Periodic Orbit Dividing Surfaces in Rotating Hamiltonian Systems with Three Degrees of Freedom – II

This paper expands the concept of periodic orbit dividing surfaces within rotating Hamiltonian systems possessing three degrees of freedom. Initially, we detail the implementation of our second method for constructing these surfaces, as outlined in [Katsanikas & Wiggins, 2021b, 2023b], for such systems. Subsequently, we analyze the configuration of these surfaces within a rotating quadratic normal-form Hamiltonian system characterized by three degrees of freedom.