论文标题
耦合多稳定非线性振荡器的模式和稳定性
Patterns and Stability of Coupled Multi-Stable Nonlinear Oscillators
论文作者
论文摘要
非线性隔离和耦合振荡器被广泛研究为原型非线性动力学模型。已经大量关注振荡器同步或缺乏同步。在这里，我们研究了双稳定性方案中耦合驱动抑制的Helmholtz抑制振荡器的同步和稳定性。我们发现，尽管系统参数和驱动力是相同的，但两个状态在空间不均匀扰动上的稳定性却大不相同。此外，最终的稳定状态是由这些空间扰动产生的，不仅由扰动模式的波长决定，并根据耦合振荡器阶段采用不同的空间配置。
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.
