOI
Alekseev, G. A.; Afonin, K. A.; Bogachev, V. I. On Gaussian transition operators. (English. Russian original) Zbl 1487.81108 Dokl. Math. 104, No. 2, 229-233 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 500, 10-15 (2021). MSC: 81R30 60J35 70K25 PDFBibTeX XMLCite \textit{G. A. Alekseev} et al., Dokl. Math. 104, No. 2, 229--233 (2021; Zbl 1487.81108); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 500, 10--15 (2021) Full Text: DOI
Shamolin, M. V. New cases of homogeneous integrable systems with dissipation on tangent bundles of four-dimensional manifolds. (English. Russian original) Zbl 1482.37059 Dokl. Math. 103, No. 2, 85-91 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 497, 23-30 (2021). MSC: 37J35 37J39 70H06 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Dokl. Math. 103, No. 2, 85--91 (2021; Zbl 1482.37059); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 497, 23--30 (2021) Full Text: DOI
Vedyushkina, V. V.; Fomenko, A. T. Force evolutionary billiards and billiard equivalence of the Euler and Lagrange cases. (English. Russian original) Zbl 1482.37060 Dokl. Math. 103, No. 1, 1-4 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 496, 5-8 (2021). MSC: 37J35 37J39 70E40 70E17 PDFBibTeX XMLCite \textit{V. V. Vedyushkina} and \textit{A. T. Fomenko}, Dokl. Math. 103, No. 1, 1--4 (2021; Zbl 1482.37060); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 496, 5--8 (2021) Full Text: DOI
Shamolin, M. V. New cases of homogeneous integrable systems with dissipation on tangent bundles of three-dimensional manifolds. (English. Russian original) Zbl 1482.37058 Dokl. Math. 102, No. 3, 518-523 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 495, 84-90 (2020). MSC: 37J35 37J39 70H06 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Dokl. Math. 102, No. 3, 518--523 (2020; Zbl 1482.37058); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 495, 84--90 (2020) Full Text: DOI
Borisov, A. V.; Ryabov, P. E.; Sokolov, S. V. On the existence of focus singularities in one model of a Lagrange top with a vibrating suspension point. (English. Russian original) Zbl 1482.37054 Dokl. Math. 102, No. 3, 468-471 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 495, 26-30 (2020). MSC: 37J35 37J25 70E40 70H06 70H14 PDFBibTeX XMLCite \textit{A. V. Borisov} et al., Dokl. Math. 102, No. 3, 468--471 (2020; Zbl 1482.37054); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 495, 26--30 (2020) Full Text: DOI
Shamolin, M. V. New cases of homogeneous integrable systems with dissipation on tangent bundles of two-dimensional manifolds. (English. Russian original) Zbl 1482.37057 Dokl. Math. 102, No. 2, 443-448 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 494, 105-111 (2020). MSC: 37J35 37J39 70H06 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Dokl. Math. 102, No. 2, 443--448 (2020; Zbl 1482.37057); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 494, 105--111 (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
Shmatkov, A. M. Influence of the size of a controllable device on time-optimal rotation generated by a moving internal mass. (English. Russian original) Zbl 1439.70014 Dokl. Math. 99, No. 3, 325-328 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 486, No. 3, 292-296 (2019). MSC: 70E60 PDFBibTeX XMLCite \textit{A. M. Shmatkov}, Dokl. Math. 99, No. 3, 325--328 (2019; Zbl 1439.70014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 486, No. 3, 292--296 (2019) Full Text: DOI
Orlov, Yu. N.; Sakbaev, V. Zh.; Smolyanov, O. G. Randomized Hamiltonian mechanics. (English. Russian original) Zbl 1428.81080 Dokl. Math. 99, No. 3, 313-316 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 486, No. 6, 653-658 (2019). MSC: 81Q05 70H05 49K45 35R60 34F05 PDFBibTeX XMLCite \textit{Yu. N. Orlov} et al., Dokl. Math. 99, No. 3, 313--316 (2019; Zbl 1428.81080); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 486, No. 6, 653--658 (2019) Full Text: DOI
Vedyushkina, V. V.; Fomenko, A. T. Reducing the degree of integrals of Hamiltonian systems by using billiards. (English. Russian original) Zbl 1423.37055 Dokl. Math. 99, No. 3, 266-269 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 486, No. 2, 151-155 (2019). MSC: 37J35 37D50 70E40 PDFBibTeX XMLCite \textit{V. V. Vedyushkina} and \textit{A. T. Fomenko}, Dokl. Math. 99, No. 3, 266--269 (2019; Zbl 1423.37055); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 486, No. 2, 151--155 (2019) Full Text: DOI
