Abstract
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.
Highlights
We show that excitability is generic in systems displaying dissipative solitons when spatial inhomogeneities and drift are present
Extended systems display a large variety of emergent behaviors [1], including coherent structures
Interesting is the case of dissipative solitons (DS) [2], exponentially localized structures in dissipative systems driven out of equilibrium, as they can behave like discrete objects in continuous systems
Summary
We show that excitability is generic in systems displaying dissipative solitons when spatial inhomogeneities and drift are present. In this work we present a mechanism that generically induces dynamical regimes, such as oscillations and excitable behavior, in which the structure of the DS is preserved.
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