کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9507291 | 1340776 | 2005 | 16 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Matrix method for linear sequential dynamical systems on digraphs
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In this paper, we introduce the concept of sequential dynamical systems (SDS) on digraphs. We focus on the discussion of linear sequential dynamical systems (LSDS). Matrix method is given in their analysis. Two special LSDS, OR-SDS and PAR-SDS, are particularly analyzed. Some structural properties on the image spaces of [ORD,Ï] and [PARD,Ï] are obtained. The asymptotic behavior of [ORD,Ï] is described in terms of the properties of the digraph D with respect to the ordering Ï. Our results show that LSDS on digraphs have much more interesting properties than those on undirected graphs.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 160, Issue 1, 5 January 2005, Pages 197-212
Journal: Applied Mathematics and Computation - Volume 160, Issue 1, 5 January 2005, Pages 197-212
نویسندگان
William Y.C. Chen, Xueliang Li, Jie Zheng,