Ryabov, P. E. Bifurcations of Liouville tori in a system of two vortices of positive intensity in a Bose-Einstein condensate. (English. Russian original) Zbl 1416.37052 Dokl. Math. 99, No. 2, 225-229 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 485, No. 6, 670-675 (2019). MSC: 37J20 37J35 37J40 70E40 70K43 PDFBibTeX XMLCite \textit{P. E. Ryabov}, Dokl. Math. 99, No. 2, 225--229 (2019; Zbl 1416.37052); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 485, No. 6, 670--675 (2019) Full Text: DOI
Zheglov, A. B.; Osipov, D. V. On first integrals of linear Hamiltonian systems. (English. Russian original) Zbl 1408.37099 Dokl. Math. 98, No. 3, 616-618 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 483, No. 5, 482-484 (2018). MSC: 37J35 70G65 PDFBibTeX XMLCite \textit{A. B. Zheglov} and \textit{D. V. Osipov}, Dokl. Math. 98, No. 3, 616--618 (2018; Zbl 1408.37099); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 483, No. 5, 482--484 (2018) Full Text: DOI
Kozlov, V. V.; Smolyanov, O. G. Hamiltonian approach to secondary quantization. (English. Russian original) Zbl 1410.81029 Dokl. Math. 98, No. 3, 571-574 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 483, No. 2, 138-142 (2018). MSC: 81S30 81Q05 81V70 81T05 70H05 81S05 81S10 PDFBibTeX XMLCite \textit{V. V. Kozlov} and \textit{O. G. Smolyanov}, Dokl. Math. 98, No. 3, 571--574 (2018; Zbl 1410.81029); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 483, No. 2, 138--142 (2018) Full Text: DOI
Chernous’ko, F. L. Optimal control of the motion of a two-mass system. (English. Russian original) Zbl 1400.49020 Dokl. Math. 97, No. 3, 295-299 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 480, No. 5, 528-532 (2018). MSC: 49K10 70F05 93C85 PDFBibTeX XMLCite \textit{F. L. Chernous'ko}, Dokl. Math. 97, No. 3, 295--299 (2018; Zbl 1400.49020); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 480, No. 5, 528--532 (2018) Full Text: DOI
Sokolov, S. V.; Ryabov, P. E. Bifurcation diagram of the two vortices in a Bose-Einstein condensate with intensities of the same signs. (English. Russian original) Zbl 1396.37063 Dokl. Math. 97, No. 3, 286-290 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 480, No. 6, 652-656 (2018). MSC: 37J20 70E05 37J35 76M23 PDFBibTeX XMLCite \textit{S. V. Sokolov} and \textit{P. E. Ryabov}, Dokl. Math. 97, No. 3, 286--290 (2018; Zbl 1396.37063); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 480, No. 6, 652--656 (2018) Full Text: DOI
Ivanov, A. P. On singular points of equations of mechanics. (English. Russian original) Zbl 1436.70009 Dokl. Math. 97, No. 2, 167-169 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 479, No. 5, 493-496 (2018). MSC: 70K25 34A12 34A36 PDFBibTeX XMLCite \textit{A. P. Ivanov}, Dokl. Math. 97, No. 2, 167--169 (2018; Zbl 1436.70009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 479, No. 5, 493--496 (2018) Full Text: DOI
Bardin, B. S. On the stability of a periodic Hamiltonian system with one degree of freedom in a transcendental case. (English. Russian original) Zbl 1436.70006 Dokl. Math. 97, No. 2, 161-163 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 479, No. 5, 485-488 (2018). MSC: 70H12 70H14 37J25 34D20 PDFBibTeX XMLCite \textit{B. S. Bardin}, Dokl. Math. 97, No. 2, 161--163 (2018; Zbl 1436.70006); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 479, No. 5, 485--488 (2018) Full Text: DOI
Orlov, S. G. Low dimension models of continuously variable transmission dynamics. (English. Russian original) Zbl 1433.70012 Dokl. Math. 97, No. 2, 152-156 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 479, No. 4, 368-372 (2018). MSC: 70E55 PDFBibTeX XMLCite \textit{S. G. Orlov}, Dokl. Math. 97, No. 2, 152--156 (2018; Zbl 1433.70012); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 479, No. 4, 368--372 (2018) Full Text: DOI
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
Druzhinin, E. I. Computation of program controls performed nonstop by gyrodynes. (English) Zbl 1378.93088 Dokl. Math. 96, No. 2, 528-530 (2017) and Dokl. Akad. Nauk, Ross. Akad. Nauk 476, No. 1, 22-25 (2017). MSC: 93C95 70P05 70Q05 93C15 PDFBibTeX XMLCite \textit{E. I. Druzhinin}, Dokl. Math. 96, No. 2, 528--530 (2017; Zbl 1378.93088) Full Text: DOI
Gough, J.; Ratiu, T. S.; Smolyanov, O. G. Noether theorems and quantum anomalies. (English. Russian original) Zbl 1366.81260 Dokl. Math. 95, No. 1, 26-30 (2017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 472, No. 3, 248-252 (2017). MSC: 81T50 81R40 81T70 70H33 PDFBibTeX XMLCite \textit{J. Gough} et al., Dokl. Math. 95, No. 1, 26--30 (2017; Zbl 1366.81260); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 472, No. 3, 248--252 (2017) Full Text: DOI arXiv
