کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4641959 | 1632054 | 2008 | 8 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Limit cycles of polynomial differential systems with homogeneous nonlinearities of degree 4 via the averaging method
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Limit cycles of polynomial differential systems with homogeneous nonlinearities of degree 4 via the averaging method Limit cycles of polynomial differential systems with homogeneous nonlinearities of degree 4 via the averaging method](/preview/png/4641959.png)
چکیده انگلیسی
By using the averaging method, we study the limit cycles for a class of quartic polynomial differential systems as well as their global shape in the plane. More specifically, we analyze the global shape of limit cycles bifurcating from a Hopf bifurcation and also from periodic orbits with linear center x˙=-y, y˙=x. The perturbation of these systems is made inside the class of quartic polynomial differential systems without quadratic and cubic terms.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 220, Issues 1–2, 15 October 2008, Pages 624–631
Journal: Journal of Computational and Applied Mathematics - Volume 220, Issues 1–2, 15 October 2008, Pages 624–631
نویسندگان
Jinlong Cao,