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3D generating surfaces in Hamiltonian systems with three degrees of freedom–I
In our earlier research (see [Katsanikas & Wiggins,,,,,]), we developed two methods for
creating dividing surfaces, either based on periodic orbits or two-dimensional generating …
creating dividing surfaces, either based on periodic orbits or two-dimensional generating …
2D generating surfaces and dividing surfaces in Hamiltonian systems with three degrees of freedom
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 …
periodic orbit dividing surface for a Hamiltonian system with three or more degrees of …
3D generating surfaces in Hamiltonian systems with three degrees of freedom–II
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 …
new paper, we present a second method for computing three-dimensional generating …
The influence of asymmetry on the dynamics associated with a Caldera potential energy surface
In this paper, we analyze the influence of asymmetry on a Caldera potential energy surface.
We first study the effect of asymmetry on the structure of the periodic orbit dividing surfaces …
We first study the effect of asymmetry on the structure of the periodic orbit dividing surfaces …
Periodic orbit dividing surfaces in a quartic Hamiltonian system with three degrees of freedom–I
In prior work [Katsanikas & Wiggins, 2021a, 2021b, 2023c, 2023d], we introduced two
methodologies for constructing Periodic Orbit Dividing Surfaces (PODS) tailored for …
methodologies for constructing Periodic Orbit Dividing Surfaces (PODS) tailored for …
The Generalization of the Periodic Orbit Dividing Surface for Hamiltonian Systems with Three or More Degrees of Freedom-III
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 …
for the construction of periodic orbit dividing surfaces for Hamiltonian systems with three or …
2D generating surfaces in a quartic Hamiltonian system with three degrees of freedom–I
In previous studies, we developed two techniques aimed at expanding the scope of
constructing a periodic orbit dividing surface within a Hamiltonian system with three or more …
constructing a periodic orbit dividing surface within a Hamiltonian system with three or more …
The generalization of the periodic orbit dividing surface for Hamiltonian systems with three or more degrees of freedom–IV
Recently, we presented two methods of constructing periodic orbit dividing surfaces for
Hamiltonian systems with three or more degrees of freedom [Katsanikas & Wiggins, 2021a …
Hamiltonian systems with three or more degrees of freedom [Katsanikas & Wiggins, 2021a …
Periodic Orbit-Dividing Surfaces in Rotating Hamiltonian Systems with Three Degrees of Freedom–I
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 …
Hamiltonian systems with three degrees of freedom. First, we present how to apply our first …
2D-Generating Surfaces in a Quartic Hamiltonian System with Three Degrees of Freedom–II
In earlier research, we developed two techniques designed to expand the construction of a
periodic orbit dividing surface for Hamiltonian systems with three or more degrees of …
periodic orbit dividing surface for Hamiltonian systems with three or more degrees of …