The Generalization of the Periodic Orbit Dividing Surface for Hamiltonian Systems with Three or More Degrees of Freedom – II

DOI10.1142/S0218127421501881zbMath1481.37070arXiv2106.01141OpenAlexW4200567250WikidataQ114072994 ScholiaQ114072994MaRDI QIDQ5158790

Matthaios Katsanikas, Stephen Wiggins

Publication date: 26 October 2021

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

Full work available at URL: https://arxiv.org/abs/2106.01141

zbMATH Keywords

phase spaceperiodic orbitHamiltonian systemdynamical astronomynormally hyperbolic invariant manifoldchemical reaction dynamicsdividing surface

Mathematics Subject Classification ID

Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46) Computational methods for invariant manifolds of dynamical systems (37M21)

Related Items (4)

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 ⋮ Bifurcation of Dividing Surfaces Constructed from a Pitchfork Bifurcation of Periodic Orbits in a Symmetric Potential Energy Surface with a Post-Transition-State Bifurcation

Cites Work

• Geometrical models of the phase space structures governing reaction dynamics
• 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
• The Generalization of the Periodic Orbit Dividing Surface in Hamiltonian Systems with Three or More Degrees of Freedom – I
• Wigner's dynamical transition state theory in phase space: classical and quantum

This page was built for publication: The Generalization of the Periodic Orbit Dividing Surface for Hamiltonian Systems with Three or More Degrees of Freedom – II