کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
841918 | 1470527 | 2010 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Monodromy, center–focus and integrability problems for quasi-homogeneous polynomial systems
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موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Monodromy, center–focus and integrability problems for quasi-homogeneous polynomial systems Monodromy, center–focus and integrability problems for quasi-homogeneous polynomial systems](/preview/png/841918.png)
چکیده انگلیسی
This paper deals with planar quasi-homogeneous polynomial vector fields, and addresses three major questions: the monodromy, the center–focus and the integrability problems. We characterize the monodromic planar quasi-homogeneous polynomial vector fields, and we give a condition to distinguish between a center and a focus in this case. Also, we provide conditions which characterize the integrability of quasi-homogeneous polynomial systems under non-resonance conditions. The results obtained allow us to analyse two monodromic planar systems with degenerate linear part: one of them with nilpotent linearization, and another one with null linear part.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 72, Issues 3–4, 1 February 2010, Pages 1726–1736
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 72, Issues 3–4, 1 February 2010, Pages 1726–1736
نویسندگان
A. Algaba, E. Freire, E. Gamero, C. García,