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Title: Competition between drift and spatial defects leads to oscillatory and excitable dynamics of dissipative solitons
Authors: Parra-Rivas, Pedro
Gomila, Damia
Matias, Manuel
Colet, Pere
Gelens, Lendert # ×
Issue Date: 20-Jan-2016
Publisher: American Physical Society
Series Title: Physical Review E vol:93 issue:1 pages:1-17
Article number: 012211
Abstract: We have reported in Phys. Rev. Lett. 110, 064103 (2013) 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.
ISSN: 2470-0045
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Laboratory of Dynamics in Biological Systems
× corresponding author
# (joint) last author

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