Phase Space Transport in a Symmetric Caldera Potential with Three Index-1 Saddles and No Minima-Reference-Cited by-同舟云学术

Phase Space Transport in a Symmetric Caldera Potential with Three Index-1 Saddles and No Minima

Published:2022-08 Issue:10 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,Agaoglou Makrina³,Wiggins Stephen²,Mancho Ana M.³

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. Instituto de Ciencias Matemáticas, CSIC, C/Nicolás Cabrera 15, Campus Cantoblanco, 28049 Madrid, Spain

Abstract

We apply the method of Lagrangian Descriptors (LDs) to a symmetric Caldera-type potential energy surface which has three index-1 saddles surrounding a relatively flat region that contains no minimum. Using this method we show the phase space transport mechanism that is responsible for the existence and nonexistence of the phenomenon of dynamical matching for this form of Caldera potential energy surface.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127422300233

Reference24 articles.

1. Rings and spirals in barred galaxies â II. Ring and spiral morphology

2. Lagrangian Descriptors for Stochastic Differential Equations: A Tool for Revealing the Phase Portrait of Stochastic Dynamical Systems

3. Lagrangian transport across the upper Arctic waters in the Canada Basin

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