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arXiv · 1106.4344

Smale Horseshoe and Grazing Bifurcation in Impact Systems

Sergey Kryzhevich
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Abstract

Bifurcations of dynamical systems, described by a 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.

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Sergey Kryzhevich. 2011-06-21. Smale Horseshoe and Grazing Bifurcation in Impact Systems. https://arxiv.org/abs/1106.4344

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