Phase dynamics of two coupled oscillators under external periodic force

Phase dynamics of two coupled oscillators under external periodic force
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外部周期力作用下两个耦合振荡器的相位动力学

DOI：
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发表时间：
2009
期刊：
影响因子：
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通讯作者：
T. Vadivasova
T. Vadivasova
中科院分区：
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文献类型：
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作者：
V. Anishchenko;S. Astakhov;T. Vadivasova

文献摘要

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研究了两个耦合货车der Pol振子在简谐外力作用下的同步效应。分析是采用阶段法进行的。建立了完全同步和部分同步机制。本文所描述的分歧的主要类型是鞍结分歧的不变曲线，对应于鞍结分歧的二维环面的完整系统的微分方程的动力系统的研究。
The effect of synchronization has been studied in a system of two coupled Van der Pol oscillators under external harmonic force. The analysis has been carried out using the phase approach. The mechanisms of complete and partial synchronization have been established. The main type of bifurcation described in this paper is the saddle-node bifurcation of invariant curves that corresponds to the saddle-node bifurcation of two-dimensional tori in the complete system of differential equations for the dynamical system under study.