Stability of heteroclinic cycles in transverse bifurcations

DOI10.1016/j.physd.2015.08.005zbMath1364.37055OpenAlexW1176348997MaRDI QIDQ2396250

Alexander Lohse

Publication date: 7 June 2017

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2015.08.005

zbMATH Keywords

heteroclinic cyclestability indexequivariant dynamicsnon-asymptotic stability

Mathematics Subject Classification ID

Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Stability theory for smooth dynamical systems (37C75) Homoclinic and heteroclinic orbits for dynamical systems (37C29)

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• Asymptotic stability of heteroclinic cycles in systems with symmetry
• Asymptotic stability of heteroclinic cycles in systems with symmetry. II
• Simple heteroclinic cycles in ${\mathbb R}^4$

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