Translation-invariant monotone systems II: Almost periodic/automorphic case

Hu, Hongxiao; Jiang, Jifa

doi:10.1090/S0002-9939-2010-10389-1

Translation-invariant monotone systems II: Almost periodic/automorphic case
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by Hongxiao Hu and Jifa Jiang

Proc. Amer. Math. Soc. 138 (2010), 3997-4007

DOI: https://doi.org/10.1090/S0002-9939-2010-10389-1

Published electronically: May 19, 2010

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Abstract:

This paper studies almost periodic/automorphic monotone systems with positive translation invariance via skew-product flows. It is proved that every bounded solution of such systems is asymptotically almost periodic/automorphic. Applications are made to a chemical reaction network, especially to enzymatic futile cycles with almost periodic/automorphic reaction coefficients.

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