Smale Horseshoe and Grazing Bifurcation in Impact Systems

Details Smale Horseshoe and Grazing Bifurcation in Impact Systems Smale Horseshoe and Grazing Bifurcation in Impact Systems

2011-06-21

arxiv.org/abs/1106.4344v1

Mathematics

Dynamical Systems

Submitted to Journal of Mathematical Analysis and Applications

Scientific paper

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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