Skip to main content
Log in

Generalized Lyapunov characteristic indicators and corresponding Kolmogorov like entropy of the standard mapping

  • Session On Chaos And Stability
  • Published:
Celestial Mechanics and Dynamical Astronomy Aims and scope Submit manuscript

Abstract

Lyapunov characteristic indicators are currently defined as the mean, i.e. the first moment, of the distribution of the local variations of the tangent vector to the flow. Higher moments of the distribution give further informations about the fluctuations around the average.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Benettin, G., Galgani, L., Giorgilli, A. and Strelcyn, J.M.: 1980, “Lyapunov characteristic exponents for smooth dynamical systems; a method for computing all of them”,Meccanica,15

  • Crisanti, A., Paladin, G. and Vulpiani, A.: 1988, “Generalized Lyapunov exponents in high-dimensional chaotic dynamics and products of large random matrices”,Journal of Statistical Physics,53, N° 314.

    Google Scholar 

  • Froeschlé, C.: 1984, “The Lyapunov characteristic exponents and applications”,Journal de Mécanique théorique et appliquée, Numéro spécial.

  • Fujisaka, H.: 1983, “Statistical dynamics generated by fluctuations of local Lyapunov exponents”,Progress of Theoretical Physics,70, N° 5.

  • Lichtenberg A.J., Lieberman M.A.: 1983, “Regular and Stochastic Motion”. Applied Mathematical Sciences Vol.38, Springer Verlag.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Froeschlé, C., Froeschlé, C. & Lohinger, E. Generalized Lyapunov characteristic indicators and corresponding Kolmogorov like entropy of the standard mapping. Celestial Mech Dyn Astr 56, 307–314 (1993). https://doi.org/10.1007/BF00699741

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00699741

Key words

Navigation