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http://dx.doi.org/10.4134/BKMS.2015.52.1.149

SHADOWABLE CHAIN COMPONENTS AND HYPERBOLICITY  

Lee, Manseob (Department of Mathematics Mokwon University)
Lee, Seunghee (Department of Mathematics Chungnam National University)
Park, Junmi (Department of Mathematics Chungnam National University)
Publication Information
Bulletin of the Korean Mathematical Society / v.52, no.1, 2015 , pp. 149-157 More about this Journal
Abstract
We show that $C^1$-generically, the shadowable chain component of a $C^1$-vector field containing a hyperbolic periodic orbit is hyperbolic if it is locally maximal.
Keywords
hyperbolic; shadowable; chain component;
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Times Cited By KSCI : 1  (Citation Analysis)
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