Impulsive control and Hopf bifurcation of a three-dimensional chaotic system

摘要

The issue of impulsive stabilization and Hopf bifurcation of a new three-dimensional chaotic system is investigated. This paper derives some sufficient conditions for the stabilization of the system via impulsive control with varying impulsive intervals. By choosing an appropriate bifurcation parameter, we prove that a chaotic system undergoes Hopf bifurcation under certain conditions. Some numerical examples are given to support the analytic results.