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Lyapunov characteristic numbers and Kolmogorov entropy of a four-dimensional mapping

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Il Nuovo Cimento B (1971-1996)

Summary

We continue the study of a four-dimensional symplectic mapping using the Lyapunov characteristic numbers, which appear to be very sensitive indicators of stochasticity. An estimation of the Kolmogorov entropy using a Monte Carlo method to compute Pesin’s formula is given.

Riassunto

Si continua lo studio di una mappatura simplettica quadridimensionale usando i numeri caratteristici di Lyapunov, che appaiono essere indicatori molto sensibili di stocasticità. Si dà una stima dell’entropia di Kolmogorov usando un metodo di Montecarlo per calcolare la formula di Pesin.

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Authors and Affiliations

  1. Observatoire de Nice, B.P. 252, 06007, Nice Cedex, France

    C. Froeschlé & R. Gonczi

  2. Laboratoire de Physique Théorique, Université de Nice, Parc Valrose, 06034, Nice Cedex, France

    R. Gonczi

Authors
  1. C. Froeschlé
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  2. R. Gonczi
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Froeschlé, C., Gonczi, R. Lyapunov characteristic numbers and Kolmogorov entropy of a four-dimensional mapping. Nuov Cim B 55, 59–69 (1980). https://doi.org/10.1007/BF02728376

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  • DOI: https://doi.org/10.1007/BF02728376

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