کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9501627 | 1338761 | 2005 | 44 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Geometry of quadratic differential systems in the neighborhood of infinity
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Geometry of quadratic differential systems in the neighborhood of infinity Geometry of quadratic differential systems in the neighborhood of infinity](/preview/png/9501627.png)
چکیده انگلیسی
In this article we give a complete global classification of the class QSess of planar, essentially quadratic differential systems (i.e. defined by relatively prime polynomials and whose points at infinity are not all singular), according to their topological behavior in the vicinity of infinity. This class depends on 12 parameters but due to the action of the affine group and re-scaling of time, the family actually depends on five parameters. Our classification theorem (Theorem 7.1) gives us a complete dictionary connecting very simple integer-valued invariants which encode the geometry of the systems in the vicinity of infinity, with algebraic invariants and comitants which are a powerful tool for computer algebra computations helpful in the route to obtain the full topological classification of the class QS of all quadratic differential systems.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 215, Issue 2, 15 August 2005, Pages 357-400
Journal: Journal of Differential Equations - Volume 215, Issue 2, 15 August 2005, Pages 357-400
نویسندگان
Dana Schlomiuk, Nicolae Vulpe,