In this paper, we extend the notion of periodic orbit-dividing surfaces (PODSs) to rotating Hamiltonian systems with three degrees of freedom. First, we present how to apply our first method for the construction of PODSs [ Katsanikas & Wiggins , 2021a , 2023a ] to rotating Hamiltonian systems with three degrees of freedom. Then, we study the structure of these surfaces in a rotating quadratic normal-form Hamiltonian system with three degrees of freedom.
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Katsanikas et al. (2024) studied this question.
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