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JOURNALS // Regular and Chaotic Dynamics // Archive

Regul. Chaotic Dyn., 2022 Volume 27, Issue 2, Pages 232–241 (Mi rcd1162)

This article is cited in 1 paper

Alexey Borisov Memorial Volume

The Influence of a Parameter that Controls the Asymmetry of a Potential Energy Surface with an Entrance Channel and Two Potential Wells

Makrina Agaoglouab, Matthaios Katsanikasca, Stephen Wigginsa

a School of Mathematics, University of Bristol, Fry Building, Woodland Road, BS8 1UG Bristol, United Kingdom
b Instituto de Ciencias Matematicas, C/Nicolas Cabrera 13-15, Campus Cantoblanco, 28049 Madrid, Spain
c Research Center for Astronomy and Applied Mathematics, Academy of Athens, Soranou Efesiou 4, GR-11527 Athens, Greece

Abstract: In this paper we study an asymmetric valley-ridge inflection point (VRI) potential, whose energy surface (PES) features two sequential index-1 saddles (the upper and the lower), with one saddle having higher energy than the other, and two potential wells separated by the lower index-1 saddle. We show how the depth and the flatness of our potential changes as we modify the parameter that controls the asymmetry as well as how the branching ratio (ratio of the trajectories that enter each well) is changing as we modify the same parameter and its correlation with the area of the lobes as they have been formed by the stable and unstable manifolds that have been extracted from the gradient of the LD scalar fields.

Keywords: phase space structure, Lagrangian descriptors, chemical reaction dynamics, valley ridge inflection point potential.

MSC: 37N99, 70K44, 70H05, 70H07, 34C45, 34C37

Received: 15.03.2021
Accepted: 26.11.2021

Language: English

DOI: 10.1134/S1560354722020071



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