Periodic orbits in Hyperchaotic Chen systems

Abstract

In this work, we show a zero-Hopf bifurcation in a Hyperchaotic Chen system. Using averaging theory, we prove the existence of two periodic orbits bifurcating from the zero-Hopf equilibria located at the origin of the Hyperchaotic Chen system.

This research was supported by grant MTM2011-22877 from MICINN, and by grant 2014 SGR 1204 from CIRIT