دورية أكاديمية
Meandering of trajectories of polynomial vector fields in the affine $n$-space
| العنوان: | Meandering of trajectories of polynomial vector fields in the affine $n$-space |
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| المؤلفون: | Novikov, D., Yakovenko, S. |
| المصدر: | Publicacions Matemàtiques; Vol. 41, Núm. 1 (1997); p. 223-242 |
| Publication Status: | published |
| بيانات النشر: | Publicacions Matemàtiques, 1997. |
| سنة النشر: | 1997 |
| الوصف: | We give an explicit upper bound for the number of isolated intersections between an integral curve of a polynomial vector field in $\Bbb R^n$ and an affine hyperplane. The problem turns out to be closely related to finding an explicit upper bound for the length of ascending chains of polynomial ideals spanned by consecutive derivatives. This exposition constitutes an extended abstract of a forthcoming paper: only the basic steps are outlined here, with all technical details being either completely omitted or at best indicated. |
| نوع الوثيقة: | article |
| وصف الملف: | application/pdf |
| اللغة: | English |
| تدمد: | 2014-4350 0214-1493 |
| Relation: | https://www.raco.cat/index.php/PublicacionsMatematiques/article/view/37893/40478 |
| DOI: | 10.5565/37893 |
| URL الوصول: | https://www.raco.cat/index.php/PublicacionsMatematiques/article/view/37893 |
| رقم الأكسشن: | edsrac.37893 |
| قاعدة البيانات: | RACO (Revistes Catalanes amb Accés Obert) |
| تدمد: | 20144350 02141493 |
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| DOI: | 10.5565/37893 |