Utilizing Symmetries in Chaotic Synchronization

摘要

This paper focuses on designing the flexible controller to generate different synchronization patterns. The relation between the symmetry of chaotic systems and synchronization pattern are studied. Three examples, the Nadolschi system, the fractional hyperchaotic Chen system, and the fractional delayed Duffing oscillator, are utilized to illustrate the proposed method. Computer simulations verify the theoretic analysis.