Accumulations of \(T\)-points in a model for solitary pulses in an excitable reaction-diffusion medium

DOI10.1016/j.physd.2004.12.007zbMath1068.35016OpenAlexW2058882085MaRDI QIDQ1776987

Ale Jan Homburg, Mario A. Natiello

Publication date: 12 May 2005

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2004.12.007

zbMATH Keywords

Traveling wavesCodimension 3 bifurcationGlobal bifurcation theorySurface catalysis

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Bifurcations in context of PDEs (35B32) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)

Related Items (5)

Using Lin's method to solve Bykov's problems ⋮ Analysis of the T-point-Hopf bifurcation in the Lorenz system ⋮ Global generic dynamics close to symmetry ⋮ Analysis of the T-point-Hopf bifurcation ⋮ ANALYSIS OF THE T-POINT–HOPF BIFURCATION WITH ℤ₂-SYMMETRY: APPLICATION TO CHUA'S EQUATION

Cites Work

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• The bifurcations of separatrix contours and chaos
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• The Bifurcation of Homoclinic and Periodic Orbits from Two Heteroclinic Orbits
• Homoclinic Bifurcations with Nonhyperbolic Equilibria
• Finitely-smooth normal forms of local families of diffeomorphisms and vector fields
• Gluing unstable fronts and backs together can produce stable pulses
• Homoclinic and Heteroclinic Bifurcations Close to a Twisted Heteroclinic Cycle
• Resonant homoclinic flip bifurcations
• Homoclinic-doubling cascades.

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