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Excitability mediated by localized structures in a dissipative nonlinear optical cavity

AutorGomila, Damià ; Matías, Manuel A. ; Colet, Pere
Palabras claveCavity resonators
Bifurcation
Optical resonators
Nonlinear optics
Fecha de publicación18-feb-2005
EditorAmerican Physical Society
CitaciónPhysical Review Letters 94, 063905 (1-4) (2005)
ResumenWe find and characterize an excitability regime mediated by localized structures in a dissipative nonlinear optical cavity. The scenario is that stable localized structures exhibit a Hopf bifurcation to self-pulsating behavior, that is followed by the destruction of the oscillation in a saddle-loop bifurcation. Beyond this point there is a regime of excitable localized structures under the application of suitable perturbations. Excitability emerges from the spatial dependence since the system does not exhibit any excitable behavior locally. We show that the whole scenario is organized by a Takens-Bogdanov codimension-2 bifurcation point. DOI: 10.1103/PhysRevLett.94.063905
Descripción4 pages.-- PACS nrs.: 42.65.Sf, 05.45.–a, 89.75.Fb.-- ArXiv pre-print: http://arxiv.org/abs/nlin.PS/0411047
Versión del editorhttp://dx.doi.org/10.1103/PhysRevLett.94.063905
URIhttp://hdl.handle.net/10261/7463
DOI10.1103/PhysRevLett.94.063905
ISSN0031-9007
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