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

by Parra-Rivas, P., Gomila, D., Matías, M. A., Colet, P. and Gelens, L.
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.
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Reference:
Competition between drift and spatial defects leads to oscillatory and excitable dynamics of dissipative solitons Parra-Rivas, P., Gomila, D., Matías, M. A., Colet, P. and Gelens, L., Physical Review E, volume 93, pp. 012211, 2016.
Bibtex Entry:
@article{parra-rivas_competition_2016,
	title = {Competition between drift and spatial defects leads to oscillatory and excitable dynamics of dissipative solitons},
	volume = {93},
	url = {http://link.aps.org/doi/10.1103/PhysRevE.93.012211},
	doi = {10.1103/PhysRevE.93.012211},
	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.},
	number = {1},
	urldate = {2016-11-07},
	journal = {Physical Review E},
	author = {Parra-Rivas, P. and Gomila, D. and Matías, M. A. and Colet, P. and Gelens, L.},
	month = jan,
	year = {2016},
	pages = {012211},
	file = {APS Snapshot:/home/jan/.zotero/zotero/djuw86a6.default/zotero/storage/4X4R6BR5/PhysRevE.93.html:text/html}
}