Heteroclinic cycles for reaction diffusion systems by forced symmetry-breaking

DOI10.1090/S0002-9947-00-02311-4zbMath0956.37037OpenAlexW1558105528MaRDI QIDQ4955717

Reiner Lauterbach, Stanislaus Maier-Paape

Publication date: 22 May 2000

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-00-02311-4

zbMATH Keywords

bifurcationinvariant manifoldgroup orbithigher codimensionaxisymmetric equilibrium \(u_\alpha\)

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Bifurcations in context of PDEs (35B32) Bifurcations connected with nontransversal intersection in dynamical systems (37G25)

Related Items

Robust heteroclinic cycles, Partial classification of heteroclinic behaviour associated with the perturbation of hexagonal planforms, EXAMPLES OF FORCED SYMMETRY-BREAKING TO HOMOCLINIC CYCLES IN THREE-DIMENSIONAL EUCLIDEAN-INVARIANT SYSTEMS, Measuring nonequilibrium stability and resilience in an \(n\)-competitor system, Forced symmetry-breaking of square lattice planforms, Attractor and spatial chaos for the Brusselator in \(\mathbb R^n\), EXAMPLES OF FORCED SYMMETRY-BREAKING TO HETEROCLINIC CYCLES AND NETWORKS IN THREE-DIMENSIONAL EUCLIDEAN-INVARIANT SYSTEMS

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