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《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:

2013年01期

Page:

16-21

Research Field:

数学

Publishing date:

Info

Title:

Center Determination Problem for a Class of Cubic System with a Pair of Invariant Conjugate Imaginary Straight Lines

Author(s):

Sang Bo

School of Mathematics Sciences,Liaocheng University,Liaocheng 252059,China

Keywords:

cubic differential systems; center conditions; integrating factor; symmetry principle

PACS:

O175.12

DOI:

-

Abstract:

A class of cubic systems with a pair of invariant conjugate imaginary straight lines and a center-focus type singular point,is proved to have a center at the origin if and only if the first five focal values vanish.The presence of a center at the origin is proved by constructing integrating factor formed from invariant algebraic curves or by symmetry principle.

References:

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Memo

Memo:

-

Common functions

Last Update: 2013-03-31