Detection of Dynamical Matching in a Caldera Hamiltonian System Using Lagrangian Descriptors

DOI10.1142/S0218127420300268zbMath1460.37076arXiv1911.11811OpenAlexW3099091041MaRDI QIDQ5120521

Matthaios Katsanikas, Víctor J. García-Garrido, Stephen Wiggins

Publication date: 15 September 2020

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.11811

zbMATH Keywords

symmetryperiodic orbitHamiltonian systeminvariant manifoldPoincaré sectionchemical reaction dynamicsphase space transportLagrangian descriptorCaldera potential

Mathematics Subject Classification ID

Periodic orbits of vector fields and flows (37C27) Invariant manifold theory for dynamical systems (37D10) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Computational methods for invariant manifolds of dynamical systems (37M21)

Related Items

Phase Space Transport in a Symmetric Caldera Potential with Three Index-1 Saddles and No Minima, The Influence of Asymmetry on the Dynamics Associated with a Caldera Potential Energy Surface, The nature of reactive and non-reactive trajectories for a three dimensional Caldera potential energy surface, Bifurcation of Dividing Surfaces Constructed from Period-Doubling Bifurcations of Periodic Orbits in a Caldera Potential Energy Surface, Painting the phase space of dissipative systems with Lagrangian descriptors, The Bifurcations of the Critical Points and the Role of Depth in a Symmetric Caldera Potential Energy Surface, From Poincaré maps to Lagrangian descriptors: the case of the valley ridge inflection point potential, Bifurcation study on a degenerate double van der Waals cirque potential energy surface using Lagrangian descriptors

Cites Work

• Lagrangian descriptors: a method for revealing phase space structures of general time dependent dynamical systems
• Finding NHIM: identifying high dimensional phase space structures in reaction dynamics using Lagrangian descriptors
• A Theoretical Framework for Lagrangian Descriptors
• Detection of Periodic Orbits in Hamiltonian Systems Using Lagrangian Descriptors
• Phase Space Analysis of the Nonexistence of Dynamical Matching in a Stretched Caldera Potential Energy Surface
• Phase Space Structure and Transport in a Caldera Potential Energy Surface
• Tilting and Squeezing: Phase Space Geometry of Hamiltonian Saddle-Node Bifurcation and its Influence on Chemical Reaction Dynamics