Double high order \(S\)-breaking bifurcation points and their numerical determination

DOI10.1007/BF00123107zbMath0879.47036OpenAlexW2319243846MaRDI QIDQ1367371

Ruisong Ye, Zhong-hua Yang

Publication date: 6 November 1997

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00123107

zbMATH Keywords

extended systembreaking bifurcation pointsquadratic pitchfork bifurcation point pathstwo-parameter dependent nonlinear problems with \(Z_ 2 \times Z_ 2\)-symmetry

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)

Related Items (1)

Symmetry-breaking bifurcation in \(O(2)\times O(2)\)-symmetric nonlinear large problems and its application to the Kuramoto-Sivashinsky equation in two spatial dimensions

Cites Work

• Finite dimensional approximation of nonlinear problems. III: Simple bifurcation points
• Singularities and groups in bifurcation theory. Volume I
• The use of symmetry in bifurcation calculations and its application to the Bénard problem
• The Computation of Symmetry-Breaking Bifurcation Points
• Secondary Bifurcation Near a Double Eigenvalue
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