Hopf bifurcation near a double singular point with \(\mathbb{Z}_{2}\)-symmetry and \(X_{0}\)-breaking

DOI10.1016/S0377-0427(01)00570-2zbMath1017.34043MaRDI QIDQ1612375

Yi Su, Wei Wu

Publication date: 22 August 2002

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Hopf points\(\mathbb{Z}_2\)-symmetry

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Bifurcation theory for ordinary differential equations (34C23) Bifurcations of singular points in dynamical systems (37G10) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Bifurcations in context of PDEs (35B32)

Cites Work

• Bifurcation analysis near a double eigenvalue of a model chemical reaction
• Imperfection sensitivity of interacting Hopf and steady-state bifurcations and their classification
• Multiple limit point bifurcation
• Singularities and groups in bifurcation theory. Volume II
• A note on the calculation of paths of Hopf bifurcations
• The Calculation of Hopf Points by a Direct Method
• A Direct Method for the Computation of Hopf Bifurcation Points
• Numerical calculations of two-cell and single-cell Taylor flows
• Steady-state/Hopf mode interaction at a symmetry-breaking Takens-Bogdanov point
• Convergence Cones Near Bifurcation
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