Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
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IssuesArchive of Issues2008-4pp.383-390

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S.G. Kryzhevich, "Grazing bifurcation and chaotic oscillations of vibro-impact systems with one degree of freedom," J. Appl. Math. Mech. 72 (4), 383-390 (2008)
Year 2008 Volume 72 Issue 4 Pages 383-390
Title Grazing bifurcation and chaotic oscillations of vibro-impact systems with one degree of freedom
Author(s) S.G. Kryzhevich (St Petersburg, Russia, kryzhevich@hotmail.com)
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.
Received 29 January 2007
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