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Recurrence time statistics in low-dimensional dynamical systems

  • Concepts Of Stochastics And Kinetics
  • Conference paper
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Stochastic Dynamics

Part of the book series: Lecture Notes in Physics ((LNP,volume 484))

Abstract

The dynamics of transitions between the cells of a phase space partition in systems giving rise to quasi-periodic and to chaotic behavior is analyzed, with special emphasis on the statistics of recurrence times.

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References

  • Balakrishnan V., Nicolis G. and Nicolis C. (1996): J. Stat. Phys., in press

    Google Scholar 

  • Barry R.G. and Perry A.H. (1973): Synoptic climatology methods and applications (Methuen and Co, London)

    Google Scholar 

  • Cox D.R. and Miller H.D. (1994): The theory of stochastic processes (Chapman and Hall, London)

    Google Scholar 

  • Hardy G.H. and Wright E.M. (1960): An introduction to the theory of numbers (Oxford University Press, Oxford)

    MATH  Google Scholar 

  • Kac M. (1959): Probability and related topics in physical sciences (Interscience, New York)

    MATH  Google Scholar 

  • Lasota A. and Mackey M. (1985): Probabilistic properties of deterministic systems (Cambridge University Press, Cambridge)

    MATH  Google Scholar 

  • Lorenz E. (1963): J. Atmos. Sci. 20, 130

    Article  ADS  Google Scholar 

  • MacKernan D. and Nicolis G. (1994): Phys. Rev. E50, 988

    ADS  MathSciNet  Google Scholar 

  • Nicolis G. (1995): Introduction to nonlinear science (Cambridge University Press, Cambridge)

    Google Scholar 

  • Nicolis G., Martinez S. and Tirapegui E. (1991): Chaos, Solitons and Fractals 1, 25

    Article  MATH  MathSciNet  ADS  Google Scholar 

  • Nicolis C. (1996): J. Atmos. Sci, submitted

    Google Scholar 

  • Ott E. (1993): Chaos in dynamical systems (Cambridge University Press, Cambridge)

    MATH  Google Scholar 

  • Theunissen M. and Nicolis C. (1996): in preparation

    Google Scholar 

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Author information

Authors and Affiliations

  1. Institut Royal Météorologique de Belgique, 1180, Brussels, Belgium

    C. Nicolis & M. Theunissen

  2. Center for Nonlinear Phenomena and Complex Systems, Université Libre de Bruxelles, C.P. 231, 1050, Brussels, Belgium

    G. Nicolis & M. Theunissen

  3. Department of Physics, Indian Institute of Technology, 600036, Madras, India

    V. Balakrishnan

Authors
  1. C. Nicolis
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  2. G. Nicolis
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  3. V. Balakrishnan
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  4. M. Theunissen
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Editor information

Lutz Schimansky-Geier Thorsten Pöschel

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© 1997 Springer-Verlag

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Nicolis, C., Nicolis, G., Balakrishnan, V., Theunissen, M. (1997). Recurrence time statistics in low-dimensional dynamical systems. In: Schimansky-Geier, L., Pöschel, T. (eds) Stochastic Dynamics. Lecture Notes in Physics, vol 484. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0105598

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  • DOI: https://doi.org/10.1007/BFb0105598

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-62893-4

  • Online ISBN: 978-3-540-69040-5

  • eBook Packages: Springer Book Archive

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