Combination Synchronization of Three Identical or Different Nonlinear Complex Hyperchaotic Systems

Abstract

In this paper, we investigate the combination synchronization of three nonlinear complex hyperchaotic systems: the complex hyperchaotic Lorenz system, the complex hyperchaotic Chen system and the complex hyperchaotic L¨u system. Based on the Lyapunov stability theory, corresponding controllers to achieve combination synchronization among three identical or different nonlinear complex hyperchaotic systems are derived, respectively. Numerical simulations are presented to demonstrate the validity and feasibility of the theoretical analysis.

Keywords

• combination synchronization
• Lyapunov stability theory
• complex hyperchaotic Lorenz system
• complex hyperchaotic Chen system
• complex hyperchaotic L¨u system