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Topological monodromy as an obstruction to Hamiltonization of nonholonomic systems: Pro or contra?

  • Published:2015-01 Issue: Volume:87 Page:61-75
  • ISSN:0393-0440
  • Container-title:Journal of Geometry and Physics
  • language:en
  • Short-container-title:Journal of Geometry and Physics

Author:

Bolsinov A.V.,Kilin A.A.,Kazakov A.O.

Funder

President of the Russian Federation for young Doctors of Science

RSF

Ministry of Education and Sciences of Russia

Publisher

Elsevier BV

Subject

Geometry and Topology,General Physics and Astronomy,Mathematical Physics

Reference34 articles.

1. Rolling of a rigid body on plane and sphere: Hierarchy of dynamics;Borisov;Regul. Chaotic Dyn.,2002

2. Conservation laws, hierarchy of dynamics and explicit integration of nonholonomic systems;Borisov;Regul. Chaotic Dyn.,2008

3. On a nonholonomic dynamical problem;Borisov;Mat. Zametki,2006

4. On the Routh sphere problem;Bizyaev;J. Phys. A,2013

5. Hamiltonicity and integrability of the Suslov problem;Borisov;Regul. Chaotic Dyn.,2011

Cited by 7 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Stability of Vertical Rotations of an Axisymmetric Ellipsoid on a Vibrating Plane;Mathematics;2023-09-17

2. Momentum map reduction for nonholonomic systems;Nonlinearity;2023-09-04

3. First Integrals and Symmetries of Nonholonomic Systems;Archive for Rational Mechanics and Analysis;2022-03-23

4. Conserved quantities and Hamiltonization of nonholonomic systems;Annales de l'Institut Henri Poincaré C, Analyse non linéaire;2021-02

5. Recent advances in the monodromy theory of integrable Hamiltonian systems;Indagationes Mathematicae;2021-02
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