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.

Keywords

• Periodic orbit
• zero-Hopf bifurcation averaging theory
• hyperchaotic Chen system