空间不均匀性和漂移诱导的耗散孤子激发
Dissipative soliton excitability induced by spatial inhomogeneities and drift
摘要：
我们发现，在空间不均匀性和漂移时，系统中显示耗散孤子的兴奋性是通用的。因此，当向系统添加不均匀性和漂移时，不具有振荡状态的系统（例如原型Swift-Hohenberg方程）中的耗散孤立子会显示振荡以及I型和II型激发性。这种丰富的动力学行为源于对不均匀性的钉扎和漂移的拉动之间的相互作用。这里提出的方案提供了一个一般的理论理解的半导体微谐振器中的耗散孤子的振荡制度。我们的研究结果也打开了在各种物理系统中观察这种现象的可能性。
英文摘要：
We show that excitability is generic in systems displaying dissipative solitons when spatial inhomogeneities and drift are present. Thus, dissipative solitons in systems which do not have oscillatory states, such as the prototypical Swift-Hohenberg equation, display oscillations and Type I and II excitability when adding inhomogeneities and drift to the system. This rich dynamical behavior arises from the interplay between the pinning to the inhomogeneity and the pulling of the drift. The scenario presented here provides a general theoretical understanding of oscillatory regimes of dissipative solitons reported in semiconductor microresonators. Our results open also the possibility to observe this phenomenon in a wide variety of physical systems.
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