Center and isochronous center at infinity for differential systems.(English)Zbl 1048.34066
Here, center and isochronous center conditions are investigated for differential systems at infinity. The authors give a suitable transformation by which infinity can be transferred into the origin. The properties of infinity are studied using well-known methods which are used for the origin. As an application, the authors discuss the conditions for infinity to be a center or an isochronous center for a class of rational differential systems.
Reviewer: Valery A. Gaiko (Minsk)
MSC:
| 34C05 | Topological structure of integral curves, singular points, limit cycles of ordinary differential equations |
| 34C25 | Periodic solutions to ordinary differential equations |
Cite
Full Text:DOI
References:
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