Forced symmetry breaking perturbations for periodic solutions

DOI10.1088/0951-7715/10/1/019zbMath0944.34038OpenAlexW2087676142MaRDI QIDQ3841281

Reiner Lauterbach, Frédéric Guyard

Publication date: 4 September 2000

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/10/1/019

zbMATH Keywords

periodic orbitcompact Lie groupheteroclinic cycles\(L\)-diffeomorphic perturbation\(L\)-equivariant \(\varepsilon\)-perturbations

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Symmetries, invariants of ordinary differential equations (34C14) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (2)

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

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