کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4631431 | 1340622 | 2010 | 16 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The bifurcation of limit cycles in Zn-equivariant vector fields
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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 study the bifurcation of limit cycles from fine focus in Zn-equivariant vector fields. An approach for investigating bifurcation was obtained. In order to show our work is efficacious, an example on bifurcations behavior is given, namely five order singular points values are given in the seventh degree Z8-equivariant systems. We discuss their bifurcation behavior of limit cycles, and show that there are eight fine focuses of five order and five small amplitude limit cycles can bifurcate from each. So 40 small amplitude limit cycles can bifurcate from eight fine focuses under a certain condition. In terms of the number of limit cycles for seventh degree Z8-equivariant systems, our results are good and interesting.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 217, Issue 5, 1 November 2010, Pages 2041-2056
Journal: Applied Mathematics and Computation - Volume 217, Issue 5, 1 November 2010, Pages 2041-2056
نویسندگان
Chaoxiong Du, Yirong Liu, Haibo Chen,