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

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

2008-10-15

arxiv.org/abs/0810.2808v1

Phys. Rev. A 77, 033841 (2008)

Nonlinear Sciences

Pattern Formation and Solitons

8 pages, 9 figures

Scientific paper

10.1103/PhysRevA.77.033841

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.

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