Abstract and Applied Analysis

Limit Cycles and Isochronous Centers in a Class of Ninth Degree System

Li Hongwei, Li Feng, and Du Chaoxiong

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Abstract

A class of ninth degree system is studied and the conditions ensuring that its five singular points can be centers and isochronous centers (or linearizable centers) at the same time by exact calculation and strict proof are obtained. What is more, the expressions of Lyapunov constants and periodic constants are simplified, and 21 limit circles could be bifurcated at least.

Article information

Source
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 762751, 8 pages.

Dates
First available in Project Euclid: 27 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393512123

Digital Object Identifier
doi:10.1155/2013/762751

Mathematical Reviews number (MathSciNet)
MR3126794

Zentralblatt MATH identifier
07095343

Citation

Hongwei, Li; Feng, Li; Chaoxiong, Du. Limit Cycles and Isochronous Centers in a Class of Ninth Degree System. Abstr. Appl. Anal. 2013 (2013), Article ID 762751, 8 pages. doi:10.1155/2013/762751. https://projecteuclid.org/euclid.aaa/1393512123


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