Removing zero Lyapunov exponents in volume-preserving flows

Details Removing zero Lyapunov exponents in volume-preserving flows Removing zero Lyapunov exponents in volume-preserving flows

2006-10-18

arxiv.org/abs/math/0610558v1

Mathematics

Dynamical Systems

10 pages

Scientific paper

Baraviera and Bonatti proved that it is possible to perturb, in the c^1
topology, a volume-preserving and partial hyperbolic diffeomorphism in order to
obtain a non-zero sum of all the Lyapunov exponents in the central direction.
In this article we obtain the analogous result for volume-preserving flows.

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