کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9501787 1338787 2005 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Integrability and algebraic limit cycles for polynomial differential systems with homogeneous nonlinearities
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Integrability and algebraic limit cycles for polynomial differential systems with homogeneous nonlinearities
چکیده انگلیسی
We consider the class of polynomial differential equations x˙=λx-y+Pn(x,y),y˙=x+λy+Qn(x,y), where Pn and Qn are homogeneous polynomials of degree n. These systems have a focus at the origin if λ≠0, and have either a center or a focus if λ=0. Inside this class we identify a new subclass of Darbouxian integrable systems having either a focus or a center at the origin. Additionally, under generic conditions such Darbouxian integrable systems can have at most one limit cycle, and when it exists is algebraic. For the case n=2 and 3, we present new classes of Darbouxian integrable systems having a focus.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 208, Issue 2, 15 January 2005, Pages 531-545
نویسندگان
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