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Chaotic modes of systems described by the Liénard equations with a large period of the right-hand side and impact conditions

✍ Scribed by S.G. Kryzhevich

Publisher: Elsevier Science
Year: 2010
Tongue: English
Weight: 667 KB
Volume: 74
Category: Article
ISSN: 0021-8928
DOI: 10.1016/j.jappmathmech.2010.11.004

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✦ Synopsis

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.

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