Nonannihilation dynamics in an exothermic reaction-diffusion system with mono-stable excitability

DOI10.1063/1.166282zbMath0933.35094OpenAlexW2016166112WikidataQ52015495 ScholiaQ52015495MaRDI QIDQ4935802

Masaharu Nagayama, Masayasu Mimura

Publication date: 17 January 2000

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.166282

zbMATH Keywords

ring patternstravelling pulsescomplex patterns in 2-dimensions

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57)

Related Items (8)

Axisymmetric ring solutions of the 2D Gray-Scott model and their destabilization into spots ⋮ Pulse-pulse interaction in reaction-diffusion systems ⋮ Numerical approach to transient dynamics of oscillatory pulses in a bistable reaction-diffusion system ⋮ Scattering of traveling spots in dissipative systems ⋮ Pattern formation in consumer-finite resource reaction-diffusion systems ⋮ The motion of weakly interacting localized patterns for reaction-diffusion systems with nonlocal effect ⋮ Complex pattern formation driven by the interaction of stable fronts in a competition-diffusion system ⋮ Curved surface geometry-induced topological change of an excitable planar wavefront

Cites Work

• Collision of Propagating Pulses in a Reaction-Diffusion System
• Stability properties of traveling pulse solutions of the higher dimensional FitzHugh-Nagumo equations
• Excitability, wave reflection, and wave splitting in a cubic autocatalysis reaction-diffusion system

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