Master-slave synchronization in the Duffing-van der Pol and Φ6 Duffing oscillators

IF 1.4 4区工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY

International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2023-03-28 DOI:10.1515/ijnsns-2022-0465

U. Uriostegui-Legorreta, E. Tututi

引用次数: 2

Abstract

Abstract In this work a master-slave configuration to obtain synchronization between the double-well Duffing-van der Pol (master system) and the three-well Φ6 Duffing oscillators (slave system) is studied. For this configuration, we analyze the system when the dissipative and one that combines the elastic and dissipative couplings are used. Whenever the dissipative coupling is used, we observed a vertical shift synchronization in the slave system. However, when the combination of the elastic and dissipative couplings is used, the vertical shift disappears obtaining complete synchronization. We resort to perturbation method to corroborate analytically these kind of synchronization, when the master system provides an harmonic function to the slave system. These synchronizations are numerically corroborated.

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Duffing-van der Pol和Φ6 Duffing振荡器的主从同步

本文研究了双阱Duffing-van - der - Pol(主系统)和三阱Φ6 Duffing振荡器(从系统)之间实现同步的主从配置。对于这种结构，我们分析了使用耗散耦合和结合弹性和耗散耦合的系统。当使用耗散耦合时，我们观察到从系统中的垂直位移同步。然而，当使用弹性耦合和耗散耦合的组合时，垂直位移消失，获得完全同步。当主系统对从系统提供一个调和函数时，我们采用摄动法对这种同步进行解析确证。这些同步得到了数值上的证实。

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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来源期刊

International Journal of Nonlinear Sciences and Numerical Simulation 工程技术-工程：综合

CiteScore

2.80

自引率

6.70%

发文量

117

审稿时长

13.7 months

期刊介绍： The International Journal of Nonlinear Sciences and Numerical Simulation publishes original papers on all subjects relevant to nonlinear sciences and numerical simulation. The journal is directed at Researchers in Nonlinear Sciences, Engineers, and Computational Scientists, Economists, and others, who either study the nature of nonlinear problems or conduct numerical simulations of nonlinear problems.