کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1868186 1038413 2006 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the zeros of the Abelian integrals for a class of Liénard systems
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک و نجوم (عمومی)
پیش نمایش صفحه اول مقاله
On the zeros of the Abelian integrals for a class of Liénard systems
چکیده انگلیسی
A planar polynomial differential system has a finite number of limit cycles. However, finding the upper bound of the number of limit cycles is an open problem for the general nonlinear dynamical systems. In this Letter, we investigated a class of Liénard systems of the form x˙=y, y˙=f(x)+yg(x) with degf=5 and degg=4. We proved that the related elliptic integrals of the Liénard systems have at most three zeros including multiple zeros, which implies that the number of limit cycles bifurcated from the periodic orbits of the unperturbed system is less than or equal to 3.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physics Letters A - Volume 358, Issue 4, 23 October 2006, Pages 262-274
نویسندگان
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