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Evaluation of an upper bound of the maximal lyapunov characteristic number by Monte Carlo integration in the chaotic regions of phase space

Authors
Journal
Chemical Physics
0301-0104
Publisher
Elsevier
Publication Date
Volume
71
Issue
2
Identifiers
DOI: 10.1016/0301-0104(82)87015-8
Disciplines
  • Mathematics

Abstract

Abstract Monte Carlo integration has been used to estimate a stochastic parameter which yields an upper bound for the maximal Lyapunov characteristic number. For 2-D model potentials good agreement is found with the stochastic parameter proposed by Benettin et al. For a realistic potential of ozone the two stochastic parameters differ by a factor of two at the dissociation limit.

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