29 citations · 148 across the 10 of their papers we have counts for
15 papers
The Nature of Reactive and Non-reactive Trajectories for a Three Dimensional Caldera Potential Energy Surface
Matthaios Katsanikas, Stephen Wiggins
We used for the first time the method of periodic orbit dividing surfaces in a non-integrable Hamiltonian system with three degrees of freedom. We have studied the structure of the…
The Influence of a Parameter that Controls the Asymmetry of a Potential Energy Surface with an Entrance Channel and Two Potential Wells
Makrina Agaoglou, Matthaios Katsanikas, Stephen Wiggins
In this paper we study an asymmetric valley-ridge inflection point (VRI) potential, whose energy surface (PES) features two sequential index-1 saddles (the upper and the lower), wi…
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…
The Generalization of the Periodic Orbit Dividing Surface in Hamiltonian Systems with three or more degrees of freedom -- I
M. Katsanikas, S. Wiggins
We present a method that generalizes the periodic orbit dividing surface construction for Hamiltonian systems with three or more degrees of freedom. We construct a torus using as a…
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…
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…