کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
758758 | 896449 | 2011 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Center conditions and bifurcation of limit cycles at three-order nilpotent critical point in a seventh degree Lyapunov system
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی مکانیک
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In this paper, center conditions and bifurcation of limit cycles at the nilpotent critical point in a class of seventh degree system are investigated. With the help of computer algebra system MATHEMATICA, the first 12 quasi Lyapunov constants are deduced. As a result, sufficient and necessary conditions in order to have a center are obtained. The fact that there exist 12 small amplitude limit cycles created from the three order nilpotent critical point is also proved. Henceforth we give a lower bound of cyclicity of three-order nilpotent critical point for seventh degree Lyapunov systems.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 16, Issue 6, June 2011, Pages 2598-2608
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 16, Issue 6, June 2011, Pages 2598-2608
نویسندگان
Feng Li, Yirong Liu, Yusen Wu,