| ID | 115010 |
| Author |
Moriyasu, Kazumine
Tokushima University
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Sakai, Kazuhiro
Utsunomiya University
Sumi, Naoya
Kumamoto University
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| Keywords | shadowing property
pseudo-orbit
shadowable measure
Axiom A
no-cycle condition
strong transversality condition
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| Content Type |
Journal Article
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| Description | In this paper, the notion of shadowable measures is introduced as a generalization of the shadowing property from the measure theoretical view point, and the set of diffeomorphisms satisfying the notion is considered. The dynamics of the C1 -interior of the set of diffeomorphisms possessing the shadowable measures is characterized as the uniform hyperbolicity.
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| Journal Title |
Axioms
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| ISSN | 20751680
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| Publisher | MDPI
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| Volume | 7
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| Issue | 4
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| Start Page | 93
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| Published Date | 2018-12-07
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| Rights | © 2018 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
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| EDB ID | |
| DOI (Published Version) | |
| URL ( Publisher's Version ) | |
| FullText File | |
| language |
eng
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| TextVersion |
Publisher
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| departments |
Science and Technology
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