Chapter 2. Regularity in Chaotic Transitions on Two-Basin Landscapes

  1. M. Toda1,
  2. T. Komatsuzaki2,
  3. T. Konishi3,
  4. R. S. Berry4 and
  5. S. A. Rice5
  1. Tamiki Komatsuzaki2 and
  2. R. Stephen Berry4

Published Online: 27 JAN 2005

DOI: 10.1002/0471712531.ch2

Geometric Structures of Phase Space in Multidimensional Chaos: Applications to Chemical Reaction Dynamics in Complex Systems, Volume 130

Geometric Structures of Phase Space in Multidimensional Chaos: Applications to Chemical Reaction Dynamics in Complex Systems, Volume 130

How to Cite

Komatsuzaki, T. and Berry, R. S. (2005) Regularity in Chaotic Transitions on Two-Basin Landscapes, in Geometric Structures of Phase Space in Multidimensional Chaos: Applications to Chemical Reaction Dynamics in Complex Systems, Volume 130 (eds M. Toda, T. Komatsuzaki, T. Konishi, R. S. Berry and S. A. Rice), John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/0471712531.ch2

Editor Information

  1. 1

    Physics Department, Nara Women's University, Nara, 630-8506, Japan

  2. 2

    Nonlinear Science Laboratory, Department of Earth and Planetary Sciences, Faculty of Science, Kobe University, Nada, Kobe, 657-8501, Japan

  3. 3

    Department of Physics, Nagoya University, Nagoya, 464-8602, Japan

  4. 4

    Department of Chemistry, The University of Chicago, Chicago, Illinois 60637, USA

  5. 5

    Department of Chemistry and The James Franck Institute, The University of Chicago, Chicago, Illinois 60637 USA

Author Information

  1. 2

    Nonlinear Science Laboratory, Department of Earth and Planetary Sciences, Faculty of Science, Kobe University, Nada, Kobe, 657-8501, Japan

  2. 4

    Department of Chemistry, The University of Chicago, Chicago, Illinois 60637, USA

Publication History

  1. Published Online: 27 JAN 2005
  2. Published Print: 21 JAN 2005

Book Series:

  1. Advances in Chemical Physics

Book Series Editors:

  1. Stuart A. Rice

Series Editor Information

  1. Department of Chemistry and The James Franck Institute, The University of Chicago, Chicago, Illinois 60637 USA

ISBN Information

Print ISBN: 9780471711582

Online ISBN: 9780471712534

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Keywords:

  • transition state;
  • transition state theory;
  • no-return phase space dividing surface;
  • Lie canonical perturbation theory;
  • normally hyperbolic invariant manifold;
  • reactive island;
  • reactive island theory;
  • unstable periodic orbit

Summary

We review our recent findings of regulatory behaviors in chaotic transitions on two-basin landscapes in the region of saddles and its geometrical interpretation of the phase space to enable us to capture the semi-global aspects of the phase space structure.