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A New Complex Hyper-chaotic System and Chaotic Synchronization of Error Feedback with Disturbance

机译:一个新的复杂超混沌系统和带扰动的误差反馈的混沌同步

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In this paper, a new complex hyper-chaotic system is proposed. Through the separation of real and imaginary parts, the basic dynamics such as symmetry, dissipation, equilibrium stability, Lyapunov exponent spectrum and power spectrum are studied. Then, according to the Lyapunov stability theory, using the error feedback synchronization method, we design a complex feedback controller to realize the chaotic synchronization of the proposed chaotic system with both parameters and external disturbances. Theoretical analysis shows that the controller can make the synchronization error gradually towards zero point. In addition, the numerical simulation of the complex chaotic synchronization system is carried out. The simulation results further verify the effectiveness of the proposed method.
机译:本文提出了一种新的复杂超混沌系统。通过分离实部和虚部,研究了对称性,耗散性,平衡稳定性,李雅普诺夫指数谱和功率谱等基本动力学。然后,根据李雅普诺夫稳定性理论,采用误差反馈同步方法,设计了一个复杂的反馈控制器,以实现所提出的同时具有参数和外部干扰的混沌系统的混沌同步。理论分析表明,控制器可使同步误差逐渐趋向零点。另外,对复杂混沌同步系统进行了数值模拟。仿真结果进一步验证了该方法的有效性。

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