Ryabov, P. E. Explicit integration of the system of invariant relations for the case of M. Adler and P. van Moerbeke. (English. Russian original) Zbl 1367.37052 Dokl. Math. 95, No. 1, 17-20 (2017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 472, No. 2, 130-134 (2017). MSC: 37J35 37J15 70E40 PDFBibTeX XMLCite \textit{P. E. Ryabov}, Dokl. Math. 95, No. 1, 17--20 (2017; Zbl 1367.37052); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 472, No. 2, 130--134 (2017) Full Text: DOI
Malyshev, V. A. Models with virtual force carriers in classical particle physics. (English) Zbl 1369.70023 Dokl. Math. 94, No. 1, 472-475 (2016) and Dokl. Akad. Nauk, Ross. Akad. Nauk 469, No. 3, 291-294 (2016). MSC: 70F05 PDFBibTeX XMLCite \textit{V. A. Malyshev}, Dokl. Math. 94, No. 1, 472--475 (2016; Zbl 1369.70023) 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
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
Ratiu, T. S.; Smolyanov, O. G. Wigner quantization of Hamilton-Dirac systems. (English. Russian original) Zbl 1337.81082 Dokl. Math. 91, No. 1, 114-116 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 460, No. 5, 525-528 (2015). Reviewer: Stefan Berceanu (Bucureşti) MSC: 81S10 81S30 70H05 53D55 PDFBibTeX XMLCite \textit{T. S. Ratiu} and \textit{O. G. Smolyanov}, Dokl. Math. 91, No. 1, 114--116 (2015; Zbl 1337.81082); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 460, No. 5, 525--528 (2015) Full Text: DOI
Ratiu, T. S.; Smolyanov, O. G. Hamiltonian structures in the quantum theory of Hamilton-Dirac systems. (English. Russian original) Zbl 1337.81086 Dokl. Math. 91, No. 1, 68-71 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 460, No. 4, 385-388 (2015). Reviewer: Stefan Berceanu (Bucureşti) MSC: 81S30 70H05 81S10 70H45 81V70 PDFBibTeX XMLCite \textit{T. S. Ratiu} and \textit{O. G. Smolyanov}, Dokl. Math. 91, No. 1, 68--71 (2015; Zbl 1337.81086); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 460, No. 4, 385--388 (2015) Full Text: DOI
Anulova, S. V.; Veretennikov, A. Yu. Exponential convergence of multi-dimensional stochastic mechanical systems with switching impacts. (English. Russian original) Zbl 1330.60071 Dokl. Math. 91, No. 1, 60-63 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 460, No. 4, 377-380 (2015). MSC: 60H10 70F99 PDFBibTeX XMLCite \textit{S. V. Anulova} and \textit{A. Yu. Veretennikov}, Dokl. Math. 91, No. 1, 60--63 (2015; Zbl 1330.60071); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 460, No. 4, 377--380 (2015) Full Text: DOI
Bizyaev, I. A. Nonintegrability and obstructions to the Hamiltonianization of a nonholonomic Chaplygin top. (English. Russian original) Zbl 1316.37033 Dokl. Math. 90, No. 2, 631-634 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 458, No. 4, 398-401 (2014). MSC: 37J30 70H07 PDFBibTeX XMLCite \textit{I. A. Bizyaev}, Dokl. Math. 90, No. 2, 631--634 (2014; Zbl 1316.37033); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 458, No. 4, 398--401 (2014) Full Text: DOI
Sadovnikov, B. I.; Perepelkin, E. E.; Inozemtseva, N. G. Coordinate uncertainty principle in a generalized phase space. (English. Russian original) Zbl 1317.82048 Dokl. Math. 90, No. 2, 628-630 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 458, No. 2, 150-152 (2014). Reviewer: Oleg A. Sinkevich (Moskva) MSC: 82C40 70B05 PDFBibTeX XMLCite \textit{B. I. Sadovnikov} et al., Dokl. Math. 90, No. 2, 628--630 (2014; Zbl 1317.82048); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 458, No. 2, 150--152 (2014) Full Text: DOI
Kozlov, V. V. Fluctuations of Gibbs ensembles. (English. Russian original) Zbl 1317.82006 Dokl. Math. 90, No. 2, 622-625 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 458, No. 1, 22-26 (2014). Reviewer: Oleg A. Sinkevich (Moskva) MSC: 82B05 70S05 70F10 82C40 60G20 PDFBibTeX XMLCite \textit{V. V. Kozlov}, Dokl. Math. 90, No. 2, 622--625 (2014; Zbl 1317.82006); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 458, No. 1, 22--26 (2014) Full Text: DOI
Batkhin, A. B. Web of families of periodic orbits of the generalized Hill problem. (English. Russian original) Zbl 1391.70052 Dokl. Math. 90, No. 2, 539-544 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 458, No. 2, 131-137 (2014). MSC: 70H12 37J45 PDFBibTeX XMLCite \textit{A. B. Batkhin}, Dokl. Math. 90, No. 2, 539--544 (2014; Zbl 1391.70052); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 458, No. 2, 131--137 (2014) Full Text: DOI
