论文标题
强迫对称性破坏是耗散非线性动力学中流氓爆发的机制
Forced symmetry breaking as a mechanism for rogue bursts in a dissipative nonlinear dynamical lattice
论文作者
论文摘要
我们提出了在非保守的非线性晶格动力学系统中形成流氓波的标准机制的替代方法。我们考虑了一个ode系统，该系统具有由强迫对称性破坏引起的常规周期性爆发。然后，我们通过扩散的晶格耦合将这种潜在的爆炸单元连接起来，并研究所得的时空动力学，以针对不同类型的初始条件（局部或扩展）进行。我们发现，在这两种情况下，特定的振荡器都经历了非常快速和大的振幅游览，类似于流氓波浪爆发。此外，不同振幅的概率分布表现出双峰性，峰值在消失和幅度很大。尽管这种现象学是在一系列耦合强度的范围内产生的，但对于系统的较大值，该现象学最终同步并抑制了上述现象学。我们使用分布式（例如同步顺序参数）和单个振荡器诊断来监视动力学并确定大幅度偏移的潜在前体。我们还使用幅度依赖性扩散耦合检查了相似的行为。
We propose an alternative to the standard mechanisms for the formation of rogue waves in a non-conservative, nonlinear lattice dynamical system. We consider an ODE system that features regular periodic bursting arising from forced symmetry breaking. We then connect such potentially exploding units via a diffusive lattice coupling and investigate the resulting spatio-temporal dynamics for different types of initial conditions (localized or extended). We find that in both cases, particular oscillators undergo extremely fast and large amplitude excursions, resembling a rogue wave burst. Furthermore, the probability distribution of different amplitudes exhibits bimodality, with peaks at both vanishing and very large amplitude. While this phenomenology arises over a range of coupling strengths, for large values thereof the system eventually synchronizes and the above phenomenology is suppressed. We use both distributed (such as a synchronization order parameter) and individual oscillator diagnostics to monitor the dynamics and identify potential precursors to large amplitude excursions. We also examine similar behavior with amplitude-dependent diffusive coupling.
