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Removing zero Lyapunov exponents in volume-preserving flows

Mario Bessa·Jorge Rocha
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Abstract

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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Mario Bessa, Jorge Rocha. 2006-10-18. Removing zero Lyapunov exponents in volume-preserving flows. https://doi.org/10.1088/0951-7715%2F20%2F4%2F011

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