منابع مشابه
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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We call a dynamical system on a measurable metric space measureexpansive if the probability of two orbits remain close each other for all time is negligible (i.e. zero). We extend results of expansive systems on compact metric spaces to the measure-expansive context. For instance, the measureexpansive homeomorphisms are characterized as those homeomorphisms f for which the diagonal is almost in...
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ژورنال
عنوان ژورنال: Ergodic Theory and Dynamical Systems
سال: 2014
ISSN: 0143-3857,1469-4417
DOI: 10.1017/etds.2014.65