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

[21] Visualization of phase-plain portraits of linear homogeneous systems of differential equations with constant coefficients of third order
Vdovina, E. V.
Klushkin, Yu. A.
IZVESTIYA INSTITUTA MATEMATIKI I INFORMATIKI-UDMURTSKOGO GOSUDARSTVENNOGO UNIVERSITETA, 2006, (02): : 35 - 38
[22] Reversible Limit Cycles for Linear Plus Cubic Homogeneous Polynomial Differential SystemReversible Limit Cycles...L. Wang , Y. Zhao
Luping Wang
Yulin Zhao
Qualitative Theory of Dynamical Systems, 2025, 24 (2)
[23] Bifurcations of limit circles and center conditions for a class of non-analytic cubic Z 2 polynomial differential systems
Li, Feng
Liu, Yi Rong
Jin, Yin Lai
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2012, 28 (11) : 2275 - 2288
[24] Bifurcations of Limit Circles and Center Conditions for a Class of Non-analytic Cubic Z2 Polynomial Differential Systems
Feng LI
Yi Rong LIU
Yin Lai JIN
Acta Mathematica Sinica,English Series, 2012, 28 (11) : 2275 - 2288
[25] Bifurcations of limit circles and center conditions for a class of non-analytic cubic Z2 polynomial differential systems
Feng Li
Yi Rong Liu
Yin Lai Jin
Acta Mathematica Sinica, English Series, 2012, 28 : 2275 - 2288

← 1 2 3 →