Radially symmetric patterns of reaction-diffusion systems

DOI10.1090/memo/0786zbMath1036.35092OpenAlexW2069247393MaRDI QIDQ4432910

Arnd Scheel

Publication date: 2 November 2003

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/2b7c721520cc05ef36acf611d9b7315cf82d51ea

zbMATH Keywords

grain boundarytarget patternscentral manifoldsTuring structurestwo-dimensional patternasymptotic plane-wave stateoscillating standing wavesthree-dimensional pattern

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Nonlinear elliptic equations (35J60) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Stability problems for infinite-dimensional dissipative dynamical systems (37L15) Bifurcations in context of PDEs (35B32) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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