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Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
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ISSN 0021-8928
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IssuesArchive of Issues2010-5pp.536-552

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S.G. Kryzhevich, "Chaotic modes of systems described by the Liénard equations with a large period of the right-hand side and impact conditions," J. Appl. Math. Mech. 74 (5), 536-552 (2010)
Year 2010 Volume 74 Issue 5 Pages 536-552
Title Chaotic modes of systems described by the Liénard equations with a large period of the right-hand side and impact conditions
Author(s) S.G. Kryzhevich (St Petersburg, Russia, kryzhevich@rambler.ru)
Abstract A mechanical system with impacts is investigated. It consists of a particle moving along a straight line and an absolutely elastic limiter. It is assumed that the motion is described by the Liénard equation in the intervals between impacts. Coefficient criteria for the existence of a chaotic invariant set, described by "symbolic dynamics", are derived for the system considered.
Received 15 December 2009
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