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Chaotic Dynamical Systems

  • Andrea Crisanti
  • Giovanni Paladin
  • Angelo Vulpiani
Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 104)

Abstract

The Characteristic Lyapunov Exponents (CLE) are a natural extension of the linear stability analysis to aperiodic motion in dynamical systems. Roughly speaking, they measure the typical rates of the exponential divergence of nearby trajectories. This sensitive dependence on initial conditions is the main characteristic of deterministic chaos, which renders the forecasting of the dynamics practically impossible since the initial state of the system cannot be known with an infinite precision [Lichtenberg and Liebermann 1983, Eckmann and Ruelle 1985].

Keywords

Lyapunov Exponent Random Matrice Random Matrix Maximum Lyapunov Exponent Lyapunov Spectrum 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1993

Authors and Affiliations

  • Andrea Crisanti
    • 1
  • Giovanni Paladin
    • 2
  • Angelo Vulpiani
    • 1
  1. 1.Dipartimento di FisicaUniversità di RomaRomaItaly
  2. 2.Dipartimento di FisicaUniversità dell’AquilaCoppito, L’AquilaItaly

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