Complete classification of homoclinic cycles in \(\mathbb{R}^4\) in the case of a symmetry group \(G\subset\text{SO}(4)\).

DOI10.1016/S1631-073X(02)02371-3zbMath1082.37055OpenAlexW1502354316MaRDI QIDQ1608695

Nicola Sottocornola

Publication date: 2002

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1631-073x(02)02371-3

Mathematics Subject Classification ID

Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (2)

Simple homoclinic cycles in low-dimensional spaces ⋮ Resonance bifurcation from homoclinic cycles

Cites Work

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• Asymptotic stability of heteroclinic cycles in systems with symmetry

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