Origin Preserving Path Formulation for Multiparameter ℤ2-Equivariant Corank 2 Bifurcation Problems

DOI10.1142/S0218127420501400zbMath1457.37070OpenAlexW3048353389MaRDI QIDQ5120539

Jacques-Elie Furter

Publication date: 15 September 2020

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127420501400

zbMATH Keywords

singularity theoryequivariant bifurcation problempath formulation

Mathematics Subject Classification ID

Bifurcations of singular points in dynamical systems (37G10) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Cites Work

• Constructive analysis of buckling mode interactions with single \(Z_{2}\)-symmetry
• Determinacy and unipotency
• Singularities and groups in bifurcation theory. Volume I
• Singularities and groups in bifurcation theory. Volume II
• Singularity theory and equivariant symplectic maps
• The unfolding and determinacy theorems for subgroups of 𝒜 and 𝒦
• NONDEGENERATE UMBILICS, THE PATH FORMULATION AND GRADIENT BIFURCATION PROBLEMS
• Classification of Z(2)-Equivariant Imperfect Bifurcations with Corank 2
• Deformations of Sections of Singularities and Gorenstein Surface Singularities
• A theory for imperfect bifurcation via singularity theory
• Algebraic path formulation for equivariant bifurcation problems
• Sensitivity to Imperfections in a Class of Nearly Double Bucklings
• A note on non-degenerate umbilics and the path formulation for bifurcation problems
• On a Reduction Process for Nonlinear Equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Origin Preserving Path Formulation for Multiparameter ℤ2-Equivariant Corank 2 Bifurcation Problems