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On Lyapunov Exponents and Rotation Number of Random Linear Hamiltonian Systems

✍ Scribed by Heidrun Teichert

Publisher
John Wiley and Sons
Year
1993
Tongue
English
Weight
617 KB
Volume
164
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

We consider linear Hamiltonian differential systems in R^2__n__^ depending on a stationary ergodic Markov process. The induced processes on the Lagrangian manifolds L~p~ and L~p~βˆ’1, p (1 ≦ p ≦ n) are studied. From this we derive representations for the Lyapunov exponents, especially the lowest non‐negative exponent, and a (suitably defined) rotation number of the system.

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