The Bifurcations of the Critical Points and the Role of Depth in a Symmetric Caldera Potential Energy Surface

DOI10.1142/S0218127421300342zbMath1481.37056arXiv2105.05649OpenAlexW3162480276MaRDI QIDQ4958592

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Publication date: 14 September 2021

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

Full work available at URL: https://arxiv.org/abs/2105.05649

zbMATH Keywords

Hamiltonian systempitchfork bifurcationCaldera potential energydynamical matching

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Bifurcations of singular points in dynamical systems (37G10) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Bifurcations connected with nontransversal intersection in dynamical systems (37G25)

Related Items (5)

Phase Space Transport in a Symmetric Caldera Potential with Three Index-1 Saddles and No Minima ⋮ 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 ⋮ A Discrete Saccadic Model and Bursting

Cites Work

• Phase Space Analysis of the Nonexistence of Dynamical Matching in a Stretched Caldera Potential Energy Surface
• Phase Space Structure and Transport in a Caldera Potential Energy Surface
• Detection of Dynamical Matching in a Caldera Hamiltonian System Using Lagrangian Descriptors

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