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

Research output: Contribution to journal › Article › peer-review

Department of Mathematical Physics

DOI

https://doi.org/10.1016/j.jappmathmech.2010.11.004
Final published version

S. G. Kryzhevich

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.

Original language	English
Pages (from-to)	536-552
Number of pages	17
Journal	Journal of Applied Mathematics and Mechanics
Volume	74
Issue number	5
DOIs	https://doi.org/10.1016/j.jappmathmech.2010.11.004
State	Published - 16 Dec 2010

Scopus subject areas

Mechanical Engineering
Mechanics of Materials
Applied Mathematics
Modelling and Simulation

ID: 36994654