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American Physical Society, Physical Review A, 3(77)

DOI: 10.1103/physreva.77.033841

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Dynamical instabilities of dissipative solitons in nonlinear optical cavities with nonlocal materials

Journal article published in 2008 by Lendert Gelens, Damia Gomila, Guy Van der Sande ORCID, Jan Danckaert ORCID, Pere Colet, Manuel A. Matias
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Abstract

In this work we characterize the dynamical instabilities of localized structures exhibited by a recently introduced Gelens et al., Phys. Rev. A 75, 063812 2007 generalization of the Lugiato-Lefever model that includes a weakly nonlocal response of an intracavity metamaterial. A rich scenario, in which the localized structures exhibit different types of oscillatory instabilities, tristability, and excitability, including a regime of conditional excitability in which the system is bistable, is presented and discussed. Finally, it is shown that the scenario is organized by a pair of Takens-Bogdanov codimension-2 points. ; Comment: 8 pages, 9 figures