Adaptive synchronization to a general non-autonomous chaotic system and its applications

作者：Ye Zhiyong^*; Deng Cunbing

来源：Nonlinear Analysis: Real World Applications , 2012, 13(2): 840-849.

DOI：10.1016/j.nonrwa.2011.08.020

• Chaotic synchronization
• Lyapunov function
• Non-autonomous chaotic system
• Adaptive control
• Duffing oscillator

In this paper, new adaptive synchronous criteria for a general class of n-dimensional non-autonomous chaotic systems with linear and nonlinear feedback controllers are derived. By suitable separation between linear and nonlinear terms of the chaotic system, the phenomenon of stable chaotic synchronization can be achieved using an appropriate adaptive controller of feedback signals. This method can also be generalized to a form for chaotic synchronization or hyper-chaotic synchronization. Based on stability theory on non-autonomous chaotic systems, some simple yet less conservative criteria for global asymptotic synchronization of the autonomous and non-autonomous chaotic systems are derived analytically. Furthermore, the results are applied to some typical chaotic systems such as the Duffing oscillators and the unified chaotic systems, and the numerical simulations are given to verify and also visualize the theoretical results.

• 出版日期2012-4
• 单位重庆理工大学