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
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
The center conditions and bifurcation of limit cycles at the infinity for a cubic polynomial system
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
نویسندگان
, , ,