Heteroclinic and homoclinic bifurcations in bistable reaction diffusion systems
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Publication:2639234
DOI10.1016/0022-0396(90)90033-LzbMath0718.35010MaRDI QIDQ2639234
Yasumasa Nishiura, Hiroshi Kokubu, Hiroe Oka
Publication date: 1990
Published in: Journal of Differential Equations (Search for Journal in Brave)
Related Items (17)
Existence and stability of pulse wave bifurcated from front and back waves in bistable reaction-diffusion systems ⋮ Saddle-node bifurcation of viscous profiles ⋮ Singular perturbation and bifurcation of diffuse transition layers in inhomogeneous media. II ⋮ Existence of traveling wave solutions to reaction-diffusion-ODE systems with hysteresis ⋮ Existence of front-back-pulse solutions of a three-species Lotka-Volterra competition-diffusion system ⋮ Traveling pulses and their bifurcation in a diffusive Rosenzweig-MacArthur system with a small parameter ⋮ Monostable-type travelling wave solutions of the diffusive FitzHugh-Nagumo-type system in \(\mathbb{R}^N\) ⋮ Construction and asymptotic stability of structurally stable internal layer solutions ⋮ Dynamics of front solutions in a specific reaction-diffusion system in one dimension ⋮ Existence of standing pulse solutions for an excitable activator- inhibitory system ⋮ An entire solution of a bistable parabolic equation on \(\mathbb{R}\) with two colliding pulses ⋮ Homoclinic twisting bifurcations and cusp horseshoe maps ⋮ Multiple travelling waves in evolutionary game dynamics ⋮ Butterfly catastrophe for fronts in a three-component reaction-diffusion system ⋮ Complex pattern formation driven by the interaction of stable fronts in a competition-diffusion system ⋮ Multiple internal layer solutions generated by spatially oscillatory perturbations ⋮ Singular perturbation of \(N\)-front travelling waves in the FitzHugh-Nagumo equations
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