Geometrical models of the phase space structures governing reaction dynamics

DOI10.1134/S1560354710010016zbMath1229.37046arXiv0906.4914MaRDI QIDQ653271

Stephen Wiggins, Holger Waalkens

Publication date: 9 January 2012

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.4914

zbMATH Keywords

normally hyperbolic invariant manifoldtransition state theorychemical reaction dynamicshigh dimensional Hamiltonian dynamicsphase space structure and geometryPoincaré-Birkhoff normal form theory

Mathematics Subject Classification ID

Related Items (11)

The role of normally hyperbolic invariant manifolds (NHIMS) in the context of the phase space setting for chemical reaction dynamics ⋮ The phase space geometry underlying roaming reaction dynamics ⋮ Bianchi IX dynamics in bouncing cosmologies: homoclinic chaos and the BKL conjecture ⋮ A development scenario connecting the ternary symmetric horseshoe with the binary horseshoe ⋮ Thirty years of turnstiles and transport ⋮ Dynamics Associated with the Normally Hyperbolic Invariant Manifold that Governs the Ionization of Hydrogen in a Circularly Polarized Electric Field ⋮ Finding NHIM: identifying high dimensional phase space structures in reaction dynamics using Lagrangian descriptors ⋮ The chaotic set and the cross section for chaotic scattering in three degrees of freedom ⋮ The Generalization of the Periodic Orbit Dividing Surface for Hamiltonian Systems with Three or More Degrees of Freedom – II ⋮ The Generalization of the Periodic Orbit Dividing Surface in Hamiltonian Systems with Three or More Degrees of Freedom – I ⋮ The Role of Time-Dependent Phase Space Structures in Reaction Dynamics and the No-Recrossing Property of Dividing Surfaces

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