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C-stably Expansive Sets for Flows
Let X be a C1 vector field on a closed C∞ manifold M . We introduce the concept of C1 stable expansivity for compact Xt-invariant set, and use a flow-version of Mane’s results (Lemma II.3 in ”Mane, R. An ergodic closing lemma. Ann. of Math. (2) 116 (1982), no. 3, 503–540”) on uniformly hyperbolic families of periodic linear differential equations in order to get the hyperbolicity for the C1 sta...
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ژورنال
عنوان ژورنال: Ergodic Theory and Dynamical Systems
سال: 1987
ISSN: 0143-3857,1469-4417
DOI: 10.1017/s0143385700004235