The Influence of Asymmetry on the Dynamics Associated with a Caldera Potential Energy Surface-Reference-Cited by-同舟云学术

The Influence of Asymmetry on the Dynamics Associated with a Caldera Potential Energy Surface

Published:2022-09-30 Issue:12 Volume:32 Page:
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

Katsanikas Matthaios¹²^ORCID,Hillebrand Malcolm³,Skokos Charalampos³,Wiggins Stephen²

Affiliation:

1. Research Center for Astronomy and Applied Mathematics, Academy of Athens, Soranou Efesiou 4, Athens, GR-11527, Greece

2. School of Mathematics, University of Bristol, Fry Building, Woodland Road, Bristol, BS8 1UG, United Kingdom

3. Nonlinear Dynamics and Chaos Group, Department of Mathematics and Applied Mathematics, University of Cape Town, Rondebosch 7701, South Africa

Abstract

In this paper, we analyze the influence of asymmetry on a Caldera potential energy surface. We first study the effect of asymmetry on the structure of the periodic orbit dividing surfaces associated with the unstable periodic orbits of the higher energy index-1 saddles. Then we detect a new type of dynamical matching due to the influence of the asymmetry in the Caldera potential energy surface. Finally, we present the phase space mechanism for this new type of dynamical matching using Lagrangian Descriptors.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127422300300

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