Polymorphic and regular localized activity structures in a two-dimensional two-component reaction-diffusion lattice with complex threshold excitation

DOI10.1016/j.physd.2010.02.004zbMath1189.37086OpenAlexW2009509686MaRDI QIDQ979108

A. S. Dmitrichev, Vladimir I. Nekorkin, Jean Marie Bilbault, Stéphane Binczak

Publication date: 25 June 2010

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2010.02.004

zbMATH Keywords

bifurcationnonlinear dynamicspattern formationlocalized patterns

Mathematics Subject Classification ID

Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60)

Cites Work

• Heteroclinic contours and self-replicated solitary waves in a reaction-diffusion lattice with complex threshold excitation
• Synergetic phenomena in active lattices. Patterns, waves, solitons, chaos
• Mode-doubling and tripling in reaction-diffusion patterns on growing domains: a piecewise linear model
• Experimental study of electrical FitzHugh-Nagumo neurons with modified excitability
• Nagumo's equation
• Static spike autosolitons in the Gray-Scott model
• Scattering of traveling spots in dissipative systems
• Propagation and Its Failure in Coupled Systems of Discrete Excitable Cells
• Pattern formation in non-gradient reaction-diffusion systems: the effects of front bifurcations
• Stability of travelling fronts in a piecewise-linear reaction-diffusion system
• EXPERIMENTAL PROPAGATION FAILURE IN A NONLINEAR ELECTRICAL LATTICE
• Spiking dynamics of interacting oscillatory neurons
• Interaction of dissipative solitons: Particle-like behaviour of localized structures in a three-component reaction-diffusion system
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