Synchronization of chaotic attractors with different equilibrium points

Abstract

This paper investigates the synchronization of coupled chaotic systems with many equilibrium points. By addition of an external switching piecewise-constant controller, the system changes to a new one with several independent chaotic attractors in the state space. Then, by addition of a nonlinear state feedback control, the chaos synchronization is presented. This method can be used in many couples of chaotic systems characterized by the same equilibrium point or by two different equilibrium points, even they are the same systems (Lorenz, Jerk, Van der Pol) or two chaotic systems with different structures (Lorenz modified).

Keywords:

• anticontrol of chaos
• independent periodic attractors
• switching piecewise-constant controller
• synchronization
• paraboloid

2010 AMS Subject Classifications:

• 65P40
• 74H65
• 93C10
• 93C15