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Circle maps having an infinite  -limit set which contains a periodic orbit have positive topological entropy |
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| Authors: | Naotsugu Chinen |
| Institution: | Institute of Mathematics, University of Tsukuba, Ibraki 305-8571, Japan |
| Abstract: | Let  be a continuous map from the circle to itself. The main result of this paper is that the topological entropy of  is positive if and only if  has an infinite  -limit set which contains a periodic orbit. |
| Keywords: | $\omega$-limit set circle unstable set homoclinic point nonwandering point topological entropy |
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