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Isochronous Centers in Planar Polynomial Systems

✍ Scribed by Christopher, C. J.; Devlin, J.

Book ID
118200116
Publisher
Society for Industrial and Applied Mathematics
Year
1997
Tongue
English
Weight
267 KB
Volume
28
Category
Article
ISSN
0036-1410

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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