Abstract Hopf bifurcation theorem and further extensions via second variation

DOI10.1016/J.NA.2010.06.014zbMath1218.47084OpenAlexW2041381875MaRDI QIDQ988134

Vladimir Jacimovic

Publication date: 26 August 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.06.014

zbMATH Keywords

bifurcationperiodic solutionFredholm operatorHopf map

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Bifurcation theory for ordinary differential equations (34C23) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Abstract bifurcation theory involving nonlinear operators (47J15) Hopf invariants (55Q25)

Related Items (2)

Extended Hopf bifurcation for abstract integral equations at resonant eigenvalue ⋮ Abstract Bifurcation Theorems and Applications to Dynamical Systems with Resonant Eigenvalues

Cites Work

• New bifurcation theorems via the second-order optimality conditions
• Dual variational methods in critical point theory and applications
• Bifurcation from simple eigenvalues
• Vector fields on spheres
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