The bifurcations of the critical points and the role of depth in a symmetric Caldera potential energy surface

Y Geng, M Katsanikas, M Agaoglou… - International Journal of …, 2021 - World Scientific
In this work, we continue the study of the bifurcations of the critical points in a symmetric
Caldera potential energy surface. In particular, we study the influence of the depth of the …

The influence of asymmetry on the dynamics associated with a Caldera potential energy surface

M Katsanikas, M Hillebrand, C Skokos… - International Journal of …, 2022 - World Scientific
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 …

Dynamical matching in a three-dimensional Caldera potential-energy surface

S Wiggins, M Katsanikas - Physical Review E, 2023 - APS
In a previous paper, we used a recent extension of the periodic-orbit dividing surfaces
method to distinguish the reactive and nonreactive parts in a three-dimensional (3D) …

The nature of reactive and non-reactive trajectories for a three dimensional Caldera potential energy surface

M Katsanikas, S Wiggins - Physica D: Nonlinear Phenomena, 2022 - Elsevier
We used for the first time the method of periodic orbit dividing surfaces (PODS) in a non-
integrable Hamiltonian system with three degrees of freedom. We have studied the structure …

Bifurcation of dividing surfaces constructed from period-doubling bifurcations of periodic orbits in a Caldera potential energy surface

M Katsanikas, M Agaoglou, S Wiggins - International Journal of …, 2022 - World Scientific
In this work we analyze the bifurcation of dividing surfaces that occurs as a result of two
period-doubling bifurcations in a 2D caldera-type potential. We study the structure, the …

Phase space transport in a symmetric Caldera potential with three index-1 saddles and no minima

M Katsanikas, M Agaoglou, S Wiggins… - International Journal of …, 2022 - World Scientific
We apply the method of Lagrangian Descriptors (LDs) to a symmetric Caldera-type potential
energy surface which has three index-1 saddles surrounding a relatively flat region that …

2D generating surfaces in a quartic Hamiltonian system with three degrees of freedom–I

M Katsanikas, F Gonzalez Montoya… - International Journal of …, 2024 - World Scientific
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 …

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

M Katsanikas, S Wiggins - International Journal of Bifurcation and …, 2024 - World Scientific
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 …

2D-Generating Surfaces in a Quartic Hamiltonian System with Three Degrees of Freedom–II

M Katsanikas, FG Montoya, S Wiggins - International Journal of …, 2024 - World Scientific
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 …

Prediction of kinetic product ratios: investigation of a dynamically controlled case

BK Carpenter - The Journal of Physical Chemistry A, 2023 - ACS Publications
Of the various factors influencing kinetically controlled product ratios, the role of
nonstatistical dynamics is arguably the least well understood. In this paper, reactions were …