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Complexity, Fractal Dimensions and Topological Entropy in Dynamical Systems

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Book cover Chaotic Dynamics and Transport in Classical and Quantum Systems

Part of the book series: NATO Science Series ((NAII,volume 182))

Abstract

Instability of orbits in dynamical systems is the reason for their complex behavior. Main characteristics of this complexity are ε-complexity, topological entropy and fractal dimension. In this two lectures we give a short introduction to ideas, results and machinery of this part of modern nonlinear dynamics

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Author information

Authors and Affiliations

  1. IICO-UASLP, Av. Karakorum 1470, Lomas 4a., San Luis Potosí SLP, Mexico

    Valentin Affraimovich & Lev Glebsky

Authors
  1. Valentin Affraimovich
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  2. Lev Glebsky
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Editor information

Editors and Affiliations

  1. Ecole Polytechnique, Paris, France

    P. Collet

  2. Université Paris 7-Denis Diderot, France

    M. Courbage  & S. Métens  & 

  3. Space Research Institute, Moscow, Russia

    A. Neishtadt

  4. New-York University, New York, NY, USA

    G. Zaslavsky

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© 2005 Kluwer Academic Publishers

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Affraimovich, V., Glebsky, L. (2005). Complexity, Fractal Dimensions and Topological Entropy in Dynamical Systems. In: Collet, P., Courbage, M., Métens, S., Neishtadt, A., Zaslavsky, G. (eds) Chaotic Dynamics and Transport in Classical and Quantum Systems. NATO Science Series, vol 182. Springer, Dordrecht. https://doi.org/10.1007/1-4020-2947-0_3

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