PHASE-TRANSLATION GROUP ACTIONS ON STRONGLY MONOTONE SKEW-PRODUCT SEMIFLOWS

被引：2

作者：

Liu, Qiang

Wang, Yi ^{[1
,2
]}

机构：

[1] Univ Sci & Technol China, Dept Math, Wu Wen Tsun Key Lab Math, Hefei 230026, Anhui, Peoples R China

[2] Univ Helsinki, Dept Math & Stat, FIN-00014 Helsinki, Finland

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2012年 / 364卷 / 07期

关键词：

ORDER-PRESERVING SYSTEMS; ENZYMATIC FUTILE CYCLES; DYNAMICAL-SYSTEMS; DIFFERENTIAL-EQUATIONS; COOPERATIVE SYSTEMS; ASYMPTOTIC-BEHAVIOR; PARABOLIC EQUATIONS; CONVERGENCE; SYMMETRY; STABILITY;

D O I：

10.1090/S0002-9947-2012-05555-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：3781 / 3804

页数：24

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