Determination of the branching equation by its group symmetry—Andronov—Hopf bifurcation

DOI10.1016/S0362-546X(96)00033-8zbMath0870.34043MaRDI QIDQ3128189

Boris Vladimirovich Loginov

Publication date: 8 September 1997

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

non-semisimple eigenvaluegeneralized Jordan chainLyapunov-Schmidt bifurcation equations

Mathematics Subject Classification ID

Related Items (6)

Bifurcation, symmetry, and cosymmetry in differential equations unresolved with respect to the derivative with variational branching equations ⋮ Unnamed Item ⋮ On the stability of periodic solutions for differential equations with a Fredholm operator at the highest derivative ⋮ On periodic solutions of linear inhomogeneous differential equations with a small perturbation at the derivative ⋮ Unnamed Item ⋮ Rotating and standing waves in a diffractive nonlinear optical system with delayed feedback under \(O(2)\) Hopf bifurcation

Cites Work

• Group theoretic methods in bifurcation theory. With an appendix by P. Olver
• Group representation theory, bifurcation theory and pattern formation
• Singularities and groups in bifurcation theory. Volume I
• Group analysis methods for construction and investigation of the bifurcation equation
• Singularities and groups in bifurcation theory. Volume II
• The Couette-Taylor problem
• Investigation of auto-oscillations of a continuous medium, occurring at loss of stability of a stationary mode
• Generalized Jordan structure in the problem of the stability of bifurcating solutions
• Group Representation Theory and Branch Points of Nonlinear Functional Equations
• ICIAM/GAMM 95 Applied sciences, especially Mechanics Minisymposia Contributions
• On convection onset in a self-gravitating fluid sphere with internal heating
• THE DEVELOPMENT AND APPLICATIONS OF THE ASYMPTOTIC METHOD OF LYUSTERNIK AND VISHIK
• THE USE OF GROUP PROPERTIES TO DETERMINE MULTI-PARAMETER FAMILIES OF SOLUTIONS OF NONLINEAR EQUATIONS
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Determination of the branching equation by its group symmetry—Andronov—Hopf bifurcation