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Isochronicity conditions for some planar polynomial systems II

✍ Scribed by Magali Bardet; Islam Boussaada; A. Raouf Chouikha; Jean-Marie Strelcyn

Publisher
Elsevier Science
Year
2011
Tongue
French
Weight
176 KB
Volume
135
Category
Article
ISSN
0007-4497

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✦ Synopsis

We study the isochronicity of centers at O ∈ R 2 for systems αΊ‹ = -y + A(x, y), ẏ = x + B(x, y),

where A, B ∈ R[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.

πŸ“œ SIMILAR VOLUMES

A new method to determine isochronous ce
A new method to determine isochronous center conditions for polynomial differential systems
✍ Yirong Liu; Wentao Huang πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 French βš– 120 KB

The computation of period constants is a way to study isochronous center for polynomial differential systems. In this article, a new method to compute period constants is given. The algorithm is recursive and easy to realize with computer algebraic system. As an application, we discuss the center co