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MR865783 58F08 (54C05 54H20)
Blokh, A. M. Dynamical systems on one-dimensional branched manifolds. I. (Russian) Teor. Funktsiĭ Funktsional. Anal. i Prilozhen. No. 46 (1986), 8--18; translation in J. Soviet Math. 48 (1990), no. 5, 500–508
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