Multiparameter local bifurcation

DOI10.1016/0362-546X(86)90063-5zbMath0617.58016OpenAlexW2018942232MaRDI QIDQ4727068

Julián López-Gómez

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0362-546x(86)90063-5

zbMATH Keywords

multiparameter bifurcationHopf bifurcation theoremabstract multiparameter problemsoddness multiplicity of an eigenvalue is a necessary and sufficient condition on the linear part in order to have bifurcation

Mathematics Subject Classification ID

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

Related Items (2)

Optimal multiplicity in local bifurcation theory. I: Generalized generic eigenvalues ⋮ Multjparameter nonlinear eigenvalue problems: positive solutions to elliptic lotka-volterra systems

Cites Work

• Unnamed Item
• Bifurcation at multiple eigenvalues and stability of bifurcating solutions
• Hopf bifurcation for ordinary differential equations with a zero eigenvalue
• Multiple limit point bifurcation
• Applications of the blowing-up construction and algebraic geometry to bifurcation problems
• Hopf bifurcation at multiple eigenvalues
• Bifurcation from simple eigenvalues
• Hopf bifurcation at multiple eigenvalues with zero eigenvalue
• Local solution manifolds for nonlinear equations
• A Generalization of Multiplicity and the Problem of Bifurcation
• Bifurcation theorems of Rabinowitz type
• Bifurcation at Eigenvalues of Odd Multiplicity

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