Stability properties of traveling pulse solutions of the higher dimensional FitzHugh-Nagumo equations
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Publication:3480442
DOI10.1007/BF03167885zbMath0702.35017OpenAlexW2070625875MaRDI QIDQ3480442
Tohru Tsujikawa, Ryo Kobayashi, Hideo Ikeda, Masayasu Mimura, Toshitaka Nagai
Publication date: 1989
Published in: Japan Journal of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf03167885
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Existence of traveling wave solutions to reaction-diffusion-ODE systems with hysteresis ⋮ Stable three-dimensional action potential circulation in the FitzHugh- Nagumo model ⋮ Two mechanisms of spiral-pair-source creation in excitable media ⋮ Corner defects in almost planar interface propagation ⋮ Nonannihilation dynamics in an exothermic reaction-diffusion system with mono-stable excitability ⋮ Near-pulse solutions of the FitzHugh-Nagumo equations on cylindrical surfaces ⋮ Curved surface geometry-induced topological change of an excitable planar wavefront
Cites Work
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- Stability of fast travelling pulse solutions of the FitzHugh-Nagumo equations
- Spiral waves in the Belousov-Zhabotinskii reaction
- Existence and stability of periodic travelling wave solutions to Nagumo's nerve equation
- Geometric theory of semilinear parabolic equations
- Weighted norms for the stability of traveling waves
- On the stability of waves of nonlinear parabolic systems
- The approach of solutions of nonlinear diffusion equations to travelling front solutions
- Spectra of perturbed semigroups with applications to transport theory
- Stability of the Travelling Wave Solution of the Fitzhugh-Nagumo System
- A Geometrical Theory for Spiral Waves in Excitable Media
- The Stability of Traveling Wave Front Solutions of a Reaction-Diffusion System
- ON THE EXISTENCE OF HOMOCLINIC AND PERIODIC ORBITS FOR THE FITZHUGH-NAGUMO EQUATIONS
