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arXiv · 2512.24835

A Comparison Principle for Bifurcation of Periodic Solutions of Hamiltonian Systems

Helene Cyris·Joanna Janczewska·Nils Waterstraat
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Abstract

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.

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Helene Cyris, Joanna Janczewska, Nils Waterstraat. 2025-12-31. A Comparison Principle for Bifurcation of Periodic Solutions of Hamiltonian Systems. https://arxiv.org/abs/2512.24835

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