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math.DS2025
A Comparison Principle for Bifurcation of Periodic Solutions of Hamiltonian Systems
Helene Cyris, Joanna Janczewska, Nils Waterstraat
We obtain novel criteria for the existence of local bifurcation for periodic solutions of Hamiltonian systems by a comparison principle of the spectral flow. Our method allows to f…
math.DS2024
Local and Global Bifurcation for Periodic Solutions of Hamiltonian Systems via Comparison Theory for the Spectral Flow
Joanna Janczewska, Maciej Starostka, Nils Waterstraat
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 int…