Patterns in square arrays of coupled cells

DOI10.1006/jmaa.1997.5347zbMath0889.34033OpenAlexW2117734515MaRDI QIDQ1359592

David Gillis, Martin Golubitsky

Publication date: 1 June 1998

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/f13ba192025acdcb5454d26e0cce9077241195f1

zbMATH Keywords

reaction-diffusion equationsbifurcation theoryequivariant dynamical systemsequivariant branching lemma

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Reaction-diffusion equations (35K57) Bifurcation theory for ordinary differential equations (34C23) Bifurcations in context of PDEs (35B32) Dynamical systems and ergodic theory (37-XX)

Related Items (7)

Bifurcations and Dynamics Emergent From Lattice and Continuum Models of Bioactive Porous Media ⋮ Invariant Synchrony Subspaces of Sets of Matrices ⋮ Exotic Patterns of Synchrony in Planar Lattice Networks ⋮ Periodic solutions in an array of coupled FitzHugh-Nagumo cells ⋮ Nonlinear dynamics of networks: the groupoid formalism ⋮ Symmetries of Quotient Networks for Doubly Periodic Patterns on the Square Lattice ⋮ Hilbert series for equivariant mappings restricted to invariant hyperplanes

Cites Work

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• Planforms in two and three dimensions
• Singularities and groups in bifurcation theory. Volume II
• Bifurcations on hemispheres
• Coupled stationary bifurcations in non-flux boundary value problems
• Symmetric patterns in linear arrays of coupled cells
• Steady PDEs on generalized rectangles: a change of genericity in mode interactions

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