Communications of the Korean Mathematical Society (대한수학회논문집)
- Volume 11 Issue 2
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- Pages.457-462
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- 1996
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- 1225-1763(pISSN)
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- 2234-3024(eISSN)
Weak attractors and Lyapunov-like functions
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Kim, Jong-Myung
(Department of Mathematics Education, Kwandong University)
;
- Kye, Young-Hee (Department of Mathematics, Koshin University) ;
- Lee, Keon-Hee (Department of Mathematics, Chungnam National University)
- Published : 1996.04.01
Abstract
Recently Hurley [3] proved that if A is a weak attractor of a discrete dyanamical system f then there exists a Lyapunov-like function for A. The purpose of this note is to study whether the converse of the above result does hold or not.