Simple heteroclinic cycles in ${\mathbb R}^4$

DOI10.1088/0951-7715/28/4/901zbMath1351.34050arXiv1310.0298OpenAlexW2535703940MaRDI QIDQ5247154

Pascal Chossat, Olga M. Podvigina

Publication date: 23 April 2015

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.0298

zbMATH Keywords

structural stabilitysymmetriesquaternionsheteroclinic cycle

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (11)

Pseudo-simple heteroclinic cycles in \(\mathbb{R}^4\) ⋮ Stability of heteroclinic cycles in transverse bifurcations ⋮ On the existence of bifocal heteroclinic cycles in a class of four-dimensional piecewise affine systems ⋮ Effect of noise on residence times of a heteroclinic cycle ⋮ Stability of heteroclinic cycles: a new approach based on a replicator equation ⋮ Behaviour of trajectories near a two-cycle heteroclinic network ⋮ Asymptotic stability of robust heteroclinic networks ⋮ Stability of quasi-simple heteroclinic cycles ⋮ Asymptotic stability of pseudo-simple heteroclinic cycles in \(\mathbb R^4\) ⋮ Simple heteroclinic networks in $ \newcommand{\R}{{{\mathbb R}}} \R^4$ ⋮ Heteroclinic cycles and chaos in a class of 3D three-zone piecewise affine systems

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