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Global dynamics of generic 3-flows

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In this chapter we present some results from the generic viewpoint, either for C 1 flows on 3-manifolds, or for C1 conservative flows on 3-manifolds. This means that we present some properties satisfied by a generic subset of all vector fields in compact 3-manifolds in the C1 topology.

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Periodic orbit Lyapunov exponent Unstable manifold Global dynamics Lorenz attractor

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Araújo, V., Bessa, M., Pacifico, M.J. (2010). Global Dynamics of Generic 3-Flows. In: Three-Dimensional Flows. Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, vol 53. Springer, Berlin, Heidelberg

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