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Grazing bifurcation and chaotic oscillations of vibro-impact systems with one degree of freedom. / Kryzhevich, S. G.

In: Journal of Applied Mathematics and Mechanics, Vol. 72, No. 4, 14.10.2008, p. 383-390.

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

Harvard

Kryzhevich, SG 2008, 'Grazing bifurcation and chaotic oscillations of vibro-impact systems with one degree of freedom', Journal of Applied Mathematics and Mechanics, vol. 72, no. 4, pp. 383-390. https://doi.org/10.1016/j.jappmathmech.2008.08.015

APA

Kryzhevich, S. G. (2008). Grazing bifurcation and chaotic oscillations of vibro-impact systems with one degree of freedom. Journal of Applied Mathematics and Mechanics, 72(4), 383-390. https://doi.org/10.1016/j.jappmathmech.2008.08.015

Vancouver

Kryzhevich SG. Grazing bifurcation and chaotic oscillations of vibro-impact systems with one degree of freedom. Journal of Applied Mathematics and Mechanics. 2008 Oct 14;72(4):383-390. https://doi.org/10.1016/j.jappmathmech.2008.08.015

Author

Kryzhevich, S. G. / Grazing bifurcation and chaotic oscillations of vibro-impact systems with one degree of freedom. In: Journal of Applied Mathematics and Mechanics. 2008 ; Vol. 72, No. 4. pp. 383-390.

BibTeX

@article{79320f6b618f4d458f53c040c04f8121,
title = "Grazing bifurcation and chaotic oscillations of vibro-impact systems with one degree of freedom",
abstract = "The bifurcations of dynamical systems, described by a second-order differential equation with periodic coefficients and an impact condition, are investigated. It is shown that a continuous change in the coefficients of the system, during which the number of impacts of the periodic solution increases, leads to the occurrence of a chaotic invariant set.",
author = "Kryzhevich, {S. G.}",
year = "2008",
month = oct,
day = "14",
doi = "10.1016/j.jappmathmech.2008.08.015",
language = "English",
volume = "72",
pages = "383--390",
journal = "Journal of Applied Mathematics and Mechanics",
issn = "0021-8928",
publisher = "Elsevier",
number = "4",

}

RIS

TY - JOUR

T1 - Grazing bifurcation and chaotic oscillations of vibro-impact systems with one degree of freedom

AU - Kryzhevich, S. G.

PY - 2008/10/14

Y1 - 2008/10/14

N2 - The bifurcations of dynamical systems, described by a second-order differential equation with periodic coefficients and an impact condition, are investigated. It is shown that a continuous change in the coefficients of the system, during which the number of impacts of the periodic solution increases, leads to the occurrence of a chaotic invariant set.

AB - The bifurcations of dynamical systems, described by a second-order differential equation with periodic coefficients and an impact condition, are investigated. It is shown that a continuous change in the coefficients of the system, during which the number of impacts of the periodic solution increases, leads to the occurrence of a chaotic invariant set.

UR - http://www.scopus.com/inward/record.url?scp=54249113248&partnerID=8YFLogxK

U2 - 10.1016/j.jappmathmech.2008.08.015

DO - 10.1016/j.jappmathmech.2008.08.015

M3 - Article

AN - SCOPUS:54249113248

VL - 72

SP - 383

EP - 390

JO - Journal of Applied Mathematics and Mechanics

JF - Journal of Applied Mathematics and Mechanics

SN - 0021-8928

IS - 4

ER -

ID: 36994705