151 citations · 772 across the 26 of their papers we have counts for
12 papers · 1 filter
Bifurcation structure of traveling pulses in Type-I excitable media
Pablo Moreno-Spiegelberg, Andreu Arinyo-i-Prats, Daniel Ruiz-Reynés +2
We have studied the existence of traveling pulses in a general Type-I excitable 1-dimensional medium. We have obtained the stability region and characterized the different bifurcat…
Traveling pulses in Class-I excitable media
Andreu Arinyo-i-Prats, Pablo Moreno-Spiegelberg, Manuel A. Matías +1
We study Class-I excitable -dimensional media showing the appearance of propagating traveling pulses. We consider a general model exhibiting Class-I excitability mediated by two…
Front interaction induces excitable behavior
P. Parra-Rivas, M. A. Matias, P. Colet +3
Spatially extended systems can support local transient excitations in which just a part of the system is excited. The mechanisms reported so far are local excitability and excitati…
Formation of localized structures in bistable systems through nonlocal spatial coupling II: The nonlocal Ginzburg Landau Equation
Lendert Gelens, Manuel A. Matias, Damia Gomila +2
We study the influence of a linear nonlocal spatial coupling on the interaction of fronts connecting two equivalent stable states in the prototypical 1-D real Ginzburg-Landau equat…
Formation of localized structures in bistable systems through nonlocal spatial coupling I: General framework
Pere Colet, Manuel A. Matias, Lendert Gelens +1
The present work studies the influence of nonlocal spatial coupling on the existence of localized structures in 1-dimensional extended systems. We consider systems described by a r…
Dissipative soliton excitability induced by spatial inhomogeneities and drift
P. Parra-Rivas D. Gomila, M. A. Matias, P. Colet
We show that excitability is generic in systems displaying dissipative solitons when spatial inhomogeneities and drift are present. Thus, dissipative solitons in systems which do n…
Logical operations with Localized Structures
Adrian Jacobo, Damia Gomila, Manuel A. Matias +1
We show how to exploit excitable regimes mediated by localized structures (LS) to perform AND, OR, and NOT logical operations providing full logical functionality. Our scheme is ge…
Nonlocality-induced front interaction enhancement
Lendert Gelens, Damia Gomila, Guy Van der Sande +2
We demonstrate that nonlocal coupling strongly influences the dynamics of fronts connecting two equivalent states. In two prototype models we observe a large amplification in the i…
Drifting instabilities of cavity solitons in vertical cavity surface-emitting lasers with frequency selective feedback
P. V. Paulau, D. Gomila, P. Colet +3
In this paper we study the formation and dynamics of self-propelled cavity solitons (CSs) in a model for vertical cavity surface-emitting lasers (VCSELs) subjected to external freq…
Dynamical instabilities of dissipative solitons in nonlinear optical cavities with nonlocal materials
Lendert Gelens, Damia Gomila, Guy Van der Sande +3
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 th…
Phase-space structure of two-dimensional excitable localized structures
Damia Gomila, Adrian Jacobo, Manuel A. Matias +1
In this work we characterize in detail the bifurcation leading to an excitable regime mediated by localized structures in a dissipative nonlinear Kerr cavity with a homogeneous pum…
Excitability mediated by localized structures
Damia Gomila, Manuel A. Matias, Pere Colet
We find and characterize an excitability regime mediated by localized structures in a dissipative nonlinear optical cavity. The scenario is that stable localized structures exhibit…