𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Computation of the Center Isochronism Conditions for Polynomial Systems

✍ Scribed by V. G. Romanovskii; M. Robnik

Book ID
110336402
Publisher
Springer
Year
2002
Tongue
English
Weight
133 KB
Volume
38
Category
Article
ISSN
0012-2661

No coin nor oath required. For personal study only.

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

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