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MR1991767 (2004f:37051) 37E10 (28D05 37B40 54H20)
Chinen, Naotsugu Circle maps having an infinite $\omega$-limit set which contains a periodic orbit have positive topological entropy. Proc. Amer. Math. Soc. 131 (2003), no. 11, 3547–3551 (electronic).
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