Hybrid synchronization of high-dimensional chaos with self-excited attractors

Abstract

The phenomena of Hybrid Synchronization (HS)-based has widely been utilized to provide higher security and privacy in the field of secure communication by integrating the nonlinear control strategy with the Lyapunov stability theory. To address the dynamic information resulted from sending picture and messages, this paper present another approach which called a Linearization technique to replace traditional Lyapunov stability theory. The Linearization approach can achieve convergence according to the hybrid synchronization attitude. The proposed method is verified using two non-identical 6-D hyperchaotic systems with a self-excited attractor. Experimental results indicate that the proposed tool can significant improvement in results precision under the conditions of hybrid synchronization and specific Lyapunov function unavailability. Numerical simulations are carried out by using MATLAB to validate the effectiveness of the analytical technique.