Reversible nilpotent centers with cubic homogeneous nonlinearities

被引：3

作者：

Dukaric, Masa ^{[1
]}

Gine, Jaume ^{[2
]}

Llibre, Jaume ^{[3
]}

机构：

[1] Univ Maribor, Ctr Appl Math & Theoret Phys, SI-2000 Maribor, Slovenia

[2] Univ Lleida, Dept Matemat, Lleida 25001, Catalonia, Spain

[3] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia, Spain

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2016年 / 433卷 / 01期

关键词：

Two dimensional differential systems; Nilpotent centers; Cubic polynomial differential systems; Phase portrait; POLYNOMIAL VECTOR-FIELDS; ANALYTIC INTEGRABILITY; SYSTEMS; FOCUS;

D O I：

10.1016/j.jmaa.2015.07.049

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We provide 13 non-topological equivalent classes of global phase portraits in the Poincare disk of reversible cubic homogeneous systems with a nilpotent center at origin, which complete the classification of the phase portraits of the nilpotent centers with cubic homogeneous nonlinearities. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：305 / 319

页数：15

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