Simplified method and synchronization for a class of complex chaotic systems

Abstract

This paper is devoted to investigate a class of complex chaotic systems and a linear correlation between the real and imaginary component of complex variables in these systems is found. Based on this linear relationship, a simplified law is proposed. First, complex Lorenz system is given to show the linear correlation, then it is simplified. Second, a simplified law is proposed to determine whether the complex system can be simplified, and the complex Lü system and hyperchaotic complex Lü system are used to verify the simplified law.Finally, a new synchronization control is proposed to synchronize complex Lorenz system and real Lorenz system. The theoretical analysis and numerical simulation prove the feasibility and better performance of this method.

Matrix projective synchronization and mechanical analysis of unified chaotic system

“…Infinitely many coexisting conservative flows in a 4D conservative system was studied by Wang et al [6]. A class of complex chaotic systems have been examined by Huang et al [7]. Further, Park et al [8] studied the adaptive synchronization of a unified chaotic system in the presence of external disturbances.…”

“…examined by Huang et al [7]. Further, Park et al [8] studied the adaptive H ∞ synchronization of a unified chaotic system in the presence of external disturbances.…”