کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4610760 1338584 2013 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Planar quasi-homogeneous polynomial differential systems and their integrability
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Planar quasi-homogeneous polynomial differential systems and their integrability
چکیده انگلیسی

In this paper we study the quasi-homogeneous polynomial differential systems and provide an algorithm for obtaining all these systems with a given degree. Using this algorithm we obtain all quasi-homogeneous vector fields of degree 2 and 3.The quasi-homogeneous polynomial differential systems are Liouvillian integrable. In particular, we characterize all the quasi-homogeneous vector fields of degree 2 and 3 having a polynomial, rational or global analytical first integral.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 255, Issue 10, 15 November 2013, Pages 3185–3204
نویسندگان
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