Localized patterns in a three-component Fitzhugh-Nagumo model revisited via an action functional
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Publication:1663166
DOI10.1007/S10884-016-9557-ZzbMath1402.35026OpenAlexW2533252060MaRDI QIDQ1663166
Chao-Nien Chen, Peter van Heijster, Yasumasa Nishiura, Takashi Teramoto
Publication date: 21 August 2018
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10884-016-9557-z
Variational inequalities (49J40) Stability in context of PDEs (35B35) Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Variational methods for second-order elliptic equations (35J20)
Related Items (16)
Spatially Periodic Multipulse Patterns in a Generalized Klausmeier--Gray--Scott Model ⋮ The sub-supersolution method for the 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 ⋮ Analysing transitions from a Turing instability to large periodic patterns in a reaction-diffusion system ⋮ Arbitrarily weak head-on collision can induce annihilation: the role of hidden instabilities ⋮ Bifurcation to instability through the lens of the Maslov index ⋮ Reduction approach to the dynamics of interacting front solutions in a bistable reaction-diffusion system and its application to heterogeneous media ⋮ Multiple front standing waves in the FitzHugh-Nagumo equations ⋮ Matched asymptotic expansion approach to pulse dynamics for a three-component reaction-diffusion system ⋮ Pinned solutions in a heterogeneous three-component FitzHugh-Nagumo model ⋮ Heterogeneity-induced effects for pulse dynamics in FitzHugh-Nagumo-type systems ⋮ Unfolding symmetric Bogdanov-Takens bifurcations for front dynamics in a reaction-diffusion system ⋮ Spike solutions for a mass conservation reaction-diffusion 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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