Planar polynomial vector fields having first integrals and algebraic limit cycles

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:361

Article

Cao, Jinlong¹  Jiang, Haixia² 

[1] Shanghai Jiao Tong Univ, Financial Engn Res Ctr, Shanghai 200052, Peoples R China

[2] Shanghai Jiao Tong Univ, Coll Life Sci & Biotechnol, Minist Educ, Key Lab Microbial Metab, Shanghai 200240, Peoples R China

关键词: Darboux first integral;    Algebraic limit cycles;   

DOI  :  10.1016/j.jmaa.2009.09.007

来源: Elsevier

【 摘 要 】

With the help of Abel differential equations we obtain a new class of Darboux integrable planar polynomial differential systems, which have degenerate infinity. Moreover such integrable systems may have algebraic limit cycles. Also we present the explicit expressions of these algebraic limit cycles for quintic systems. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free