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

Matthaios Katsanikas; Makrina Agaoglou; Stephen Wiggins; Ana M. Mancho

doi:10.1142/S0218127422300233

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

Matthaios Katsanikas, Makrina Agaoglou, Stephen Wiggins, Ana M. Mancho

Research output: Contribution to journal › Article (Academic Journal) › peer-review

18 Citations (Scopus)

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.

Original language	English
Article number	2230023
Pages (from-to)	1-9
Number of pages	9
Journal	International Journal of Bifurcation and Chaos
Volume	32
Issue number	10
DOIs	https://doi.org/10.1142/S0218127422300233
Publication status	Published - 29 Aug 2022

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

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.",

author = "Matthaios Katsanikas and Makrina Agaoglou and Stephen Wiggins and Mancho, \{Ana M.\}",

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AU - Katsanikas, Matthaios

AU - Agaoglou, Makrina

AU - Wiggins, Stephen

AU - Mancho, Ana M.

PY - 2022/8/29

Y1 - 2022/8/29

N2 - 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.

AB - 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.

U2 - 10.1142/S0218127422300233

DO - 10.1142/S0218127422300233

M3 - Article (Academic Journal)

SN - 0218-1274

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EP - 9

JO - International Journal of Bifurcation and Chaos

JF - International Journal of Bifurcation and Chaos

IS - 10

M1 - 2230023

ER -

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

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