EXAMPLES OF FORCED SYMMETRY-BREAKING TO HETEROCLINIC CYCLES AND NETWORKS IN THREE-DIMENSIONAL EUCLIDEAN-INVARIANT SYSTEMS

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Cites Work

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An example of symmetry breaking to heteroclinic cycles
Planforms in three dimensions
Planforms in two and three dimensions
Heteroclinic cycles in dynamical systems with broken spherical symmetry
A mathematical theory of visual hallucination patterns
Three-dimensional dissipative structures in reaction-diffusion systems
Robust heteroclinic cycles
Heteroclinic networks in coupled cell systems
Pattern formation in three-dimensional reaction-diffusion systems
Forced symmetry-breaking of square lattice planforms
Pattern formation in the presence of symmetries
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
Bifurcation on the hexagonal lattice and the planar Bénard problem
Symmetry-breaking bifurcations on cubic lattices
Forced symmetry breaking perturbations for periodic solutions
Stability results for steady, spatially periodic planforms
An example of a nonasymptotically stable attractor
Heteroclinic networks on the tetrahedron
A competition between heteroclinic cycles
Steady PDEs on generalized rectangles: a change of genericity in mode interactions
A systematic study of heteroclinic cycles in dynamical systems with broken symmetries
Heteroclinic cycles for reaction diffusion systems by forced symmetry-breaking
Regular and irregular cycling near a heteroclinic network

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