Clustered spots in the FitzHugh-Nagumo system
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Publication:557050
DOI10.1016/j.jde.2004.09.009zbMath1330.35022OpenAlexW2023408913MaRDI QIDQ557050
Matthias Winter, Wei, Juncheng
Publication date: 23 June 2005
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2004.09.009
Asymptotic behavior of solutions to PDEs (35B40) Singular perturbations in context of PDEs (35B25) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Biochemistry, molecular biology (92C40) A priori estimates in context of PDEs (35B45) Developmental biology, pattern formation (92C15) Boundary value problems for first-order elliptic systems (35J56)
Related Items (18)
Fitzhugh-Nagumo system with zero mass and critical growth ⋮ Existence of solution for a class of activator–inhibitor systems ⋮ Interior peak solutions for an elliptic system of FitzHugh-Nagumo type ⋮ Existence of semi-nodal solution for a class of Fitzhugh-Nagumo type system ⋮ Clustered solutions around harmonic centers to a coupled elliptic system ⋮ The \(\Gamma\)-limit of traveling waves in the FitzHugh-Nagumo system ⋮ Front propagation in both directions and coexistence of traveling fronts and pulses ⋮ Existence of solutions for critical Fractional FitzHugh–Nagumo type systems ⋮ Cluster solutions for the Fitzhugh-Nagumo system with Neumann boundary conditions ⋮ Existence of interior multi-peak solutions in high-dimensional FitzHugh-Nagumo system ⋮ Multipeak solutions for an elliptic system of Fitzhugh-Nagumo type ⋮ A variational approach for standing waves of Fitzhugh-Nagumo type systems ⋮ 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 ⋮ Standing pulse solutions to FitzHugh-Nagumo equations ⋮ Stability Criteria for Reaction-Diffusion Systems with Skew-Gradient Structure ⋮ Standing Waves Joining with Turing Patterns in FitzHugh–Nagumo Type Systems
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