TY - JOUR

T1 - Chaotic Dynamics and Bifurcations in Impact Systems

AU - Kryzhevich, Sergey

PY - 2012

Y1 - 2012

N2 - 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.

AB - 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.

KW - impacts

KW - grazing

KW - chaos

KW - hyperbolicity

KW - homoclinic points

M3 - Article

VL - 1

SP - 15

EP - 37

JO - International Journal of Energy Optimization and Engineering

JF - International Journal of Energy Optimization and Engineering

SN - 2160-9500

IS - 4

ER -