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
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Integrability and algebraic limit cycles for polynomial differential systems with homogeneous nonlinearities Integrability and algebraic limit cycles for polynomial differential systems with homogeneous nonlinearities](/preview/png/9501787.png)
چکیده انگلیسی
We consider the class of polynomial differential equations xË=λx-y+Pn(x,y),yË=x+λy+Qn(x,y), where Pn and Qn are homogeneous polynomials of degree n. These systems have a focus at the origin if λâ 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
Journal: Journal of Differential Equations - Volume 208, Issue 2, 15 January 2005, Pages 531-545
نویسندگان
Jaume Giné, Jaume Llibre,