16 citations · 26 across the 10 of their papers we have counts for
10 papers
A dynamical Interpretation of Sequential Decay in Reactive Scattering
Francisco Gonzalez Montoya, Christof Jung, Thomas H. Seligman
The topic of this article is a dynamical explanation of the sequential decay in rearrangement scattering. The essential observation is the behaviour of trajectories close to the ba…
A Geometric Procedure for Computing Differential Characteristics of Multi-phase Electrical Signals using Geometric Algebra
Ahmad H. Eid, Francisco G. Montoya
This paper presents exploratory investigations on the concept of generalized geometrical frequency in electrical systems with an arbitrary number of phases by using Geometric Algeb…
Introduction to special issue: Chaos Indicators, Phase Space and Chemical Reaction Dynamics
Katsanikas Matthaios, Agaoglou Makrina, Francisco Gonzalez Montoya
The study of the phase space of multidimensional systems is one of the central open problems in dynamical systems. Being able to distinguish chaoticity from regularity in nonlinear…
The numerical search for the internal dynamics of NHIMs and their pictorial representation
Francisco Gonzalez Montoya, Christof Jung
The topic of this article is the numerical search of codimension 2 Normally Hyperbolic Invariant Manifolds (NHIM) in Hamiltonian systems with 3 degrees of freedom and their interna…
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…
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…
Transport and roaming on the Double van der Waals Potential Energy Surface
Francisco Gonzalez Montoya, Víctor J. García-Garrido, Broncio Aguilar-Sanjuan +1
This paper explores the phase space structures characterising transport for a double-well van der Waals potential surface. Trajectories are classified as inter-well, intra-well, an…
Phase space structure and escape time dynamics in a Van der Waals model for exothermic reactions
Francisco Gonzalez Montoya, Stephen Wiggins
We study the phase space structures that control the transport in a classical Hamiltonian model for a chemical reaction. This model has been proposed to study the yield of products…
Atom scattering off a vibrating surface: An example of chaotic scattering with three degrees of freedom
Francisco Gonzalez, Florentino Borondo, Christof Jung
In this article, we study the classical chaotic scattering of a He atom off a harmonically vibrating Cu surface. The three degrees of freedom (3- dof) model is studied by first con…
Revealing Roaming on the Double Morse Potential Energy Surface with Lagrangian Descriptors
Francisco Gonzalez Montoya, Stephen Wiggins
In this paper, we analyse the phase space structure of the roaming dynamics in a two degree of freedom potential energy surface consisting of two identical planar Morse potentials…