Cross-diffusion effects on stationary pattern formation in the Fitzhugh-Nagumo model
DOI10.3934/dcdsb.2022063zbMath1498.35034OpenAlexW4226226220MaRDI QIDQ2082021
Gianfranco Rubino, Valeria Giunta, Maria Carmela Lombardo, Gaetana Gambino
Publication date: 30 September 2022
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2022063
amplitude equationsTuring instabilityimpact of linear cross-diffusion on the onset of stationary nonhomogeneous structureout-of-phase patterns
Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Bifurcations in context of PDEs (35B32) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Initial-boundary value problems for second-order parabolic systems (35K51) Pattern formations in context of PDEs (35B36)
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