92 citations · 414 across the 19 of their papers we have counts for
19 papers
Dynamical Systems Perspective for a Real-Time Response to a Marine Oil Spill
V. J. Garcia-Garrido, A. Ramos, A. M. Mancho +2
This paper discusses the combined use of tools from dynamical systems theory and remote sensing techniques and shows how they are effective instruments which may greatly contribute…
Learning the Chaotic and Regular Nature of Trajectories in Hamiltonian Systems with Lagrangian descriptors
Javier Jiménez López, Víctor José García Garrido
In this paper, we explore the application of Machine Learning techniques, specifically Support Vector Machines (SVM), to unveil the chaotic and regular nature of trajectories in Ha…
The Dynamical Significance of Valley-Ridge Inflection Points
V. J. García-Garrido, S. Wiggins
In this paper we demonstrate that valley-ridge inflection (VRI) points of a potential energy surface (PES) have a dynamical influence on the fate of trajectories of the underlying…
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…
Painting the Phase Space of Dissipative Systems with Lagrangian Descriptors
V. J. García-Garrido, J. García-Luengo
In this paper we apply the method of Lagrangian descriptors to explore the geometrical structures in phase space that govern the dynamics of dissipative systems. We demonstrate thr…
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…
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…
Tuning the Branching Ratio in a Symmetric Potential Energy Surface with a Post-Transition State Bifurcation using External Time Dependence
V. J. García-Garrido, M. Katsanikas, M. Agaoglou +1
Chemical selectivity, as quantified by a branching ratio, is a phenomenon relevant for many organic chemical reactions. It may be exhibited on a potential energy surface that featu…
The Phase Space Mechanism for Selectivity in a Symmetric Potential Energy Surface with a Post-Transition-State Bifurcation
M. Agaoglou, V. J. Garcıa-Garrido, M. Katsanikas +1
Chemical selectivity is a phenomenon displayed by potential energy surfaces (PES) that is relevant for many organic chemical reactions whose PES feature a valley-ridge inflection p…
Phase Space Analysis of the Dynamics on a Potential Energy Surface with an Entrance Channel and Two Potential Wells
M. Katsanikas, V. J. García-Garrido, M. Agaoglou +1
In this paper we unveil the geometrical template of phase space structures that governs transport in a Hamiltonian system described by a potential energy surface with an entrance/e…
Exploring Isomerization Dynamics on a Potential Energy Surface with an Index-2 Saddle using Lagrangian Descriptors
Víctor J. García-Garrido, Makrina Agaoglou, Stephen Wiggins
In this paper we explore the phase space structures governing isomerization dynamics on a potential energy surface with four wells and an index-2 saddle. For this model, we analyze…
Unveiling the Fractal Structure of Julia Sets with Lagrangian Descriptors
Víctor J. García-Garrido
In this paper we explore by means of the method of Lagrangian descriptors the Julia sets arising from complex maps, and we analyze their underlying dynamics. In particular, we take…
The Dynamical Matching Mechanism in Phase Space for Caldera-Type Potential Energy Surfaces
M. Katsanikas, V. J. García-Garrido, S. Wiggins
Dynamical matching occurs in a variety of important organic chemical reactions. It is observed to be a result of a potential energy surface (PES) having specific geometric features…
Detection of Dynamical Matching in a Caldera Hamiltonian System using Lagrangian Descriptors
M. Katsanikas, Víctor J. García-Garrido, S. Wiggins
The goal of this paper is to apply the method of Lagrangian descriptors to reveal the phase space mechanism by which a Caldera-type potential energy surface (PES) exhibits the dyna…
An Extension of Discrete Lagrangian Descriptors for Unbounded Maps
Víctor J. García-Garrido
In this paper we provide an extension for the method of Discrete Lagrangian Descriptors with the purpose of exploring the phase space of unbounded maps. The key idea is to construc…
Tilting and Squeezing: Phase space geometry of Hamiltonian saddle-node bifurcation and its influence on chemical reaction dynamics
Víctor J. García-Garrido, Shibabrat Naik, Stephen Wiggins
In this article we present the influence of a Hamiltonian saddle-node bifurcation on the high-dimensional phase space structures that mediate reaction dynamics. To achieve this goa…
Finding NHIM: Identifying High Dimensional Phase Space Structures in Reaction Dynamics using Lagrangian Descriptors
Shibabrat Naik, Víctor J. García-Garrido, Stephen Wiggins
Phase space structures such as dividing surfaces, normally hyperbolic invariant manifolds, their stable and unstable manifolds have been an integral part of computing quantitative…
A Theoretical Framework for Lagrangian Descriptors
Carlos Lopesino, Francisco Balibrea-Iniesta, Víctor J. García-Garrido +2
This paper provides a theoretical background for Lagrangian Descriptors (LDs). The goal of achieving rigourous proofs that justify the ability of LDs to detect invariant manifolds…
Response to: "Limitations of the Method of Lagrangian Descriptors" [arXiv:1510.04838]
F. Balibrea-Iniesta, J. Curbelo, V. J. García-Garrido +4
This Response is concerned with the recent Comment of Ruiz-Herrera, "Limitations of the Method of Lagrangian Descriptors" [arXiv:1510.04838], criticising the method of Lagrangian D…