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

DOI10.1142/S0218127421300287zbMath1479.37085OpenAlexW3193943045WikidataQ114073000 ScholiaQ114073000MaRDI QIDQ4958565

Matthaios Katsanikas, Stephen Wiggins

Publication date: 14 September 2021

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

Full work available at URL: https://doi.org/10.1142/s0218127421300287

zbMATH Keywords

phase spaceperiodic orbitHamiltonian systemdynamical astronomynormally hyperbolic invariant manifoldchemical reaction dynamicsdividing surfaces

Mathematics Subject Classification ID

Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46) Computational methods for invariant manifolds of dynamical systems (37M21)

Related Items (5)

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 ⋮ The Generalization of the Periodic Orbit Dividing Surface for Hamiltonian Systems with Three or More Degrees of Freedom – II ⋮ 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
• Wigner's dynamical transition state theory in phase space: classical and quantum

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