Non-nested configuration of algebraic limit cycles in quadratic systems

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:225

Article

Chavarriga, J. ; García, I. A. ; Sorolla, J.

关键词: polynomial differential equations;    Algebraic limit cycles;   

DOI  :  10.1016/j.jde.2006.01.009

来源: Elsevier

【 摘 要 】

This work deals with algebraic limit cycles of planar polynomial differential systems of degree two. More concretely, we show among other facts that a quadratic vector field cannot possess two non-nested algebraic limit cycles contained in different irreducible invariant algebraic curves. (c) 2006 Elsevier Inc. All rights reserved.

【 授权许可】

Free