Standing pulse solutions to FitzHugh-Nagumo equations
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Publication:1762429
DOI10.1007/S00205-012-0542-3zbMath1264.35119OpenAlexW2003034612MaRDI QIDQ1762429
Publication date: 26 November 2012
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00205-012-0542-3
Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Second-order parabolic systems (35K40) Semilinear parabolic equations (35K58)
Related Items (22)
Traveling waves for the Fitzhugh-Nagumo system on an infinite channel ⋮ Stability analysis for standing pulse solutions to FitzHugh-Nagumo equations ⋮ The heteroclinic connection problem for general double-well potentials ⋮ Localized patterns in a three-component Fitzhugh-Nagumo model revisited via an action functional ⋮ A heteroclinic solution to a variational problem corresponding to FitzHugh-Nagumo type reaction-diffusion system with heterogeneity ⋮ The \(\Gamma\)-limit of traveling waves in the FitzHugh-Nagumo system ⋮ Front propagation in both directions and coexistence of traveling fronts and pulses ⋮ Bifurcation to instability through the lens of the Maslov index ⋮ Existence of standing pulse solutions to a skew-gradient system ⋮ Multiple front standing waves in the FitzHugh-Nagumo equations ⋮ Traveling pulse solutions to Fitzhugh-Nagumo equations ⋮ Pinned solutions in a heterogeneous three-component FitzHugh-Nagumo model ⋮ Heterogeneity-induced effects for pulse dynamics in FitzHugh-Nagumo-type systems ⋮ Butterfly catastrophe for fronts in a three-component reaction-diffusion system ⋮ Higher Dimensional Bubble Profiles in a Sharp Interface Limit of the FitzHugh--Nagumo System ⋮ Unfolding symmetric Bogdanov-Takens bifurcations for front dynamics in a reaction-diffusion system ⋮ A Geometric Approach to Stationary Defect Solutions in One Space Dimension ⋮ A steepest descent algorithm for the computation of traveling dissipative solitons ⋮ Spike solutions for a mass conservation reaction-diffusion system ⋮ Minimal lamellar structures in a periodic FitzHugh-Nagumo system ⋮ Traveling Pulse Solutions in a Three-Component FitzHugh--Nagumo Model ⋮ Stability of Lamellar Configurations in a Nonlocal Sharp Interface Model
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