کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4630424 | 1340599 | 2011 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The center conditions and bifurcation of limit cycles at the infinity for a cubic polynomial system
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: The center conditions and bifurcation of limit cycles at the infinity for a cubic polynomial system The center conditions and bifurcation of limit cycles at the infinity for a cubic polynomial system](/preview/png/4630424.png)
چکیده انگلیسی
In this paper, the problem of center conditions and bifurcation of limit cycles at the infinity for a class of cubic systems are investigated. The method is based on a homeomorphic transformation of the infinity into the origin, the first 21 singular point quantities are obtained by computer algebra system Mathematica, the conditions of the origin to be a center and a 21st order fine focus are derived, respectively. Correspondingly, we construct a cubic system which can bifurcate seven limit cycles from the infinity by a small perturbation of parameters. At the end, we study the isochronous center conditions at the infinity for the cubic system.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 218, Issue 4, 15 October 2011, Pages 1360–1370
Journal: Applied Mathematics and Computation - Volume 218, Issue 4, 15 October 2011, Pages 1360–1370
نویسندگان
Lina Zhang, Yirong Liu, Xuejiao Jiang,