Generating a New Hyperchaotic Pan System Via State Feedback Control

Abstract

This paper proposes a new four-dimensional continuous autonomous hyperchaotic system based on the 3D Pan system by introducing a nonlinear state feedback controller. Dynamical behaviors of the new system are analyzed, both theoretically and numerically, including equilibrium points, Lyapunov exponents spectrum stability and bifurcation , finally, an illustrative example is given.