Bruno, A. D. On an integrable Hamiltonian system. (English. Russian original) Zbl 1315.37036 Dokl. Math. 90, No. 1, 499-502 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 457, No. 6, 631-634 (2014). Reviewer: William J. Satzer jun. (St. Paul) MSC: 37J40 70E17 PDFBibTeX XMLCite \textit{A. D. Bruno}, Dokl. Math. 90, No. 1, 499--502 (2014; Zbl 1315.37036); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 457, No. 6, 631--634 (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
Slavina, N. S. Classification of the family of Kovalevskaya-Yehia systems up to Liouville equivalence. (English. Russian original) Zbl 1291.70014 Dokl. Math. 88, No. 2, 537-540 (2013); translation from Dokl. Akad. Nauk. 452, No. 3, 252-255 (2013). Reviewer: Božidar Jovanović (Beograd) MSC: 70E40 37J35 70E05 70G40 PDFBibTeX XMLCite \textit{N. S. Slavina}, Dokl. Math. 88, No. 2, 537--540 (2013; Zbl 1291.70014); translation from Dokl. Akad. Nauk. 452, No. 3, 252--255 (2013) Full Text: DOI
Danilin, A. R.; Kovrizhnykh, O. O. Time-optimal control of a small mass point without environmental resistance. (English. Russian original) Zbl 1276.49003 Dokl. Math. 88, No. 1, 465-467 (2013); translation from Dokl. Akad. Nauk, 451, No. 6, 612-614 (2013). MSC: 49J15 49K15 34H05 70Q05 PDFBibTeX XMLCite \textit{A. R. Danilin} and \textit{O. O. Kovrizhnykh}, Dokl. Math. 88, No. 1, 465--467 (2013; Zbl 1276.49003); translation from Dokl. Akad. Nauk, 451, No. 6, 612--614 (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
Kozlov, I. K.; Ratiu, T. S. Bifurcation diagram for the Kovalevskaya case on the Lie algebra \(\mathrm{so}(4)\). (English. Russian summary) Zbl 1268.37076 Dokl. Math. 86, No. 3, 827-830 (2012); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 447, No. 5, 486-489 (2012). Reviewer: Willard Miller jun. (Minneapolis) MSC: 37J15 37J20 37J35 70H06 PDFBibTeX XMLCite \textit{I. K. Kozlov} and \textit{T. S. Ratiu}, Dokl. Math. 86, No. 3, 827--830 (2012; Zbl 1268.37076); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 447, No. 5, 486--489 (2012) Full Text: DOI
Leonov, G. A.; Zaretskiĭ, A. M. Asymptotic behavior of solutions of differential equations describing synchronous machines. (English. Russian original) Zbl 1348.70054 Dokl. Math. 86, No. 1, 530-533 (2012); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 445, No. 4, 386-389 (2012). MSC: 70K20 34D05 PDFBibTeX XMLCite \textit{G. A. Leonov} and \textit{A. M. Zaretskiĭ}, Dokl. Math. 86, No. 1, 530--533 (2012; Zbl 1348.70054); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 445, No. 4, 386--389 (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
Kozlov, V. V.; Smolyanov, O. G. Hamiltonian aspects of quantum theory. (English. Russian original) Zbl 1260.81092 Dokl. Math. 85, No. 3, 416-420 (2012); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 444, No. 6, 607-611 (2012). MSC: 81Q20 81S30 81S10 70H05 PDFBibTeX XMLCite \textit{V. V. Kozlov} and \textit{O. G. Smolyanov}, Dokl. Math. 85, No. 3, 416--420 (2012; Zbl 1260.81092); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 444, No. 6, 607--611 (2012) Full Text: DOI
Il’in, V. A. Optimization scheme for boundary control by displacements at two ends of oscillations of a rod consisting of two dissimilar segments. (English. Russian original) Zbl 1264.93085 Dokl. Math. 84, No. 3, 854-856 (2011); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 441, No. 6, 731-733 (2011). MSC: 93C15 70Q05 49J15 PDFBibTeX XMLCite \textit{V. A. Il'in}, Dokl. Math. 84, No. 3, 854--856 (2011; Zbl 1264.93085); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 441, No. 6, 731--733 (2011) Full Text: DOI
Martynenko, Yu. G.; Formal’skiĭ, A. M. Pendulum on a movable base. (English. Russian original) Zbl 1318.93076 Dokl. Math. 84, No. 1, 594-599 (2011); translation from Dokl. Akad. Nauk 439, No. 6, 746-751 (2011). MSC: 93D15 70E50 70K05 PDFBibTeX XMLCite \textit{Yu. G. Martynenko} and \textit{A. M. Formal'skiĭ}, Dokl. Math. 84, No. 1, 594--599 (2011; Zbl 1318.93076); translation from Dokl. Akad. Nauk 439, No. 6, 746--751 (2011) Full Text: DOI
Budochkina, S. A.; Savchin, V. M. On \(B_u\)-Hamiltonian equations in mechanics of infinite-dimensional systems. (English. Russian original) Zbl 1318.70012 Dokl. Math. 84, No. 1, 525-526 (2011); translation from Dokl. Akad. Nauk 439, No. 4, 483-484 (2011). MSC: 70H05 70S05 37K05 34C20 PDFBibTeX XMLCite \textit{S. A. Budochkina} and \textit{V. M. Savchin}, Dokl. Math. 84, No. 1, 525--526 (2011; Zbl 1318.70012); translation from Dokl. Akad. Nauk 439, No. 4, 483--484 (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
