A New Type of Combination Synchronization among Multiple Chaotic Systems

Abstract EN

Based on former combination synchronization studies, a new type of combination synchronization approach is developed in this research, with the consideration of parallel combination of drive systems.

This new synchronization approach is referred to as combination synchronization-II.

As a representative case, the combination synchronization-II between three drive systems and one response system is studied.

Applying Lyapunov stability theorem and active backstepping design, sufficient conditions for the proposed combination synchronization approach are derived.

Numerical simulations are performed to show the feasibility and effectiveness of the proposed approach.

Based on the investigation in this research, the proposed approach provides an applicable method for designing universal combination synchronization among multiple chaotic systems.