title: Competition between drift and spatial defects leads to oscillatory and excitable dynamics of dissipative solitons.
abstract: We 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.
authors: Applied Physics Research Group (APHY), Vrije Universiteit Brussel (VUB), 1050 Brussels Belgium.|Instituto de Física Interdisciplinar y Sistemas Complejos, IFISC (CSIC-UIB), Campus Universitat de les Illes Balears, E-07122 Palma de Mallorca, Spain.
authors: P
authors: P
authors: Parra-Rivas
authors: Instituto de Física Interdisciplinar y Sistemas Complejos, IFISC (CSIC-UIB), Campus Universitat de les Illes Balears, E-07122 Palma de Mallorca, Spain.
authors: D
authors: D
authors: Gomila
authors: Instituto de Física Interdisciplinar y Sistemas Complejos, IFISC (CSIC-UIB), Campus Universitat de les Illes Balears, E-07122 Palma de Mallorca, Spain.
authors: M A
authors: MA
authors: Matías
authors: Instituto de Física Interdisciplinar y Sistemas Complejos, IFISC (CSIC-UIB), Campus Universitat de les Illes Balears, E-07122 Palma de Mallorca, Spain.
authors: P
authors: P
authors: Colet
authors: Applied Physics Research Group (APHY), Vrije Universiteit Brussel (VUB), 1050 Brussels Belgium.|Laboratory of Dynamics in Biological Systems, KU Leuven Department of Cellular and Molecular Medicine, University of Leuven, B-3000 Leuven, Belgium.|Department of Chemical and Systems Biology, Stanford University School of Medicine, Stanford, California 94305-5174, USA.
authors: L
authors: L
authors: Gelens
mesh_terms: D003198:Computer Simulation; D008962:Models, Theoretical; D010507:Periodicity