The nature of reactive and non-reactive trajectories for a three dimensional Caldera potential energy surface

DOI10.1016/j.physd.2022.133293zbMath1498.37101arXiv2204.05025OpenAlexW4223487105MaRDI QIDQ2140124

Stephen Wiggins, Matthaios Katsanikas

Publication date: 20 May 2022

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.05025

zbMATH Keywords

phase space structurechemical reaction dynamicsCaldera potential energy surfaceperiodic orbit dividing surfaces

Mathematics Subject Classification ID

Dynamical systems in solid mechanics (37N15) Chemical and reactive effects in solid mechanics (74F25) Approximation methods and numerical treatment of dynamical systems (37M99) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46)

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 ⋮ Introduction to special issue: Chaos indicators, phase space and chemical reaction dynamics

Cites Work

• Normally hyperbolic invariant manifolds in dynamical systems
• The role of normally hyperbolic invariant manifolds (NHIMS) in the context of the phase space setting for chemical reaction dynamics
• The geometry of reaction dynamics
• 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
• The Generalization of the Periodic Orbit Dividing Surface in Hamiltonian Systems with Three or More Degrees of Freedom – I
• The Bifurcations of the Critical Points and the Role of Depth in a Symmetric Caldera Potential Energy Surface
• Detection of Dynamical Matching in a Caldera Hamiltonian System Using Lagrangian Descriptors
• The Generalization of the Periodic Orbit Dividing Surface for Hamiltonian Systems with Three or More Degrees of Freedom – II