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Chaotic bursting lag synchronization of Hindmarsh-Rose system via a single controller

机译:通过单个控制器实现Hindmarsh-Rose系统的混沌突发延迟同步

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摘要

Chaotic bursting lag synchronization of Hindmarsh-Rose system is investigated. Two lag synchronization schemes with only a single controller are proposed to synchronize Hindmarsh-Rose chaotic system via back stepping method. Especially in the second scheme, only one state variable is contained in the controller. Based on Lyapunov stability theory, the sufficient conditions for synchronization are obtained analytically in both cases. Finally, numerical simulations are provided to show the effectiveness of the developed methods.
机译:研究了Hindmarsh-Rose系统的混沌突发延迟同步。提出了两种仅具有单个控制器的滞后同步方案,以通过后步方法使Hindmarsh-Rose混沌系统同步。特别是在第二种方案中,控制器中仅包含一个状态变量。基于李雅普诺夫稳定性理论,在两种情况下都获得了足够的同步条件。最后,提供了数值模拟以显示所开发方法的有效性。

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