Moriyasu, Kazumine Tokushima University Tokushima University Educator and Researcher Directory KAKEN Search Researchers
Sakai, Kazuhiro Utsunomiya University
Sumi, Naoya Kumamoto University
strong transversality condition
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.
© 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/).
|DOI (Published Version)|
|URL ( Publisher's Version )|
axioms_7_4_93.pdf 239 KB
Science and Technology