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
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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
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
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