Hybrid synchronization in unified chaotic systems with unknown parameters

作者：Liu Hong Juan; Li Ya Ling; Yu Hai; Zhu Zhi Liang^*

来源：Journal of Northeastern University, 2011, 32(10): 1394-1397.

• Hybrid synchronization
• Lyapunov
• Parameter update law
• Unified chaotic systems
• Unknown parameters

A new type of hybrid synchronization was studied, in which some of the states are in-phase synchronous and the others are anti-phase synchronous. The hybrid synchronization in the unified chaotic systems with unknown parameters was mainly studied. A simple unidirectional linear controller and a parameter update law were designed to realize the hybrid synchronization between two unified chaotic systems with unknown parameters. Based on Lyapunov stability theory, a sufficient condition for hybrid synchronization was obtained analytically. When two different values of the parameter in the unified chaotic system were selected, numerical simulation results showed that the proposed controller can realize the coexistence of in-phase synchronization and anti-phase synchronization. The controller can be extended to some similar chaotic systems or hyperchaotic systems and has great value in real applications.

• 出版日期2011
• 单位东北大学