Dissipative soliton excitability induced by spatial inhomogeneities and drift

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.

arXiv comment5 pages, 7 figures

References in corpus (5)

• Excitability mediated by localized structures
• Dynamical instabilities of dissipative solitons in nonlinear optical cavities with nonlocal materials
• Phase-space structure of two-dimensional excitable localized structures
• Logical operations with Localized Structures
• Effects of a localized beam on the dynamics of excitable cavity solitons

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• Delay-Induced Depinning of Localized Structures in a spatially inhomogeneous Swift-Hohenberg Model
• Dynamics of temporal Kerr cavity solitons in the presence of rapid parameter inhomogeneities: from bichromatic driving to third-order dispersion
• Neuron-like spiking dynamics in the asymmetrically-driven dissipative photonic Bose-Hubbard dimer
• Front interaction induces excitable behavior