کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9740192 | 1489229 | 2005 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Degenerate equilibria at infinity in the generalized brusselator
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In this paper, we consider a polynomial differential system of p + q degree, which was given from a general multi-molecular reaction in biochemistry as a theoretical problem of concentration kinetics. We analyze qualitative properties of its equilibria at infinity, determining characteristic directions and the numbers of orbits which go towards or away from those equilibria in characteristic directions. In the analysis, the high degree of polynomials and the high degeneracy of equilibria at infinity make so much trouble that both the known blowing-up method and the normal sector method are not effective in some cases. Our difficulties are overcome by discussing a kind of angular regions, which extends the classic normal sectors to more general.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematical and Computer Modelling - Volume 42, Issues 1â2, July 2005, Pages 167-179
Journal: Mathematical and Computer Modelling - Volume 42, Issues 1â2, July 2005, Pages 167-179
نویسندگان
Deqing Huang, Yun Gong, Yilei Tang, Weinian Zhang,