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Competition between drift and spatial defects leads to oscillatory and excitable dynamics of dissipative solitons

AuthorsParra-Rivas, P. ; Gomila, Damià ; Matías, Manuel A. ; Colet, Pere ; Gelens, Lendert
Issue Date20-Jan-2016
PublisherAmerican Physical Society
CitationPhysical Review E 93(1): 012211 (2016)
AbstractWe have reported in Phys. Rev. Lett. 110, 064103 (2013)PRLTAO0031-900710.1103/PhysRevLett.110.064103 that in systems which otherwise do not show oscillatory dynamics, the interplay between pinning to a defect and pulling by drift allows the system to exhibit excitability and oscillations. Here we build on this work and present a detailed bifurcation analysis of the various dynamical instabilities that result from the competition between a pulling force generated by the drift and a pinning of the solitons to spatial defects. We show that oscillatory and excitable dynamics of dissipative solitons find their origin in multiple codimension-2 bifurcation points. Moreover, we demonstrate that the mechanisms leading to these dynamical regimes are generic for any system admitting dissipative solitons.
Publisher version (URL)http://dx.doi.org/10.1103/PhysRevE.93.012211
Identifierse-issn: 1550-2376
issn: 1539-3755
Appears in Collections:(IFISC) Artículos
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