Polynomial Vector Fields with Prescribed Algebraic Limit Cycles

被引：1

作者：

Colin Christopher

机构：

[1] University of Plymouth,Department of Mathematics and Statistics

来源：

Geometriae Dedicata | 2001年 / 88卷

关键词：

real plane; algebraic curves; Hilbert's 16th problem;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

For each non-singular real algebraic curve f = 0 of degree m we exhibit an explicit vector field of degree m which has precisely the bounded components of f = 0 as limit cycles. The degree of the system is optimal for a generic class of algebraic curves and improves the significantly the bounds given by Winkel.

引用

页码：255 / 258

页数：3

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