Cocoon bifurcation in three-dimensional reversible vector fields

DOI10.1088/0951-7715/19/2/004zbMath1107.34039OpenAlexW2037127318MaRDI QIDQ5476088

Hiroshi Kokubu, Santiago Ibáñez, Freddy Dumortier

Publication date: 29 June 2006

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/8f4a3e14e1a16a9e81bfb10a11efeb0b8a6e1b2b

zbMATH Keywords

saddle-node bifurcationsMichelson systemreversible vector fieldsorganizing centrecocoon bifurcationcusp-transverse heteroclinic chainreversible Bykov cycle

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Bifurcations connected with nontransversal intersection in dynamical systems (37G25)

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