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Effect of optimal uncoupling in enhancing synchronization stability in drive-response systems
EPL ( IF 1.8 ) Pub Date : 2020-11-03 , DOI: 10.1209/0295-5075/131/60003
B. D. Sharmila 1 , G. Sivaganesh 2 , A. Arulgnanam 3
Affiliation  

In this paper, we report the implementation of the method of optimal uncoupling and its effect in enhancing the stability of synchronization in certain coupled third-order chaotic systems. The clipping of phase space of the response system to a finite width having certain orientation about the coordinate axes representing the state variables of the response system insists that those state variables are coupled with their counterpart of the drive system. The stability of synchronization is studied through the master stability function (MSF). The optimal directions of implementing the clipping width to achieve stable synchronization is observed by studying the effectiveness of the clipping fraction and the sufficient range of orientation to identify the optimal directions is reported. The functional work steps for identifying the optimal directions are presented and the synchronization of the response system with the drive within the clipped region of phase space for different orientations of clipping width are studied. The stability of synchronization for different orientations of the clipping widths and the two-parameter bifurcation diagram indicating the negative valued MSF regions obtained for the optimal direction of clipping width are presented. The application of the method of optimal uncoupling in identifying the direction of the implication of the clipping width is discussed and the range of orientation over which the clipping width has to be varied is generalized.



中文翻译:

最佳解耦对增强驱动响应系统中同步稳定性的影响

在本文中,我们报告了最佳解耦方法的实现及其在增强某些耦合三阶混沌系统中同步稳定性方面的作用。将响应系统的相空间剪裁成具有一定宽度的有限宽度,该有限宽度围绕表示响应系统的状态变量的坐标轴具有一定的方向,这要求将这些状态变量与其驱动系统的对应变量耦合。通过主稳定性函数研究同步的稳定性(MSF)。通过研究削波分数的有效性,观察了实现削波宽度以实现稳定同步的最佳方向,并报告了确定最佳方向的足够的定向范围。介绍了用于识别最佳方向的功能性工作步骤,并研究了响应系统与驱动器在相空间剪切区域内针对剪切宽度不同方向的同步。呈现了针对剪裁宽度的不同方向的同步的稳定性,以及表示针对剪裁宽度的最佳方向获得的负值MSF区域的两参数分叉图。

更新日期:2020-11-03
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