The time evolution of the trajectories after the selectivity in a symmetric potential energy surface with a post-transition-state bifurcation

DOI10.1134/S1560354721060137zbMath1490.37068arXiv2108.00985MaRDI QIDQ2074786

Matthaios Katsanikas, Stephen Wiggins, Douglas Haigh, Makrina Agaoglou

Publication date: 10 February 2022

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

Full work available at URL: https://arxiv.org/abs/2108.00985

zbMATH Keywords

periodic orbitsphase space structurehomoclinic and heteroclinic orbitschemical physicsdividing surfaces

Mathematics Subject Classification ID

Hamilton's equations (70H05) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Invariant manifolds for ordinary differential equations (34C45) Homoclinic and heteroclinic trajectories for nonlinear problems in mechanics (70K44) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Nonintegrable systems for problems in Hamiltonian and Lagrangian mechanics (70H07)

Related Items (3)

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

Cites Work

• Normal modes for nonlinear Hamiltonian systems
• Periodic Solutions of Hamiltonian Systems: A Survey
• Periodic orbits near an equilibrium and a theorem by Alan Weinstein
• Direct construction of a dividing surface of minimal flux for multi-degree-of-freedom systems that cannot be recrossed

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