Journal of the Chungcheong Mathematical Society (충청수학회지)
- Volume 15 Issue 1
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- Pages.61-73
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- 2002
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- 1226-3524(pISSN)
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- 2383-6245(eISSN)
INVERSE SHADOWING PROPERTY OF MORSE-SMALE SYSTEMS
- Choi, Taeyoung (Department of Mathematics Chungnam National University) ;
- Lee, Keonhee (Department of Mathematics Chungnam National University)
- Received : 2002.05.16
- Published : 2002.08.01
Abstract
We consider the inverse shadowing property of a dynamical system which is an "inverse" form of the shadowing property of the system. In particular, we show that every Morse-Smale system f on a compact smooth manifold has the inverse shadowing property with respect to the class
Keywords
- Hyperbolic;
- Inverse shadowing property;
- ${\delta}$-method;
- Morse-smale;
- Shadowing property;
- Strong transversality condition