Smale Horseshoe and Grazing Bifurcation in Impact Systems
classification
🧮 math.DS
keywords
impactsystemsbifurcationbifurcationschaoticconditiondescribeddifferential
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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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