Chaotic Dynamics and Bifurcations in Impact Systems

Sergey Kryzhevich
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Sergey Kryzhevich: Mathematics and Mechanics Faculty, Chebyshev Laboratory, Saint-Petersburg State University, Saint-Petersburg, Russia

International Journal of Energy Optimization and Engineering (IJEOE), 2012, vol. 1, issue 4, 15-37

Abstract: Bifurcations of dynamical systems described byseveral second order differential equations and by an impact condition are studied. It is shown that the variation of parameters when the number of impacts of a periodic solution increases, leads to the occurrence of a hyperbolic chaotic invariant set.

Date: 2012
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