94 citations · 677 across the 51 of their papers we have counts for
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Bifurcation of Dividing Surfaces Constructed from Period-Doubling Bifurcations of Periodic Orbits in a Caldera Potential Energy Surface
Matthaios Katsanikas, Makrina Agaoglou, Stephen Wiggins
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…
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…
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…
Bifurcation Study on a Degenerate Double van der Waals Cirque Potential Energy Surface using Lagrangian Descriptors
M. Katsanikas, B. Aguilar Sanjuan, F. Gonzalez Montoya +2
In this paper, we explore the dynamics of a Hamiltonian system after a double van der Waals potential energy surface degenerates into a single well. The energy of the system is inc…
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…