Steady-state/Hopf mode interaction at a symmetry-breaking Takens-Bogdanov point

DOI10.1093/imanum/14.1.137zbMath0792.65037OpenAlexW2026793226MaRDI QIDQ4285959

Wei Wu, Alastair Spence, K. Andrew Cliffe

Publication date: 31 July 1994

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/14.1.137

zbMATH Keywords

numerical resultsbifurcationBanach spaceequations with nonlinear operatorsasymmetric Hopf pointssymmetric Hopf pointssymmetry-breaking Takens-Bogdanov point

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (3)

The numerical computation of symmetry-breaking Takens-Bogdanov points ⋮ THE CALCULATION OF THE HOPF/HOPF MODE INTERACTION POINT IN PROBLEMS WITH Z₂-SYMMETRY ⋮ Hopf bifurcation near a double singular point with \(\mathbb{Z}_{2}\)-symmetry and \(X_{0}\)-breaking

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