Phase portraits of reversible linear differential systems with cubic homogeneous polynomial nonlinearities having a non-degenerate center at the origin

被引：2

作者：

Buzzi C.A. ^{[1
]}

Llibre J. ^{[2
]}

Medrado J.C.R. ^{[3
]}

机构：

[1] UNESP-IBILCE, 15054-000 S. J. Rio Preto, Rua C. Colombo

[2] Departament de Matemátiques, Universitat Autónoma de Barcelona, 08193 Bellaterra, Barcelona

[3] IME-UFG, 74001-970, Goîania, Campus Samambaia

来源：

Qualitative Theory of Dynamical Systems | 2009年 / 7卷 / 2期

基金：

巴西圣保罗研究基金会;

关键词：

Cubic vector fields; Phase portrait; Reversible vector fields;

D O I：

10.1007/s12346-008-0021-2

中图分类号：

学科分类号：

摘要：

In this paper we classify the global phase portraits of all reversible linear differential systems with cubic homogeneous polynomial nonlinearities defined in the plane and having a non degenerate center at the origin. The reversibility is given by a linear involution having a fixed set of dimension 1. © 2008 Birkhäuser Verlag Basel/Switzerland.

引用

页码：369 / 403

页数：34

共 25 条

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