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Lyapunov exponents of random dynamical systems on grassmannians

Chapter 1: Linear Random Dynamical Systems

Part of the Lecture Notes in Mathematics book series (LNM,volume 1486)

Abstract

We investigate the relations between the Lyapunov exponents of a linear random dynamical system and the Lyapunov exponents of the (nonlinear) systems generated by the linear one on the projective space as well as on the higher Graßmann manifolds.

Keywords

  • Lyapunov Exponent
  • Invariant Measure
  • Projective Space
  • Normal Basis
  • Projective System

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.

Partially supported by Volkswagen-Stiftung. Part of this work was done while the author was with the Institut für Dynamische Systeme, Universität Bremen.

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References

  1. L. Arnold and V. Wihstutz, pp.1–26 in Lyapunov Exponents. Proceedings. Bremen 1984, L. Arnold and V. Wihstutz (eds.), Lecture Notes in Mathematics 1186, Springer, Berlin 1986

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© 1991 Springer-Verlag

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Crauel, H. (1991). Lyapunov exponents of random dynamical systems on grassmannians. In: Arnold, L., Crauel, H., Eckmann, JP. (eds) Lyapunov Exponents. Lecture Notes in Mathematics, vol 1486. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086656

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  • DOI: https://doi.org/10.1007/BFb0086656

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54662-7

  • Online ISBN: 978-3-540-46431-0

  • eBook Packages: Springer Book Archive