In our earlier research (see [Katsanikas & Wiggins,,,,,]), we developed two methods for
creating dividing surfaces, either based on periodic orbits or two-dimensional generating …

In our previous work, we developed two methods for generalizing the construction of a
periodic orbit dividing surface for a Hamiltonian system with three or more degrees of …

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 …

Our paper is a continuation of a previous work referenced as [Katsanikas & Wiggins,]. In this
new paper, we present a second method for computing three-dimensional generating …

The Maslov index of a periodic orbit is an important piece in the semiclassical quantization
of nonintegrable systems, while almost all existing techniques that lead to a rigorous …

In two previous papers [Katsanikas & Wiggins, 2021a, 2021b], we developed two methods
for the construction of periodic orbit dividing surfaces for Hamiltonian systems with three or …

Recently, we presented two methods of constructing periodic orbit dividing surfaces for
Hamiltonian systems with three or more degrees of freedom [Katsanikas & Wiggins, 2021a …

This paper expands the concept of periodic orbit dividing surfaces within rotating
Hamiltonian systems possessing three degrees of freedom. Initially, we detail the …

In prior studies [,,,,], we introduced two methodologies for constructing Periodic Orbit
Dividing Surfaces (PODS) tailored specifically for Hamiltonian systems with three or more …

In prior work [Katsanikas & Wiggins, 2021a, 2021b, 2023c, 2023d], we introduced two
methodologies for constructing Periodic Orbit Dividing Surfaces (PODS) tailored for …