Interface oscillations in reaction-diffusion systems above the Hopf bifurcation

DOI10.3934/DCDSB.2012.17.2523zbMath1258.35021OpenAlexW2006546459MaRDI QIDQ713384

Theodore Kolokolnikov, Rebecca McKay, P. H. Muir

Publication date: 29 October 2012

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2012.17.2523

zbMATH Keywords

Neumann boundary conditionsasymptotic methodsone space dimension

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Simulation of dynamical systems (37M05) Bifurcations in context of PDEs (35B32) Computational methods for bifurcation problems in dynamical systems (37M20) Semilinear parabolic equations (35K58) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (3)

Oscillations of many interfaces in the near-shadow regime of two-component reaction-diffusion systems ⋮ Reduction approach to the dynamics of interacting front solutions in a bistable reaction-diffusion system and its application to heterogeneous media ⋮ Complex oscillatory motion of multiple spikes in a three-component Schnakenberg system

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