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A polynomial differential system withnine limit cycles at infinity

✍ Scribed by Wentao Huang; Yirong Liu

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
567 KB
Volume
48
Category
Article
ISSN
0898-1221

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✦ Synopsis

In this article, we give a recursive formula to compute the singular point quantities of a class of seventh-order polynomial systems. The first eleven singular point quantities have been computed with computer algebra system Mathematica, and the conditions for infinity to be a center have been deduced as well. At last, we construct a system that allows the appearance of nine limit cycles in the neighborhood of infnity. (~) 2004 Elsevier Ltd. All rights reserved.

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