Numerical approach to transient dynamics of oscillatory pulses in a bistable reaction-diffusion system
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Publication:623741
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
Reaction-diffusion equations (35K57) Bifurcations in context of PDEs (35B32) Numerical bifurcation problems (65P30) Pattern formations in context of PDEs (35B36)
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Cites Work
- Unnamed Item
- Unnamed Item
- Singular perturbation approach to stability properties of travelling wave solutions of reaction-diffusion systems
- Dynamics of travelling breathers arising in reaction-diffusion systems (ODE modelling approach)
- Absolute and convective instabilities of waves on unbounded and large bounded domains
- Bifurcation phenomena from standing pulse solutions in some reaction-diffusion systems
- NUMERICAL ANALYSIS AND CONTROL OF BIFURCATION PROBLEMS (I): BIFURCATION IN FINITE DIMENSIONS
- 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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