کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4610668 1338578 2013 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Convergence on cooperative cascade systems with length one
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Convergence on cooperative cascade systems with length one
چکیده انگلیسی

Motivated by the open problems on the generic convergence of cooperative systems without the assumption of irreducibility independently proposed by Smith and Sontag, this paper investigates the generic convergence for the solutions of cooperative cascade systems with length one. First, by fixing a solution of a base system converging to an equilibrium, we establish both the Nonordering of Limit Sets and the Limit Set Dichotomy for the solutions of the cascade system. Combining these tools with the idea of limiting equation, we then prove the Sequential Limit Set Trichotomy and hence the quasiconvergence in generic meaning. The generic convergent result is finally obtained by improving the Limit Set Dichotomy.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 255, Issue 11, 1 December 2013, Pages 4081–4095
نویسندگان
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