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

DOI10.1142/S021812742130041XzbMath1485.37054arXiv2107.09623OpenAlexW3217611542MaRDI QIDQ5016829

Matthaios Katsanikas, Makrina Agaoglou, Stephen Wiggins

Publication date: 13 December 2021

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

Full work available at URL: https://arxiv.org/abs/2107.09623

zbMATH Keywords

bifurcationphase space structurechemical reaction dynamicsperiodic orbit dividing surfacesinflection point potential

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46)

Related Items (4)

The influence of a parameter that controls the asymmetry of a potential energy surface with an entrance channel and two potential wells ⋮ The Influence of Asymmetry on the Dynamics Associated with a 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

• From Poincaré maps to Lagrangian descriptors: the case of the valley ridge inflection point potential
• Hamiltonian pitchfork bifurcation in transition across index-1 saddles
• Normal modes for nonlinear Hamiltonian systems
• Periodic Solutions of Hamiltonian Systems: A Survey
• Periodic orbits near an equilibrium and a theorem by Alan Weinstein
• The Generalization of the Periodic Orbit Dividing Surface in Hamiltonian Systems with Three or More Degrees of Freedom – I
• Bifurcation of Dividing Surfaces Constructed from a Pitchfork Bifurcation of Periodic Orbits in a Symmetric Potential Energy Surface with a Post-Transition-State Bifurcation
• The Generalization of the Periodic Orbit Dividing Surface for Hamiltonian Systems with Three or More Degrees of Freedom – II
• BIFURCATIONS OF NORMALLY HYPERBOLIC INVARIANT MANIFOLDS IN ANALYTICALLY TRACTABLE MODELS AND CONSEQUENCES FOR REACTION DYNAMICS
• Bifurcations of transition states: Morse bifurcations
• Wigner's dynamical transition state theory in phase space: classical and quantum

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