Existence and stability of pulse wave bifurcated from front and back waves in bistable reaction-diffusion systems

DOI10.1007/BF03167401zbMath0961.35068OpenAlexW2092933555MaRDI QIDQ1128281

Hideo Ikeda

Publication date: 9 May 2001

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

Full work available at URL: https://doi.org/10.1007/bf03167401

zbMATH Keywords

stabilityexistenceanalytical singular perturbation methodcrossing behaviortraveling pulse waves

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Bifurcation theory for ordinary differential equations (34C23)

Related Items (2)

Reduction approach to the dynamics of interacting front solutions in a bistable reaction-diffusion system and its application to heterogeneous media ⋮ An entire solution of a bistable parabolic equation on \(\mathbb{R}\) with two colliding pulses

Cites Work

• Unnamed Item
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• Singular pulse wave bifurcations from front and back waves in bistable reaction-diffusion systems
• Singular perturbation approach to stability properties of travelling wave solutions of reaction-diffusion systems
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Geometric theory of semilinear parabolic equations
• Bifurcation phenomena from standing pulse solutions in some reaction-diffusion systems
• Heteroclinic and homoclinic bifurcations in bistable reaction diffusion systems
• Singular Limit Analysis of Stability of Traveling Wave Solutions in Bistable Reaction-Diffusion Systems
• Diffusive Effects on Dispersion in Excitable Media
• Global bifurcation phenomena of travelling wave solutions for some bistable reaction-diffusion systems
• Pattern formation in non-gradient reaction-diffusion systems: the effects of front bifurcations
• An Extension of the Stability Index for Traveling-Wave Solutions and Its Application to Bifurcations
• Hopf bifurcation of travelling pulses in some bistable reaction-diffusion systems

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