Multiparameter local bifurcation based on the linear part

DOI10.1016/0022-247X(89)90296-5zbMath0668.47042MaRDI QIDQ1118146

Julián López-Gómez

Publication date: 1989

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Hopf bifurcation theoremFredholm operators with arbitrary indexmultiparameter local bifurcation theory

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) (Semi-) Fredholm operators; index theories (47A53)

Related Items (12)

Unnamed Item ⋮ Local bifurcation theory for multiparameter nonlinear eigenvalue problems ⋮ The structure of positive solutions for a Schrödinger system ⋮ Coexistence regions in Lotka-Volterra models with diffusion ⋮ Tangent vectors to a zero set at abnormal points. ⋮ Unilateral global bifurcation for \(p\)-Laplacian with non-\(p\)-1-linearization nonlinearity ⋮ Two global several-parameter bifurcation theorems and their applications ⋮ Codimension-\(m\) bifurcation theorems applicable to the numerical verification methods ⋮ Two-parameter nonlinear Sturm-Liouville problems ⋮ Bifurcation theorems via second-order optimality conditions ⋮ The effects of dispersal and spatial heterogeneity on the dynamics of a predator-prey model ⋮ Spectral asymptotics of nonlinear elliptic two-parameter problems

Cites Work

• Unnamed Item
• Bifurcation from simple eigenvalues
• Hopf bifurcation at multiple eigenvalues with zero eigenvalue
• Bifurcation from simple eigenvalues for several parameter families

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