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Found 465 Documents (Results 1–100)

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Dynamical phenomena connected with stability loss of equilibria and periodic trajectories. (English. Russian original) Zbl 07505221

Russ. Math. Surv. 76, No. 5, 883-926 (2021); translation from Usp. Mat. Nauk 76, No. 5, 147-194 (2021).
MSC:  37C75 37J20 37N05
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Billiard books realize all bases of Liouville foliations of integrable Hamiltonian systems. (English. Russian original) Zbl 07428661

Sb. Math. 212, No. 8, 1122-1179 (2021); translation from Mat. Sb. 212, No. 8, 89-150 (2021).
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Topological classification of Hamiltonian systems on two-dimensional noncompact manifolds. (English. Russian original) Zbl 1456.37062

Sb. Math. 211, No. 8, 1127-1158 (2020); translation from Mat. Sb. 211, No. 8, 68-101 (2020).
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Noncompact bifurcations of integrable dynamic systems. (English. Russian original) Zbl 1451.37082

J. Math. Sci., New York 248, No. 6, 810-827 (2020); translation from Fundam. Prikl. Mat. 21, No. 6, 217-243 (2016).
MSC:  37J35 37J20 37J39
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How does the Hopf bifurcation appear in the hydrogen atom in a circularly polarized (CP) microwave field? (English) Zbl 1446.37079

Korobeinikov, Andrei (ed.) et al., Extended abstracts Spring 2018. Singularly perturbed systems, multiscale phenomena and hysteresis: theory and applications. Selected papers based on the presentations of the joint 9th international workshop on MUlti-Rate Processes and HYSteresis and the 4th international workshop on hysteresis and slow-fast systems, MURPHYS-HSFS-2018, Barcelona, Spain, May 29 – June 1, 2018. Cham: Birkhäuser. Trends Math., Res. Perspect. CRM Barc. 11, 237-244 (2019).
MSC:  37N15 37J20 78A35
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Symbolic investigation of the dynamics of a system of two connected bodies moving along a circular orbit. (English) Zbl 1470.70037

England, Matthew (ed.) et al., Computer algebra in scientific computing. 21st international workshop, CASC 2019, Moscow, Russia, August 26–30, 2019. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11661, 164-178 (2019).
MSC:  70M20 68W30 37J20
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Billiards and integrability in geometry and physics. New scope and new potential. (English. Russian original) Zbl 1429.37030

Mosc. Univ. Math. Bull. 74, No. 3, 98-107 (2019); translation from Vestn. Mosk. Univ., Ser. I 74, No. 3, 15-25 (2019).
MSC:  37J20 37C83 37J35
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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).
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Billiard books model all three-dimensional bifurcations of integrable Hamiltonian systems. (English. Russian original) Zbl 1408.37098

Sb. Math. 209, No. 12, 1690-1727 (2018); translation from Mat. Sb. 209, No. 12, 17-56 (2018).
MSC:  37J35 37G10 37J20 70E40 37J05
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Liouville classification of integrable geodesic flows in a potential field on two-dimensional manifolds of revolution: the torus and the Klein bottle. (English. Russian original) Zbl 1408.37097

Sb. Math. 209, No. 11, 1644-1676 (2018); translation from Mat. Sb. 209, No. 11, 103-136 (2018).
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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).
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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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