Isochronous Centers of Lienard Type Equations and Applications
| dc.creator | Chouikha, A. Raouf | |
| dc.date | 2004-10-01 | |
| dc.date | 2005-11-29 | |
| dc.date.accessioned | 2026-07-07T06:38:52Z | |
| dc.date.available | 2026-07-07T06:38:52Z | |
| dc.description | In this work we study the equation $(E) \ddot x + f(x) \dot x^2 + g(x) = 0$ with a center at 0 and investigate conditions of its isochronicity. When $f$ and $g$ are analytic (not necessary odd) a necessary and sufficient condition for the isochronicity of 0 is given. This approach allows us to present an algorithm for obtained conditions for a point of (E) to be an isochronous center. In particular, we find again by another way the isochrones of the quadratic Loud systems $(L_{D,F})$. Some classes of Kukles are also considered. Moreover, we classify a 5-parameters family of reversible cubic systems with isochronous centers. Key Words and phrases: period function, monotonicity, isochronicity, center, polynomial systems. | |
| dc.description | 30 pages | |
| dc.identifier | https://arxiv.org/abs/math/0410022 | |
| dc.identifier | http://arxiv.org/abs/math/0410022 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/100891 | |
| dc.subject | Dynamical Systems | |
| dc.subject | Mathematical Physics | |
| dc.subject | 34C25; 34C35 | |
| dc.title | Isochronous Centers of Lienard Type Equations and Applications | |
| dc.type | text |