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The bifurcations of the critical points and the role of depth in a symmetric Caldera potential energy surface
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 …
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
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 …
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) …
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 …
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
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 …
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
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 …
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 …
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 …
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 …
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 …
nonstatistical dynamics is arguably the least well understood. In this paper, reactions were …