An example of symmetry breaking to heteroclinic cycles

DOI10.1006/jdeq.1996.3201zbMath0991.34043OpenAlexW2088127869MaRDI QIDQ678032

Martin Golubitsky, Chuanze Hou

Publication date: 20 August 2002

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/b4505903dc571ee2d44601e9ae38396a03da8f84

zbMATH Keywords

symmetry groupattracting heteroclinic cyclegeneric steady bifurcation

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Group-invariant bifurcation theory in infinite-dimensional spaces (58E09)

Related Items (9)

On the effects on cortical spontaneous activity of the symmetries of the network of pinwheels in visual area V1 ⋮ Robust heteroclinic cycles ⋮ From coupled networks of systems to networks of states in phase space ⋮ Periodic forcing of a heteroclinic network ⋮ 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 ⋮ Forced symmetry-breaking of square lattice planforms ⋮ Pattern formation in three-dimensional reaction-diffusion systems ⋮ EXAMPLES OF FORCED SYMMETRY-BREAKING TO HETEROCLINIC CYCLES AND NETWORKS IN THREE-DIMENSIONAL EUCLIDEAN-INVARIANT SYSTEMS

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