کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4610058 1338542 2015 24 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Center conditions in a switching Bautin system
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Center conditions in a switching Bautin system
چکیده انگلیسی

A new method with an efficient algorithm is developed for computing the Lyapunov constants of planar switching systems, and then applied to study bifurcation of limit cycles in a switching Bautin system. A complete classification on the conditions of a singular point being a center in this Bautin system is obtained. Further, an example of switching systems is constructed to show the existence of 10 small-amplitude limit cycles bifurcating from a center. This is a new lower bound of the maximal number of small-amplitude limit cycles obtained in quadratic switching systems near a singular point.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 259, Issue 3, 5 August 2015, Pages 1203–1226
نویسندگان
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