A cubic system with an invariant triangle surrounding at least one limit cycle

被引：0

作者：

Liu, ZH ^{[1
]}

Sáez, E

Szántó, I

机构：

[1] Changsha Univ Sci & Technol, Dept Math, Changsha 410077, Peoples R China

[2] Univ Tecn Federico Santa Maria, Dept Matemat, Valparaiso, Chile

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2003年 / 7卷 / 02期

关键词：

limit cycles; polynomial systems; existence results;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the existence of a cubic polynomial systems having three real invariant straight lines forming a triangle with at least one limit cycle in the interior.

引用

页码：275 / 281

页数：7

共 11 条

[1]

Bautin N. N., 1954, Prikl. Mat. Meh., V18, P128

[2]

Cherkas L. A., 1972, DIFF URAVN, V8, P1207

[3]

KOOIJ R, 1993, THESIS U TECHNOLOGY

[4] Limit cycles of a cubic Kolmogorov system [J].

Lloyd, NG ;

Pearson, JM ;

Saez, E ;

Szanto, I .

APPLIED MATHEMATICS LETTERS, 1996, 9 (01) :15-18

[5]

LLOYD NG, IN PRESS COMPUTERS M

[6] Cubic Kolmogorov system with invariant straight lines [J].

Sáez, E ;

Szánto, I ;

González-Olivares, E .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 47 (07) :4521-4525

[7]

SUO GJ, 1987, P ORD DIFF EQ CONTR, P216

[8]

*WOLFR RES MATH, 1988, SYST DOING MATH COMP

[9]

YE Y, 1985, ANN DIFFERENTIAL EQU, V1, P201

[10]

YE YQ, 1990, ANN DIFF EQS, V6, P365

← 1 2 →