Generalized Lyapunov characteristic indicators and corresponding Kolmogorov like entropy of the standard mapping
type: Item
instance of: scholarly article
title: Generalized Lyapunov characteristic indicators and corresponding Kolmogorov like entropy of the standard mapping
zbMATH Open document ID: 0783.58040
DOI: 10.1007/BF00699741
published in: Celestial Mechanics and Dynamical Astronomy
publication date: 1994-04-06T00:00:00Z
review text: Some generalizations of the Lyapunov characteristic indicators, via high moments of the distributions of the local variations of the tangent vectors to the flow, and of Kolmogorov entropy, via Pesin's formula, are discussed. Numerical results, showing the behavior of these generalized characteristics for different typical orbits of the standard map \[ x_ 1=x_ 0+a \sin(x_ 0+y_ 0),\;y_ 1=x_ 0+y_ 0 \pmod{2\pi} \] for different initial conditions and values of the parameter, are described.
Mathematics Subject Classification ID: 37A99
zbMATH DE Number: 429328
zbMATH Keywords: Lyapunov characteristic numbers
zbMATH Keywords: Kolmogorov entropy
zbMATH Keywords: standard mapping
Wikidata QID: Q108439679
author: Claude Froeschlé
author: Christiane Froeschlé
MaRDI profile type: Publication
cites work: Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
cites work: Generalized Lyapunov exponents in high-dimensional chaotic dynamics and products of large random matrices
cites work: Statistical dynamics generated by fluctuations of local Lyapunov exponents.
cites work: Regular and stochastic motion
full work available at URL: https://doi.org/10.1007/bf00699741
OpenAlex ID: W2019837595
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description: scientific article; zbMATH DE number 429328