Home >> Dynamics and Stability of Systems, Volume 14, Number 2

Stability of Oseledets spaces is equivalent to stability of Lyapunov exponents

Author: Ochs G.

Source: Dynamics and Stability of Systems, Volume 14, Number 2, 1 June 1999 , pp. 183-201(19)

Publisher: Taylor and Francis Ltd

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Abstract:

The objects of the multiplicative ergodic theorem (Lyapunov exponents and Oseledets spaces for products of random matrices) play a key role in the local theory of random dynamical systems. In this paper their behaviour under perturbations is investigated. It is shown that stability of Oseledets spaces is equivalent to stability of Lyapunov exponents.

Language: English

Document Type: Research article

Publication date: 1999-06-01

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