The computation of symmetry-breaking bifurcation points in \(Z_ 2\times Z_ 2\)-symmetric nonlinear problems

DOI10.1007/BF02662861zbMath0841.58012MaRDI QIDQ1904983

Ruisong Ye, Zhong-hua Yang

Publication date: 6 February 1996

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

zbMATH Keywords

spontaneous symmetry breakingextended systems\(\mathbb{Z}_ 2 \times \mathbb{Z}_ 2\)-equivariancepitchfork bifurcation point curves

Mathematics Subject Classification ID

Numerical solution of nonlinear eigenvalue and eigenvector problems (65H17) Group-invariant bifurcation theory in infinite-dimensional spaces (58E09)

Related Items (2)

The numerical computation of symmetry-breaking Takens-Bogdanov points ⋮ 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
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