In this paper, we extend the notion of periodic orbit-dividing surfaces (PODS) to rotating Hamiltonian systems with two degrees of freedom. First, we present a method that enables us to apply the classical algorithm for the construction of PODS [ Pechukas & McLafferty , 1973 ; Pechukas , 1981 ; Pollak & Pechukas , 1978 ; Pollak , 1985 ] in rotating Hamiltonian systems with two degrees of freedom. Then we study the structure of these surfaces in a rotating quadratic normal-form Hamiltonian system with two degrees of freedom.
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Katsanikas et al. (2024) studied this question.
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