کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4620851 1339472 2008 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Focus-center problem of planar degenerate system
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Focus-center problem of planar degenerate system
چکیده انگلیسی

In this paper we discuss how to determine a degenerate equilibrium of planar analytic systems to be focus-center type. A method of generalized normal sectors is used to determine orbits in exceptional directions near high degenerate equilibria. We obtain a sufficient and necessary condition for the existence of orbits going to origin in a generalized normal sector in class III. Thus, together with some criterions of orbits going to origin in a generic quasi-sector, we can characterize whether the degenerate equilibrium is of focus-center type in every case. The effectiveness of our methods is shown in an example which has a high degenerate equilibrium.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 345, Issue 2, 15 September 2008, Pages 934-940