Phase-translation group actions on strongly monotone skew-product semiflows

Liu, Qiang; Wang, Yi

doi:10.1090/S0002-9947-2012-05555-3

Phase-translation group actions on strongly monotone skew-product semiflows
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by Qiang Liu and Yi Wang PDF

Trans. Amer. Math. Soc. 364 (2012), 3781-3804 Request permission

Abstract:

We establish a convergence property for pseudo-bounded forward orbits of strongly monotone skew-product semiflows with invariant phase-translation group actions. The results are then applied to obtain global convergence of certain chemical reaction networks whose associated systems in reaction coordinates are monotone, as well as the dynamics of certain reaction-diffusion systems in time-recurrent structure including periodicity, almost periodicity and almost automorphy.

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