Ermilov, A. S.; Ermilova, T. V. A mathematical model for the angular motion of large space structures with gyroscopic drive for an active compensation of elastic oscillations. (English. Russian original) Zbl 1358.70035 Dokl. Math. 83, No. 1, 136-139 (2011); translation from Dokl. Akad. Nauk 436, No. 6, 743-746 (2011). MSC: 70Q05 70E15 70M20 93C15 PDFBibTeX XMLCite \textit{A. S. Ermilov} and \textit{T. V. Ermilova}, Dokl. Math. 83, No. 1, 136--139 (2011; Zbl 1358.70035); translation from Dokl. Akad. Nauk 436, No. 6, 743--746 (2011) Full Text: DOI
Smol’yakov, È. R. Singular extremals in analytical mechanics. (English. Russian original) Zbl 1333.70016 Dokl. Math. 82, No. 3, 991-994 (2010); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 435, No. 5, 601-605 (2010). MSC: 70F05 49J30 PDFBibTeX XMLCite \textit{È. R. Smol'yakov}, Dokl. Math. 82, No. 3, 991--994 (2010; Zbl 1333.70016); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 435, No. 5, 601--605 (2010) Full Text: DOI
Smirnov, I. N. Mixed problems for the telegraph equation in the case of a system consisting of two segments with different densities and elasticities but equal impedances: one-sided control. (English. Russian original) Zbl 1215.93068 Dokl. Math. 82, No. 3, 858-861 (2010); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 435, No. 1, 22-25 (2010). MSC: 93C20 35L20 70Q05 PDFBibTeX XMLCite \textit{I. N. Smirnov}, Dokl. Math. 82, No. 3, 858--861 (2010; Zbl 1215.93068); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 435, No. 1, 22--25 (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
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
Berdyshev, V. I. Visibility characteristic of a moving point. (English. Russian original) Zbl 1255.49023 Dokl. Math. 79, No. 1, 94-96 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 424, No. 5, 588-590 (2009). Reviewer: Do Van Luu (Hanoi) MSC: 49J52 70B05 49K35 PDFBibTeX XMLCite \textit{V. I. Berdyshev}, Dokl. Math. 79, No. 1, 94--96 (2009; Zbl 1255.49023); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 424, No. 5, 588--590 (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
Smol’yakov, È. R. Extremal dimension theory and derivation of differential equations of motion. (English. Russian original) Zbl 1376.70032 Dokl. Math. 80, No. 3, 950-953 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 429, No. 6, 750-753 (2009). MSC: 70F99 00A73 PDFBibTeX XMLCite \textit{È. R. Smol'yakov}, Dokl. Math. 80, No. 3, 950--953 (2009; Zbl 1376.70032); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 429, No. 6, 750--753 (2009) Full Text: DOI
Tsiganov, A. V. On the bi-Hamiltonian structure of the Goryachev system on the sphere. (English. Russian original) Zbl 1181.37102 Dokl. Math. 79, No. 3, 430-433 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 426, No. 6, 740-743 (2009). Reviewer: William J. Satzer jun. (St. Paul) MSC: 37K10 70H20 70H06 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, Dokl. Math. 79, No. 3, 430--433 (2009; Zbl 1181.37102); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 426, No. 6, 740--743 (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
Tsyganov, A. V. Addition theorems and superintegrable systems. (English. Russian original) Zbl 1223.37071 Dokl. Math. 78, No. 2, 759-762 (2008); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 422, No. 5, 605-607 (2008). MSC: 37J35 70H06 PDFBibTeX XMLCite \textit{A. V. Tsyganov}, Dokl. Math. 78, No. 2, 759--762 (2008; Zbl 1223.37071); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 422, No. 5, 605--607 (2008) Full Text: DOI
Kozlov, V. V. Gyroscopic stabilization of degenerate equilibria and the topology of real algebraic varieties. (English. Russian original) Zbl 1152.37022 Dokl. Math. 77, No. 3, 412-415 (2008); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 420, No. 4, 447-450 (2008). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 37J05 70E05 14P25 14H70 PDFBibTeX XMLCite \textit{V. V. Kozlov}, Dokl. Math. 77, No. 3, 412--415 (2008; Zbl 1152.37022); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 420, No. 4, 447--450 (2008) Full Text: DOI
Pavlikov, S. V. Stabilization of the motions of controlled mechanical systems by a regulator with delay. (English. Russian original) Zbl 1327.93329 Dokl. Math. 75, No. 1, 174-176 (2007); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 412, No. 2, 176-178 (2007). MSC: 93D20 93C85 70Q05 PDFBibTeX XMLCite \textit{S. V. Pavlikov}, Dokl. Math. 75, No. 1, 174--176 (2007; Zbl 1327.93329); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 412, No. 2, 176--178 (2007) Full Text: DOI
