SHADOWABLE CHAIN COMPONENTS AND HYPERBOLICITY

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. KCI Citation Count: 3

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Bibliographic Details
Published in:Taehan Suhakhoe hoebo 2015, 52(1), , pp.149-157
Main Authors: Lee, Manseob, Lee, Seunghee, Park, Junmi
Format: Article
Language:English
Subjects:
수학
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Summary: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. KCI Citation Count: 3
ISSN:1015-8634
2234-3016
DOI:10.4134/BKMS.2015.52.1.149