Synchronization of multi-directional multi-scroll chaos generators: A Hamiltonian approach

E. Zambrano-Serrano, J. Muñoz-Pacheco, O. Félix-Beltrán, R. Trejo-Guerra, L. C. Gómez-Pavón, E. Tlelo-Cuautle, C. Sánchez-López, A. Luis-Ramos
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引用次数: 7

Abstract

In this paper, a chaotic synchronization scheme for multi-directional multi-scroll chaos generators is presented. We use Generalized Hamiltonian forms approach to determine the synchronization conditions for two unidirectionally coupled multi-directional multi-scroll chaotic attractors. First, two state-variables of the master system are used to control the two nonlinear functions in the slave system and consequently, reach the synchronization of two 2D-4-scroll chaotic systems. Similarly, the synchronization of two 3D-4-scroll chaotic systems is achieved by using all three state-variables in order to control the three nonlinear functions for the slave system. Finally, theoretical calculations are in good agreement with numerical simulations and a prediction on the values for observer gain is also given.
多向多涡旋混沌发生器的同步:哈密顿方法
提出了一种用于多方向多涡旋混沌发生器的混沌同步方案。利用广义哈密顿形式方法确定了两个单向耦合多向多涡旋混沌吸引子的同步条件。首先,利用主系统的两个状态变量来控制从系统中的两个非线性函数,从而实现两个2d -4涡旋混沌系统的同步。同样,两个3d -4-涡旋混沌系统的同步是通过使用所有三个状态变量来控制从系统的三个非线性函数来实现的。最后,理论计算与数值模拟结果吻合较好,并给出了观测器增益值的预测。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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