Tsiganov, A. V. Separation of variables for a pair of integrable systems on \(\mathrm{so}^*(4)\). (English. Russian original) Zbl 1151.37054 Dokl. Math. 76, No. 3, 839-842 (2007); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 417, No. 2, 171-174 (2007). MSC: 37K10 70E40 70H06 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, Dokl. Math. 76, No. 3, 839--842 (2007; Zbl 1151.37054); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 417, No. 2, 171--174 (2007) Full Text: DOI
Kirillov, O. N. Gyroscopic stabilization in the presence of nonconservative forces. (English. Russian original) Zbl 1162.70005 Dokl. Math. 76, No. 2, 780-785 (2007); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 416, No. 4, 451-456 (2007). Reviewer: Mihail Megan (Timişoara) MSC: 70E50 70E05 PDFBibTeX XMLCite \textit{O. N. Kirillov}, Dokl. Math. 76, No. 2, 780--785 (2007; Zbl 1162.70005); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 416, No. 4, 451--456 (2007) Full Text: DOI
Pavlikov, S. V. The stability of motions of hereditary systems with infinite delay. (English. Russian original) Zbl 1158.34340 Dokl. Math. 76, No. 2, 678-680 (2007); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 416, No. 2, 166-168 (2007). MSC: 34K20 70K20 PDFBibTeX XMLCite \textit{S. V. Pavlikov}, Dokl. Math. 76, No. 2, 678--680 (2007; Zbl 1158.34340); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 416, No. 2, 166--168 (2007) Full Text: DOI
Kirillov, O. N. Gyroscopic stabilization in the presence of nonconservative forces. (English. Russian original) Zbl 1179.70010 Dokl. Math. 76, No. 2, 780-785 (2007); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 416, No. 4, 451-456 (2007). Reviewer: Andrei Zemskov (Moskva) MSC: 70J25 34D20 70Q05 PDFBibTeX XMLCite \textit{O. N. Kirillov}, Dokl. Math. 76, No. 1, 451--456 (2007; Zbl 1179.70010); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 416, No. 4, 451--456 (2007) Full Text: DOI
Suleimanov, B. I. On some typical features of motion with damping in the case of smooth inhomogeneity. (English. Russian original) Zbl 1327.70017 Dokl. Math. 73, No. 2, 299-301 (2006); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 407, No. 4, 460-462 (2006). MSC: 70K70 34E10 34E15 PDFBibTeX XMLCite \textit{B. I. Suleimanov}, Dokl. Math. 73, No. 2, 299--301 (2006; Zbl 1327.70017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 407, No. 4, 460--462 (2006) Full Text: DOI
Koltsova, O. Yu.; Lerman, L. M.; Delshams, A.; Gutiérrez, P. Homoclinic orbits for invariant tori of nearly integrable Hamiltonian systems. (English. Russian original) Zbl 1327.37018 Dokl. Math. 73, No. 2, 217-220 (2006); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 407, No. 3, 307-310 (2006). MSC: 37J40 37C29 70H08 PDFBibTeX XMLCite \textit{O. Yu. Koltsova} et al., Dokl. Math. 73, No. 2, 217--220 (2006; Zbl 1327.37018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 407, No. 3, 307--310 (2006) Full Text: DOI
Kovaleva, A. S.; Akulenko, L. D. Estimation of the sojourn time of a weakly perturbed Lagrangian system in a given region. (English. Russian original) Zbl 1378.93115 Dokl. Math. 74, No. 3, 930-933 (2006); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 411, No. 1, 25-29 (2006). MSC: 93E03 34F05 34C29 37J05 37N35 62G05 70H03 PDFBibTeX XMLCite \textit{A. S. Kovaleva} and \textit{L. D. Akulenko}, Dokl. Math. 74, No. 3, 930--933 (2006; Zbl 1378.93115); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 411, No. 1, 25--29 (2006) Full Text: DOI
Il’in, V. A.; Moiseev, E. I. Optimization of a boundary control by a displacement at one end of a string based on minimization of the integral of the modulus of the derivative of the displacement raised to an arbitrary power \(p \geq 1\). (English. Russian original) Zbl 1204.49017 Dokl. Math. 74, No. 3, 878-882 (2006); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 411, No. 6, 736-740 (2006). MSC: 49K20 93C20 74K05 74M05 70Q05 PDFBibTeX XMLCite \textit{V. A. Il'in} and \textit{E. I. Moiseev}, Dokl. Math. 74, No. 3, 878--882 (2006; Zbl 1204.49017); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 411, No. 6, 736--740 (2006) Full Text: DOI
Sadetov, S. T. Series of rational potentials separable in elliptic coordinates. (English. Russian original) Zbl 1208.37028 Dokl. Math. 74, No. 3, 834-838 (2006); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 411, No. 3, 309-313 (2006). Reviewer: Vladislav Nikolaevich Dumachev (Voronezh) MSC: 37F10 70H20 70H06 PDFBibTeX XMLCite \textit{S. T. Sadetov}, Dokl. Math. 74, No. 3, 834--838 (2006; Zbl 1208.37028); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 411, No. 3, 309--313 (2006) Full Text: DOI
