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A Comparison Principle for Bifurcation of Periodic Solutions of Hamiltonian Systems

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 find the appearance of new solutions by a simple inspection of the coefficients of the system.

preprint2025arXivOpen access
Helene CyrisJoanna JanczewskaNils Waterstraat
math.DSmath.FAmath.SP
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Open access3 authors3 topics
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Helene CyrisJoanna JanczewskaNils Waterstraat

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