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Effect of External Force on the Dynamics of Nonlinearly Coupled Self Excited Oscillators

机译:外力对非线性耦合自激振荡器动态的影响

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This work deals with effect of external force on the dynamics of mutually coupled self-excited oscillators. Self-excited oscillators with linear and non-linear coupling are considered. The phase-amplitude equations or Adler equations are obtained analytically in both cases with Krylov and Bogoliubov method of averaging and these equations are used to analyze the effect of external force on their synchronization dynamics. Computational results are obtained by numerical integrations to validate the analytical results. For linearly coupled oscillators, the effect of external force on synchronization are studied. For nonlinear coupling, it's shown that in-phase synchronization is not possible even if the coupling values are varied. Such a system is brought into synchronization with effect of external force. Also, for both cases, non-synchronized cases are brought into synchronization with the aid of external force. This work shows that, even small amplitude of external disturbances, can produce considerable effect on the synchronization dynamics of coupled systems and thus should be given due importance in practical scenarios
机译:这项工作涉及外力对相互耦合自激振荡器动态的影响。考虑具有线性和非线性耦合的自激振荡器。在krylov和Bogoliubov方法的两种情况下分析地获得相位幅度方程或adler等式,并且这些方程用于分析外力对其同步动态的影响。计算结果是通过数值集成获得的,以验证分析结果。对于线性耦合振荡器,研究了外力对同步的影响。对于非线性耦合,表明即使耦合值改变也不可能实现相位同步。这种系统与外力的效果同步。此外,对于这两种情况,不同步情况借助外力进入同步。这项工作表明,即使是外部干扰的小幅度,也可以对耦合系统的同步动态产生相当大的影响,因此应该在实际情况下进行重要性

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