Sufficient center conditions for some classes of polynomial uniformly isochronous systems
β Scribed by E. P. Volokitin
- Book ID
- 111471243
- Publisher
- Pleiades Publishing
- Year
- 2009
- Tongue
- English
- Weight
- 522 KB
- Volume
- 3
- Category
- Article
- ISSN
- 1990-4789
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We study the isochronicity of centers at O β R 2 for systems αΊ = -y + A(x, y), αΊ = x + B(x, y), where A, B β 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
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