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

机译:通用非自治混沌系统的自适应同步及其应用

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摘要

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.
机译:本文针对具有线性和非线性反馈控制器的一类n维非自治混沌系统,提出了新的自适应同步准则。通过适当地分离混沌系统的线性项和非线性项,可以使用适当的反馈信号自适应控制器来实现稳定的混沌同步现象。该方法也可以泛化为用于混沌同步或超混沌同步的形式。基于非自治混沌系统的稳定性理论,通过解析推导了一些自治和非自治混沌系统全局渐近同步的简单但不太保守的判据。此外,将结果应用于一些典型的混沌系统,如Duffing振子和统一混沌系统,并进行了数值模拟,以验证和可视化理论结果。

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