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- W1908486378 abstract "In the present paper we give a positive answer to some questions posed in (39) on the existence of positive Lyapunov exponents for symplectic and Hamiltonian cocycles. Actually, we prove that for an open and dense set of H¨ older symplectic cocycles over a non-uniformly hyperbolic di eomorphism there are non-zero Lyapunov exponents with respect to any invariant ergodic measure with the local product structure. Moreover, we prove that there exists an open and dense set of Hamiltonian linear di erential systems, over a suspension flow with bounded roof function, displaying at least one positive Lyapunov exponent. In consequence, typical cocy- cles over a uniformly hyperbolic flow are chaotic. Finally, we obtain similar results for cocycles over general flows preserving an ergodic, hyperbolic measure with local product structure." @default.
- W1908486378 created "2016-06-24" @default.
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- W1908486378 date "2013-04-13" @default.
- W1908486378 modified "2023-09-27" @default.
- W1908486378 title "POSITIVE LYAPUNOV EXPONENTS FOR HAMILTONIAN LINEAR DIFFERENTIAL SYSTEMS" @default.
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