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A class of ninth degree system with four isochronous centers

✍ Scribed by Chaoxiong Du; Yirong Liu; Heilong Mi

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
374 KB
Volume
56
Category
Article
ISSN
0898-1221

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✦ Synopsis

In this paper we study a class of ninth degree system and obtain the conditions that its four singular points can be general centers and isochronous centers (or linearizable centers) at the same time by computing carefully and strict proof. What is worth mentioning is that the expressions of Liapunov constants and periodic constants are simpler, and recursive formulas of node point values are given for the first time, which is a new effective criterion for verifying isochronous centers.

πŸ“œ SIMILAR VOLUMES

A class of reversible cubic systems with
A class of reversible cubic systems with an isochronous center
✍ L. CairΓ³; J. Chavarriga; J. GinΓ©; J. Llibre πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 828 KB

We study cubic polynomial differential systems having an isochronous center and an inverse integrating factor formed by two different parallel invariant straight lines. Such systems are time-reversible. We find nine subclasses of such cubic systems, see Theorem 8. We also prove that time-reversible