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Isochronicity conditions for some planar polynomial systems

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

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

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πŸ“œ SIMILAR VOLUMES

Isochronicity conditions for some planar
Isochronicity conditions for some planar polynomial systems II
✍ Magali Bardet; Islam Boussaada; A. Raouf Chouikha; Jean-Marie Strelcyn πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 French βš– 176 KB

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 LiΓ©nard 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

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