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20202024
most citedPhase Space Analysis of the Dynamics on a Potential Energy Surface with an Entrance Channel and Two Potential Wells

37 citations · 259 across the 18 of their papers we have counts for

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Showing 2021Show all

7 papers · 1 filter

nlin.CD2021★ 6 cited

The time evolution of the trajectories after the selectivity in a symmetric potential energy surface with a post-transition-state bifurcation

Douglas Haigh, Matthaios Katsanikas, Makrina Agaoglou +1

Selectivity is an important phenomenon in chemical reaction dynamics. This can be quantified by the branching ratio of the trajectories that visit one or the other wells to the tot…

nlin.CD2021

Bifurcation of dividing surfaces constructed from a pitchfork bifurcation of periodic orbits in a symmetric potential energy surface with a post-transition-state bifurcation

Matthaios Katsanikas, Makrina Agaoglou, Stephen Wiggins

In this work we analyze the bifurcation of dividing surfaces that occurs as a result of a pitchfork bifurcation of periodic orbits in a two degrees of freedom Hamiltonian System. T…

nlin.CD2021★ 24 cited

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

Y. Geng, M. Katsanikas, M. Agaoglou +1

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 o…

nlin.CD2021★ 15 cited

Visualizing the Phase Space of the HeI_2 van der Waals Complex using Lagrangian Descriptors

M. Agaoglou, V. J. Garcia-Garrido, M. Katsanikas +1

In this paper we demonstrate the capability of the method of Lagrangian descriptors to unveil the phase space structures that characterize transport in high-dimensional symplectic…

nlin.CD2021

Revealing the phase space structure of Hamiltonian systems using the action

Francisco Gonzalez Montoya, Makrina Agaoglou, Matthaios Katsanikas

In this work, we analyse the properties of the Maupertuis' action as a tool to reveal the phase space structure for Hamiltonian systems. We construct a scalar field with the action…

nlin.CD2021★ 12 cited

From Poincare Maps to Lagrangian Descriptors: The Case of the Valley Ridge Inflection Point Potential

R. Crossley, M. Agaoglou, M. Katsanikas +1

In this paper we compare the method of Lagrangian descriptors with the classical method of Poincare maps for revealing the phase space structure of two degree-of-freedom Hamiltonia…

nlin.CD2021★ 19 cited

The Influence of a Pitchfork Bifurcation of the Critical Points of a Symmetric Caldera Potential Energy Surface on Dynamical Matching

Y. Geng, M. Katsanikas, M. Agaoglou +1

Many organic chemical reactions are governed by potential energy surfaces that have a region with the topographical features of a caldera. If the caldera has a symmetry then trajec…