Smale Horseshoe and Grazing Bifurcation in Impact Systems
Dynamical Systems
2011-06-23 v1
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.
Keywords
Cite
@article{arxiv.1106.4344,
title = {Smale Horseshoe and Grazing Bifurcation in Impact Systems},
author = {Sergey Kryzhevich},
journal= {arXiv preprint arXiv:1106.4344},
year = {2011}
}
Comments
Submitted to Journal of Mathematical Analysis and Applications