The bifurcations of the critical points and the role of the depth in a symmetric Caldera potential energy surface

Abstract

In this work, we continue the study of the bifurcations of the critical points in a symmetric Caldera potential energy surface. In particular, we study the influence of the depth of the potential on the trajectory behavior before and after the bifurcations of the critical points. We observe two different types of trajectory behavior: dynamical matching and the non-existence of dynamical matching. Dynamical matching is a phenomenon that limits the way in which a trajectory can exit the Caldera based solely on how it enters the Caldera. Furthermore, we discuss two different types of symmetric Caldera potential energy surface and the transition from the one type to the other through the bifurcations of the critical points.

References in corpus (4)

• Nonstatistical dynamics on the caldera
• Detection of Dynamical Matching in a Caldera Hamiltonian System using Lagrangian Descriptors
• The Dynamical Matching Mechanism in Phase Space for Caldera-Type Potential Energy Surfaces
• The Influence of a Pitchfork Bifurcation of the Critical Points of a Symmetric Caldera Potential Energy Surface on Dynamical Matching

Cited by in corpus (3)

• The Nature of Reactive and Non-reactive Trajectories for a Three Dimensional Caldera Potential Energy Surface
• Phase space transport in a symmetric Caldera potential with three index-1 saddles and no minima
• Bifurcation of Dividing Surfaces Constructed from Period-Doubling Bifurcations of Periodic Orbits in a Caldera Potential Energy Surface