On C1-generic chaotic systems in three-manifolds

Bessa, Mário

http://hdl.handle.net/10400.2/13901

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Authors

Bessa, Mário

Abstract(s)

Let M be a closed 3-dimensional Riemannian manifold. We exhibit a C1-residual subset of the set of volume-preserving 3-dimensional flows defined on very general manifolds M such that, any flow in this residual has zero metric entropy, has zero Lyapunov exponents and, nevertheless, is strongly chaotic in Devaney’s sense. Moreover, we also prove a corresponding version for the discrete-time case.