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MR938908 (89h:58140) 58F14 (58F21)
Chow, Shui-Nee; Li, Cheng Zhi; Wang, Duo A simple proof of the uniqueness of periodic orbits in the $1:3$ resonance problem. Proc. Amer. Math. Soc. 105 (1989), no. 4, 1025–1032.
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