Guangcun Lu
Published 2021-12-20, updated 2023-12-20Version 3
With the dual variational principle and the saddle point reduction we use the abstract bifurcation theory recently developed by author in previous work to prove many new bifurcation results for solutions of four types of Hamiltonian boundary value problems nonlinearly depending on parameters. The most interesting and important among them are those alternative results which can only be proved with our generalized versions of the famous Rabinowitz's alternative bifurcation theorem.
Comments: Latex, 85 pages; a thoroughly rewritten and largely extended new version of a previous arXiv preprint, many new results were added, and remove "via dual variational principle'' in the original title
Bifurcations of relative equilibria near zero momentum in Hamiltonian systems with spherical symmetry
Spectral flow, crossing forms and homoclinics of Hamiltonian systems
Fractional Generalization of Gradient and Hamiltonian Systems
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