Korean Journal of Mathematics
- Volume 13 Issue 1
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- Pages.91-101
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- 2005
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- 1976-8605(pISSN)
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- 2288-1433(eISSN)
DENSITY OF D-SHADOWING DYNAMICAL SYSTEM
- Kim, J.M. (Department of Mathematics Education Kwandong University) ;
- Kim, S.G. (Department of Mathematics Education Kwandong University)
- Received : 2004.12.27
- Published : 2005.02.28
Abstract
In this paper, we give the notion of the D-shadowing property, D-inverse shadowing property for dynamical systems. and investigate the density of D-shadowing dynamical systems and the D-inverse shadowing dynamical systems. Moreover we study some relationships between the D-shadowing property and other dynamical properties such as expansivity and topological stability.
Keywords
- dynamical system;
- shadowing property;
- D-shadowing property;
- D-inverse shadowing property;
- density;
- expansivity;
- topological stability