Multifractal analysis of tori destruction in a molecular Hamiltonian system

A. M. Tarquis, J. C. Losada, R. M. Benito, and F. Borondo
Phys. Rev. E 65, 016213 – Published 20 December 2001
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Abstract

In this paper, an analysis of the phase space structure of the isomerizing molecular system LiNC/LiCN, using Poincaré surfaces of section and frequency analysis, is presented. The scaling structure of the frequency map in the chaotic region next to the regular part corresponding to the stable linear isomer LiNC is studied using multifractal analysis. This approach is a way to characterize quantitatively the complexity in the mechanism of the tori destruction in a molecular Hamiltonian system that exhibits soft chaos as the vibrational energy of the system increases.

  • Received 2 August 2001

DOI:https://doi.org/10.1103/PhysRevE.65.016213

©2001 American Physical Society

Authors & Affiliations

A. M. Tarquis

  • Departamento de Matemática Aplicada, Escuela Técnica Superior de Ingenieros Agrónomos, Universidad Politécnica de Madrid, 28040 Madrid, Spain

J. C. Losada and R. M. Benito*

  • Departamento de Física y Mecánica, Escuela Técnica Superior de Ingenieros Agrónomos, Universidad Politécnica de Madrid, 28040 Madrid, Spain

F. Borondo

  • Departamento de Química, C–IX, Universidad Autónoma de Madrid, Cantoblanco 28049 Madrid, Spain

  • *Electronic mail: rbenito@fis.etsia.upm.es
  • Electronic mail: f.borondo@uam.es

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Vol. 65, Iss. 1 — January 2002

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