Numerical approach to transient dynamics of oscillatory pulses in a bistable reaction-diffusion system

DOI10.1007/S13160-010-0015-8zbMath1204.65145OpenAlexW2058680072MaRDI QIDQ623741

Masaaki Yadome, Masaharu Nagayama, Kei-Ichi Ueda

Publication date: 8 February 2011

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13160-010-0015-8

zbMATH Keywords

bifurcationreaction-diffusion systemtransient dynamicsoscillatory pulse

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Bifurcations in context of PDEs (35B32) Numerical bifurcation problems (65P30) Pattern formations in context of PDEs (35B36)

Related Items (6)

Dynamics of two interfaces in a hybrid system with jump-type heterogeneity ⋮ Arbitrarily weak head-on collision can induce annihilation: the role of hidden instabilities ⋮ 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 pattern formation driven by the interaction of stable fronts in a competition-diffusion system ⋮ Non-iterative compact operator splitting scheme for Allen-Cahn equation

Cites Work

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• NUMERICAL ANALYSIS AND CONTROL OF BIFURCATION PROBLEMS (II): BIFURCATION IN INFINITE DIMENSIONS
• Nonannihilation dynamics in an exothermic reaction-diffusion system with mono-stable excitability
• Hopf bifurcation of travelling pulses in some bistable reaction-diffusion systems
• Spatio-temporal chaos for the Gray-Scott model

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