94 citations · 677 across the 51 of their papers we have counts for
8 papers · 2 filters
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…
Reactive Islands for Three Degrees-of-Freedom Hamiltonian Systems
Vladimír Krajňák, Víctor J. García-Garrido, Stephen Wiggins
We develop the geometrical, analytical, and computational framework for reactive island theory for three degrees-of-freedom time-independent Hamiltonian systems. In this setting, t…
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…