Planar Standing Wavefronts in the FitzHugh--Nagumo Equations
From MaRDI portal
Publication:5415073
DOI10.1137/130907793zbMath1301.34060OpenAlexW1967891504MaRDI QIDQ5415073
Shih-Yin Kung, Chao-Nien Chen, Yoshihisa Morita
Publication date: 9 May 2014
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/130907793
Reaction-diffusion equations (35K57) Variational methods for elliptic systems (35J50) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Boundary value problems on infinite intervals for ordinary differential equations (34B40) Traveling wave solutions (35C07)
Related Items (17)
Traveling waves for the Fitzhugh-Nagumo system on an infinite channel ⋮ The sub-supersolution method for the Fitzhugh-Nagumo type reaction-diffusion system with heterogeneity ⋮ 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 ⋮ Traveling wave solutions to the Allen-Cahn equation ⋮ 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 ⋮ Higher Dimensional Bubble Profiles in a Sharp Interface Limit of the FitzHugh--Nagumo System ⋮ Stabilities and dynamic transitions of the Fitzhugh-Nagumo system ⋮ A Geometric Approach to Stationary Defect Solutions in One Space Dimension ⋮ A steepest descent algorithm for the computation of traveling dissipative solitons ⋮ Minimal lamellar structures in a periodic FitzHugh-Nagumo system ⋮ Stability of Lamellar Configurations in a Nonlocal Sharp Interface Model
This page was built for publication: Planar Standing Wavefronts in the FitzHugh--Nagumo Equations