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MR1290727 34C35 (34D05 34K20 54H20)
Mischaikow, Konstantin; Smith, Hal; Thieme, Horst R. Asymptotically autonomous semiflows: chain recurrence and Lyapunov functions. Trans. Amer. Math. Soc. 347 (1995), no. 5, 1669–1685.
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