Journal of the Chungcheong Mathematical Society (충청수학회지)
- Volume 20 Issue 3
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- Pages.297-310
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- 2007
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- 1226-3524(pISSN)
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- 2383-6245(eISSN)
CONTINUOUS SHADOWING AND INVERSE SHADOWING FOR FLOWS
- Lee, Keonhee (Department of Mathematics Chungnam National University) ;
- Lee, Manseob (Department of Mathematics Chungnam National University) ;
- Lee, Zoonhee (Department of Mathematics Chungnam National University)
- Received : 2007.07.21
- Published : 2007.09.30
Abstract
The notions of continuous shadowing and inverse shadowing for flows are introduced, and show that an expansive flow on a compact manifold with the shadowing property has the continuous shadowing property. Moreover it is proved that the continuous shadowing property implies the inverse shadowing property.