A. V. Borisov, A. A. Kilin, I. S. Mamaev, “Hamiltonian representation and integrability of the Suslov problem”, Nelin. Dinam., 6:1 (2010), 127

Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

	General information
	Latest issue
	Archive
	Impact factor

	Search papers
	Search references

	RSS
	Latest issue
	Current issues
	Archive issues
	What is RSS

Rus. J. Nonlin. Dyn.:
Year:
Volume:
Issue:
Page:
	Find

Personal entry:
Login:
Password:
	Save password
	Enter
	Forgotten password?
	Register

Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2010, Volume 6, Number 1, Pages 127–142 (Mi nd60)

This article is cited in 7 scientific papers (total in 7 papers)

Hamiltonian representation and integrability of the Suslov problem

A. V. Borisov, A. A. Kilin, I. S. Mamaev

Institute of Computer Science

Full-text PDF (654 kB) Citations (7)

References:

PDF

HTML

Abstract: We consider the problems of Hamiltonian representation and integrability of the nonholonomic Suslov system and its generalization suggested by S. A. Chaplygin. These aspects are very important for understanding the dynamics and qualitative analysis of the system. In particular, they are related to the nontrivial asymptotic behaviour (i.e. to some scattering problem). The paper presents a general approach based on the study of the hierarchy of dynamical behaviour of nonholonomic systems.

Keywords: Hamiltonian system, Poisson bracket, nonholonomic constraint, invariant measure, integrability.

Received: 11.11.2009

Document Type: Article

UDC: 531.38

MSC: 34D20, 70E40, 37J35

Language: Russian

Citation: A. V. Borisov, A. A. Kilin, I. S. Mamaev, “Hamiltonian representation and integrability of the Suslov problem”, Nelin. Dinam., 6:1 (2010), 127–142

Citation in format AMSBIB

\Bibitem{BorKilMam10}

\by A.~V.~Borisov, A.~A.~Kilin, I.~S.~Mamaev

\paper Hamiltonian representation and integrability of the Suslov problem

\jour Nelin. Dinam.

\yr 2010

\vol 6

\issue 1

\pages 127--142

\mathnet{http://mi.mathnet.ru/nd60}

Linking options:

https://www.mathnet.ru/eng/nd60

https://www.mathnet.ru/eng/nd/v6/i1/p127

This publication is cited in the following 7 articles:

Kozlov V., “The Phenomenon of Reversal in the Euler-Poincaré,-Suslov Nonholonomic Systems”, J. Dyn. Control Syst., 22:4 (2016), 713–724
Rozenblat G.M., “On the Choice of Physically Realizable Parameters When Studying the Dynamics of Spherical and Ellipsoidal Rigid Bodies”, Mech. Sol., 51:4 (2016), 415–423
I. A. Bizyaev, V. V. Kozlov, “Homogeneous systems with quadratic integrals, Lie-Poisson quasibrackets, and Kovalevskaya's method”, Sb. Math., 206:12 (2015), 1682–1706
I. A. Bizyaev, A. V. Bolsinov, A. V. Borisov, I. S. Mamaev, “Topologiya i bifurkatsii v negolonomnoi mekhanike”, Nelineinaya dinam., 11:4 (2015), 735–762
A. Yu. Konyaev, “Classification of Lie algebras with generic orbits of dimension 2 in the coadjoint representation”, Sb. Math., 205:1 (2014), 45–62
A. V. Borisov, I. S. Mamaev, A. V. Tsiganov, “On the Nonlinear Poisson Bracket Arising in Nonholonomic Mechanics”, Math. Notes, 95:3 (2014), 308–315
I. A. Bizyaev, A. V. Borisov, I. S. Mamaev, “Dinamika negolonomnykh sistem, sostoyaschikh iz sfericheskoi obolochki s podvizhnym tverdym telom vnutri”, Nelineinaya dinam., 9:3 (2013), 547–566

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Statistics & downloads:
Abstract page:	385
Full-text PDF :	152
References:	89
First page:	1

Registration to the website

Logotypes