A Class of Cubic Systems with Two Centers or Two Foci

Lansun Chen; Zhengyi Lu; Dongming Wang

doi:10.1006/jmaa.1999.6630

A Class of Cubic Systems with Two Centers or Two Foci

Lansun Chen^*
, Zhengyi Lu
, Dongming Wang

^*Corresponding author for this work

CAS - Institute of Applied Mathematics
Sichuan University
Institut IMAG

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

In this paper, the necessary and sufficient conditions for a class of cubic differential systems to possess two centers are given. Some conditions for the systems to have two weak foci are also derived by using the computer algebra system Maple.

Original language	English
Pages (from-to)	154-163
Number of pages	10
Journal	Journal of Mathematical Analysis and Applications
Volume	242
Issue number	2
DOIs	https://doi.org/10.1006/jmaa.1999.6630
State	Published - 15 Feb 2000
Externally published	Yes

Keywords

Center
Focus
Kukles system

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10.1006/jmaa.1999.6630

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title = "A Class of Cubic Systems with Two Centers or Two Foci",

abstract = "In this paper, the necessary and sufficient conditions for a class of cubic differential systems to possess two centers are given. Some conditions for the systems to have two weak foci are also derived by using the computer algebra system Maple.",

keywords = "Center, Focus, Kukles system",

author = "Lansun Chen and Zhengyi Lu and Dongming Wang",

year = "2000",

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pages = "154--163",

journal = "Journal of Mathematical Analysis and Applications",

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TY - JOUR

T1 - A Class of Cubic Systems with Two Centers or Two Foci

AU - Chen, Lansun

AU - Lu, Zhengyi

AU - Wang, Dongming

PY - 2000/2/15

Y1 - 2000/2/15

N2 - In this paper, the necessary and sufficient conditions for a class of cubic differential systems to possess two centers are given. Some conditions for the systems to have two weak foci are also derived by using the computer algebra system Maple.

AB - In this paper, the necessary and sufficient conditions for a class of cubic differential systems to possess two centers are given. Some conditions for the systems to have two weak foci are also derived by using the computer algebra system Maple.

KW - Center

KW - Focus

KW - Kukles system

UR - https://www.scopus.com/pages/publications/0040532247

U2 - 10.1006/jmaa.1999.6630

DO - 10.1006/jmaa.1999.6630

M3 - 文章

AN - SCOPUS:0040532247

SN - 0022-247X

VL - 242

SP - 154

EP - 163

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

A Class of Cubic Systems with Two Centers or Two Foci

Abstract

Keywords

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