Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4669029 | Bulletin des Sciences Mathématiques | 2011 | 20 Pages |
Abstract
We study the isochronicity of centers at OâR2 for systemsxË=ây+A(x,y),yË=x+B(x,y), where A,BâR[x,y], which can be reduced to the Liénard type equation. When deg(A)⩽4 and deg(B)⩽4, using the so-called C-algorithm we found 36 new multiparameter families of isochronous centers. For a large class of isochronous centers we provide an explicit general formula for linearization. This paper is a direct continuation of a previous one with the same title [Islam Boussaada, A. Raouf Chouikha, Jean-Marie Strelcyn, Isochronicity conditions for some planar polynomial systems, Bull. Sci. Math. 135 (1) (2011) 89-112], but it can be read independently.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Magali Bardet, Islam Boussaada, A. Raouf Chouikha, Jean-Marie Strelcyn,