کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1891795 1043923 2012 23 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Bifurcation of limit cycles in quadratic Hamiltonian systems with various degree polynomial perturbations
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک آماری و غیرخطی
پیش نمایش صفحه اول مقاله
Bifurcation of limit cycles in quadratic Hamiltonian systems with various degree polynomial perturbations
چکیده انگلیسی
In this paper, we consider bifurcation of limit cycles in planar quadratic Hamiltonian systems with various degree polynomial perturbations. Attention is focused on the limit cycles which may appear in the vicinity of an isolated center, and up to 20th-degree polynomial perturbations are investigated. Restricted to the first-order Melnikov function, the method of focus value computation is used to determine the maximal number, H2(n), of small-amplitude limit cycles which may exist in the neighborhood of such a center. Besides the existing results H2(2) = 2 and H2(3) = 5, we shall show that H2(n)=43(n+1) for n = 3, 4, … , 20.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Chaos, Solitons & Fractals - Volume 45, Issue 6, June 2012, Pages 772-794
نویسندگان
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