Patterns and Stability of Coupled Multi-Stable Nonlinear Oscillators.
Patterns and Stability of Coupled Multi-Stable Nonlinear Oscillators.
复制标题
耦合多稳态非线性振荡器的模式和稳定性。
DOI：
10.1016/j.chaos.2022.112999
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发表时间：
2023
期刊：
影响因子：
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通讯作者：
Rasmussen,KØ
中科院分区：
文献类型：
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作者：
Bel,G;Alexandrov,BS;Bishop,AR;Rasmussen,KØ
非线性孤立振子和耦合振子作为典型的非线性动力学模型得到了广泛的研究。振荡器同步或缺乏振荡器同步已经引起了很多关注。本文研究了耦合驱动阻尼Helmholtz-Duffing振子在双稳定区域的同步和稳定性。我们发现，尽管事实上，系统参数和驱动力是相同的，这两个国家的稳定性空间非均匀扰动是非常不同的。此外，由这些空间扰动产生的最终稳定状态不仅由扰动模式的波长决定，并且在耦合振荡器相位方面采取不同的空间配置。
Nonlinear isolated and coupled oscillators are extensively studied as prototypical nonlinear dynamics models. Much attention has been devoted to oscillator synchronization or the lack thereof. Here, we study the synchronization and stability of coupled driven-damped Helmholtz–Duffing oscillators in bi-stability regimes. We find that despite the fact that the system parameters and the driving force are identical, the stability of the two states to spatially non-uniform perturbations is very different. Moreover, the final stable states, resulting from these spatial perturbations, are not solely dictated by the wavelength of the perturbing mode and take different spatial configurations in terms of the coupled oscillator phases.