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VOLUME PRESERVING DYNAMICS WITHOUT GENERICITY AND RELATED TOPICS
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 Title & Authors
VOLUME PRESERVING DYNAMICS WITHOUT GENERICITY AND RELATED TOPICS
Choy, Jae-Yoo; Chu, Hahng-Yun; Kim, Min-Kyu;
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 Abstract
In this article, we focus on certain dynamic phenomena in volume-preserving manifolds. Let be a compact manifold with a volume form and be a diffeomorphism of class that preserves . In this paper, we do not assume is -generic. We prove that satisfies the chain transitivity and we also show that, on , the -stable shadowability is equivalent to the hyperbolicity.
 Keywords
hyperbolicity;-stable shadowable;chain recurrence;chain transitive;
 Language
English
 Cited by
1.
Chain Recurrences on Conservative Dynamics,;;

Kyungpook mathematical journal, 2014. vol.54. 2, pp.165-171 crossref(new window)
1.
Chain Recurrences on Conservative Dynamics, Kyungpook mathematical journal, 2014, 54, 2, 165  crossref(new windwow)
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