The Poincar,-Bendixson Theorem: from Poincar, to the XXIst century

被引：16
作者：
Ciesielski, Krzysztof [1 ]
机构：
[1] Jagiellonian Univ, Math Inst, Fac Math & Comp Sci, PL-30364 Krakow, Poland
来源：
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS | 2012年 / 10卷 / 06期
关键词：
Poincare-Bendixson Theorem; Limit set; Flow; 2-dimensional system; Periodic trajectory; Critical point; Section; SMOOTHING CONTINUOUS FLOWS; BENDIXSON THEOREM; REGULAR FAMILIES; PERIODIC-ORBITS; LIMIT-SETS; EXISTENCE; SYSTEMS; 2-MANIFOLDS; PROPERTY; CURVES;
D O I：
10.2478/s11533-012-0110-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The Poincar,-Bendixson Theorem and the development of the theory are presented - from the papers of Poincar, and Bendixson to modern results.
引用
收藏
页码：2110 / 2128
页数：19
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