کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4623770 | 1339523 | 2006 | 8 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The criterion of the center-focus for a class of planar perturbed polynomial systems with (2n+1)(2n+1)th degree
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: The criterion of the center-focus for a class of planar perturbed polynomial systems with (2n+1)(2n+1)th degree The criterion of the center-focus for a class of planar perturbed polynomial systems with (2n+1)(2n+1)th degree](/preview/png/4623770.png)
چکیده انگلیسی
In this paper we investigate the problem of center-focus for the systemdxdt=y+∑k=1nP2k+1(x,y),dydt=−x+∑k=1nQ2k+1(x,y) which is regarded as a perturbed one of a planar linear system dxdt=y, dydt=−x (where P2k+1(x,y)P2k+1(x,y), Q2k+1(x,y)Q2k+1(x,y), k=1,2,…,nk=1,2,…,n, are (2k+1)(2k+1)th-degree homogeneous polynomials in (x,y)(x,y)). We shall give a simple and convenient method which can immediately distinguish that the singular point O is a center or fine focus and the stability of the singular point can be determined by the matrices consist of the coefficients of perturbed terms.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 319, Issue 2, 15 July 2006, Pages 732–739
Journal: Journal of Mathematical Analysis and Applications - Volume 319, Issue 2, 15 July 2006, Pages 732–739
نویسندگان
Cheng-qiang Wu,