Formal’skiĭ, A. M. Stabilization of an inverted pendulum with a fixed or movable suspension point. (English. Russian original) Zbl 1155.93410 Dokl. Math. 73, No. 1, 152-156 (2006); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 406, No. 2, 175-179 (2006). MSC: 93D15 70Q05 PDFBibTeX XMLCite \textit{A. M. Formal'skiĭ}, Dokl. Math. 73, No. 1, 152--156 (2006; Zbl 1155.93410); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 406, No. 2, 175--179 (2006) Full Text: DOI
El’bert, A. E. Asymptotic solution of the restricted bounded three-body problem with a mass point moving near a small-mass body. (English. Russian original) Zbl 1216.70007 Dokl. Math. 74, No. 2, 640-643 (2006); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 410, No. 1, 24-27 (2006). MSC: 70F07 PDFBibTeX XMLCite \textit{A. E. El'bert}, Dokl. Math. 74, No. 2, 640--643 (2006; Zbl 1216.70007); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 410, No. 1, 24--27 (2006) Full Text: DOI
Bruno, A. D.; Gashenenko, I. N. Simple exact solutions to the N. Kowalewski equations. (English. Russian original) Zbl 1160.70004 Dokl. Math. 74, No. 1, 536-539 (2006); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 409, No. 4, 439-440 (2006). Reviewer: Li-Qun Chen (Shanghai) MSC: 70E40 70E17 PDFBibTeX XMLCite \textit{A. D. Bruno} and \textit{I. N. Gashenenko}, Dokl. Math. 74, No. 1, 536--539 (2006; Zbl 1160.70004); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 409, No. 4, 439--440 (2006) Full Text: DOI
Kirillov, O. N.; Seĭranian, A. P. Instability of distributed nonconservative systems caused by weak dissipation. (English. Russian original) Zbl 1272.70082 Dokl. Math. 71, No. 3, 470-475 (2005); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 402, No. 4, 460-466 (2005). MSC: 70J25 74K10 34B05 34E10 34L15 PDFBibTeX XMLCite \textit{O. N. Kirillov} and \textit{A. P. Seĭranian}, Dokl. Math. 71, No. 3, 470--475 (2005; Zbl 1272.70082); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 402, No. 4, 460--466 (2005)
Tsyganov, A. V. On a family of integrable systems on a sphere possessing a cubic integral of motion. (English. Russian original) Zbl 1272.37029 Dokl. Math. 71, No. 3, 413-415 (2005); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 402, No. 4, 457-459 (2005). MSC: 37J35 37D40 70E40 70H06 PDFBibTeX XMLCite \textit{A. V. Tsyganov}, Dokl. Math. 71, No. 3, 413--415 (2005; Zbl 1272.37029); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 402, No. 4, 457--459 (2005)
Haghighatdoost, Gh. The topology of isoenergetic surfaces for the Sokolov integrable case in the Lie algebra \(\mathrm{so}(4)\). (English. Russian original) Zbl 1272.37028 Dokl. Math. 71, No. 2, 256-259 (2005); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 401, No. 5, 599-602 (2005). MSC: 37J35 70E40 70G40 70H06 PDFBibTeX XMLCite \textit{Gh. Haghighatdoost}, Dokl. Math. 71, No. 2, 256--259 (2005; Zbl 1272.37028); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 401, No. 5, 599--602 (2005)
Mikhaĭlov, G. A.; Medvedev, I. N. The effectiveness of importance modeling in the Monte Carlo method. (English. Russian original) Zbl 1272.65006 Dokl. Math. 71, No. 2, 172-176 (2005); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 401, No. 1, 16-20 (2005). MSC: 65C05 70K55 PDFBibTeX XMLCite \textit{G. A. Mikhaĭlov} and \textit{I. N. Medvedev}, Dokl. Math. 71, No. 2, 172--176 (2005; Zbl 1272.65006); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 401, No. 1, 16--20 (2005)
Sadètov, S. T. A Proof of the Mishchenko-Fomenko Conjecture (1981). (English. Russian original) Zbl 1378.37101 Dokl. Math. 70, No. 1, 635-638 (2004); translation from Dokl. Akad. Nauk 397, No. 6, 751-754 (2004). MSC: 37J35 70H06 37N05 PDFBibTeX XMLCite \textit{S. T. Sadètov}, Dokl. Math. 70, No. 1, 635--638 (2004; Zbl 1378.37101); translation from Dokl. Akad. Nauk 397, No. 6, 751--754 (2004)
Berdyshev, V. I. Informativeness of the trajectory in the navigation problem over an altitude field. (English. Russian original) Zbl 1378.93085 Dokl. Math. 70, No. 1, 545-547 (2004); translation from Dokl. Akad. Nauk 397, No. 3, 297-299 (2004). MSC: 93C85 70Q05 94A15 49N90 PDFBibTeX XMLCite \textit{V. I. Berdyshev}, Dokl. Math. 70, No. 1, 545--547 (2004; Zbl 1378.93085); translation from Dokl. Akad. Nauk 397, No. 3, 297--299 (2004)
