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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. / Kryzhevich, S. G.

In: Journal of Applied Mathematics and Mechanics, Vol. 74, No. 5, 16.12.2010, p. 536-552.

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

Harvard

Kryzhevich, SG 2010, 'Chaotic modes of systems described by the Liénard equations with a large period of the right-hand side and impact conditions', Journal of Applied Mathematics and Mechanics, vol. 74, no. 5, pp. 536-552. https://doi.org/10.1016/j.jappmathmech.2010.11.004

APA

Kryzhevich, S. G. (2010). Chaotic modes of systems described by the Liénard equations with a large period of the right-hand side and impact conditions. Journal of Applied Mathematics and Mechanics, 74(5), 536-552. https://doi.org/10.1016/j.jappmathmech.2010.11.004

Vancouver

Kryzhevich SG. Chaotic modes of systems described by the Liénard equations with a large period of the right-hand side and impact conditions. Journal of Applied Mathematics and Mechanics. 2010 Dec 16;74(5):536-552. https://doi.org/10.1016/j.jappmathmech.2010.11.004

Author

Kryzhevich, S. G. / Chaotic modes of systems described by the Liénard equations with a large period of the right-hand side and impact conditions. In: Journal of Applied Mathematics and Mechanics. 2010 ; Vol. 74, No. 5. pp. 536-552.

BibTeX

@article{a947e28c238b4cf28dbaf7495ad998c6,
title = "Chaotic modes of systems described by the Li{\'e}nard equations with a large period of the right-hand side and impact conditions",
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 Li{\'e}nard 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.",
author = "Kryzhevich, {S. G.}",
year = "2010",
month = dec,
day = "16",
doi = "10.1016/j.jappmathmech.2010.11.004",
language = "English",
volume = "74",
pages = "536--552",
journal = "Journal of Applied Mathematics and Mechanics",
issn = "0021-8928",
publisher = "Elsevier",
number = "5",

}

RIS

TY - JOUR

T1 - Chaotic modes of systems described by the Liénard equations with a large period of the right-hand side and impact conditions

AU - Kryzhevich, S. G.

PY - 2010/12/16

Y1 - 2010/12/16

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=78651334775&partnerID=8YFLogxK

U2 - 10.1016/j.jappmathmech.2010.11.004

DO - 10.1016/j.jappmathmech.2010.11.004

M3 - Article

AN - SCOPUS:78651334775

VL - 74

SP - 536

EP - 552

JO - Journal of Applied Mathematics and Mechanics

JF - Journal of Applied Mathematics and Mechanics

SN - 0021-8928

IS - 5

ER -

ID: 36994654