Amplitude Death：耦合非线性系统平稳性的出现
Amplitude Death: The emergence of stationarity in coupled nonlinear systems
摘要：
当非线性动力系统耦合时，根据内在动力学和耦合的组织方式，可能会出现许多新现象。在这种情况下，一个重要的涌现现象是完全抑制振荡，正式称为振幅死亡（AD）。由于相互作用，整个系统的振荡停止，导致稳定的行为。耦合稳定的不动点可以是非耦合系统的不稳定不动点，也可以对应于新的不动点。这种行为在从激光物理到生物系统动力学的各个领域都具有相关性。在这篇综述中，我们讨论了不同的耦合策略和方案，导致AD在各种不同的情况下的特点，并提请注意几个开放的问题和挑战性的问题，进一步研究。
英文摘要：
When nonlinear dynamical systems are coupled, depending on the intrinsic dynamics and the manner in which the coupling is organized, a host of novel phenomena can arise. In this context, an important emergent phenomenon is the complete suppression of oscillations, formally termed amplitude death (AD). Oscillations of the entire system cease as a consequence of the interaction, leading to stationary behavior. The fixed points that the coupling stabilizes can be the otherwise unstable fixed points of the uncoupled system or can correspond to novel stationary points. Such behaviour is of relevance in areas ranging from laser physics to the dynamics of biological systems. In this review we discuss the characteristics of the different coupling strategies and scenarios that lead to AD in a variety of different situations, and draw attention to several open issues and challenging problems for further study.
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