کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6418085 1339320 2015 24 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Bifurcations of limit cycles in equivariant quintic planar vector fields
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Bifurcations of limit cycles in equivariant quintic planar vector fields
چکیده انگلیسی

In this paper, we obtain 23 limit cycles for a Z3-equivariant near-Hamiltonian system of degree 5 which is the perturbation of a Z6-equivariant quintic Hamiltonian system. The configuration of these limit cycles is new and different from the configuration obtained by H.S.Y. Chan, K.W. Chung and J. Li, where the unperturbed system is a Z3-equivariant quintic Hamiltonian system. Our unperturbed system is different from the unperturbed systems studied by Y. Wu and M. Han. The limit cycles are obtained by Poincaré-Pontryagin theorem and Poincaré-Bendixson theorem.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 422, Issue 1, 1 February 2015, Pages 352-375
نویسندگان
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