Local and global bifurcation for periodic solutions of hamiltonian systems via comparison theory for the spectral flow
DOI:
https://doi.org/10.12775/TMNA.2025.039Keywords
Hamiltonian systems, bifurcation, spectral flowAbstract
We obtain local and global bifurcation for periodic solutions of Hamiltonian systems by using a new way to apply a comparison principle of the spectral flow that was originally introduced by Pejsachowicz in a joint work with the third author. A particular novelty is the study of global bifurcation, which to the best of our knowledge has not been done via the spectral flow.References
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