Knauf, A.; Taĭmanov, I. A. The integrability of the \(n\)-center problem at high energies. (English. Russian original) Zbl 1378.70019 Dokl. Math. 70, No. 1, 502-503 (2004); translation from Dokl. Akad. Nauk 397, No. 1, 20-22 (2004). MSC: 70H06 70F15 37J30 37J35 PDFBibTeX XMLCite \textit{A. Knauf} and \textit{I. A. Taĭmanov}, Dokl. Math. 70, No. 1, 502--503 (2004; Zbl 1378.70019); translation from Dokl. Akad. Nauk 397, No. 1, 20--22 (2004)
Sokolov, V. V. One class of quadratic \(\mathrm{so}(4)\) Hamiltonians. (English. Russian original) Zbl 1122.37315 Dokl. Math. 69, No. 1, 108-111 (2004); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 394, No. 5, 602-605 (2004). MSC: 37J05 70H05 PDFBibTeX XMLCite \textit{V. V. Sokolov}, Dokl. Math. 69, No. 1, 108--111 (2004; Zbl 1122.37315); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 394, No. 5, 602--605 (2004)
Borisov, A. V.; Mamaev, I. S. Necessary and sufficient conditions for the polynomial integrability of generalized Toda chains. (English. Russian original) Zbl 1122.37316 Dokl. Math. 69, No. 1, 131-135 (2004); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 394, No. 4, 449-453 (2004). MSC: 37J35 70H06 PDFBibTeX XMLCite \textit{A. V. Borisov} and \textit{I. S. Mamaev}, Dokl. Math. 69, No. 1, 131--135 (2004; Zbl 1122.37316); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 394, No. 4, 449--453 (2004)
Beznos, A. V.; Grishin, A. A.; Lenskii, A. V.; Okhotsimsky, D. E.; Formal’skii, A. M. A pendulum controlled by a flywheel. (English. Russian original) Zbl 1121.93026 Dokl. Math. 68, No. 2, 302-307 (2003); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 392, No. 743-749 (2003). MSC: 93B52 34H05 70Q05 93D05 PDFBibTeX XMLCite \textit{A. V. Beznos} et al., Dokl. Math. 68, No. 2, 302--307 (2003; Zbl 1121.93026); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 392, No. 743--749 (2003)
Deryabin, M. V.; Fedorov, Yu. N. On reductions on groups of geodesic flows with (left-) right-invariant metrics and their fields of symmetry. (English. Russian original) Zbl 1123.37316 Dokl. Math. 68, No. 1, 75-78 (2003); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 391, No. 4, 439-442 (2003). MSC: 37J35 37J15 37K65 70E40 70H33 37N10 PDFBibTeX XMLCite \textit{M. V. Deryabin} and \textit{Yu. N. Fedorov}, Dokl. Math. 68, No. 1, 75--78 (2003; Zbl 1123.37316); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 391, No. 4, 439--442 (2003)
Bryuno, A. D.; Lunev, V. V. Invariant relations for the Fokker-Planck system. (English. Russian original) Zbl 1282.70035 Dokl. Math. 67, No. 3, 416-422 (2003); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 390, No. 6, 733-739 (2003). MSC: 70H05 37J15 34C14 PDFBibTeX XMLCite \textit{A. D. Bryuno} and \textit{V. V. Lunev}, Dokl. Math. 67, No. 3, 416--422 (2003; Zbl 1282.70035); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 390, No. 6, 733--739 (2003)
Berdyshev, Vitalii Ivanovich New model of unmanned vehicle navigation over the altitude field and its fragment. (English. Russian original) Zbl 1247.90254 Dokl. Math. 67, No. 3, 303-306 (2003); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 390, No. 1, 7-10 (2003). MSC: 90C31 93B07 70Q05 PDFBibTeX XMLCite \textit{V. I. Berdyshev}, Dokl. Math. 67, No. 3, 303--306 (2003; Zbl 1247.90254); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 390, No. 1, 7--10 (2003)
Novik, A. O.; Treshchev, D. V. Splitting of asymptotic manifolds in some Hamiltonian systems with two degrees of freedom. (English. Russian original) Zbl 1246.70018 Dokl. Math. 67, No. 1, 47-49 (2003); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 388, No. 4, 452-455 (2003). MSC: 70H09 37J40 37J45 PDFBibTeX XMLCite \textit{A. O. Novik} and \textit{D. V. Treshchev}, Dokl. Math. 67, No. 1, 47--49 (2003; Zbl 1246.70018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 388, No. 4, 452--455 (2003)
Bryuno, A. D. Power properties of motions of a rigid body. (English. Russian original) Zbl 1146.70312 Dokl. Math. 66, No. 3, 415-420 (2002); translation from Dokl. Akad. Nauk 387, No. 6, 727-732 (2002). MSC: 70E17 34C60 PDFBibTeX XMLCite \textit{A. D. Bryuno}, Dokl. Math. 66, No. 3, 415--420 (2002; Zbl 1146.70312); translation from Dokl. Akad. Nauk 387, No. 6, 727--732 (2002)
Gelfreich, V. G.; Lerman, L. M. The dynamical properties of a singularly perturbed Hamiltonian system near its slow manifolds. (English. Russian original) Zbl 1151.37322 Dokl. Math. 66, No. 3, 403-406 (2002); translation from Dokl. Akad. Nauk 387, No. 5, 596-599 (2002). MSC: 37J40 34E15 70H08 37J45 PDFBibTeX XMLCite \textit{V. G. Gelfreich} and \textit{L. M. Lerman}, Dokl. Math. 66, No. 3, 403--406 (2002; Zbl 1151.37322); translation from Dokl. Akad. Nauk 387, No. 5, 596--599 (2002)