科研之友
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摘要
Let p be a hyperbolic periodic point of a diffeomorphism f on a compact C-infinity Riemannian manifold M. In this paper we introduce the notion of C-1 stably measure expansiveness of closed f-invariant sets, and that (i) the chain recurrent set R(f) of f is C-1 stably measure expansive if and only if f satisfies both Axiom A and no-cycle condition, and (ii) the homoclinic class H-f(p) of f associated to p is C-1 stably measure expansive if and only if H-f(p) is hyperbolic.
- 出版日期2016-10
