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A quintic polynomial differential system with eleven limit cycles at the infinity

โœ Scribed by Qi Zhang; Yirong Liu

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
225 KB
Volume
53
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

In this article, a recursion formula for computing the singular point quantities of the infinity in a class of quintic polynomial systems is given. The first eleven singular point quantities are computed with the computer algebra system Mathematica. The conditions for the infinity to be a center are derived as well. Finally, a system that allows the appearance of eleven limit cycles in a small enough neighborhood of the infinity is constructed.

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