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arXiv:0803.2209 [math.DS]AbstractReferencesReviewsResources

Upper bounds for the number of limit cycles of some planar polynomial differential systems

Armengol Gasull, Hector Giacomini

Published 2008-03-14Version 1

We give an effective method for controlling the maximum number of limit cycles of some planar polynomial systems. It is based on a suitable choice of a Dulac function and the application of the well-known Bendixson-Dulac Criterion for multiple connected regions. The key point is a new approach to control the sign of the functions involved in the criterion. The method is applied to several examples.

Comments: 14 pages, O figures
Categories: math.DS, math.CA
Subjects: 34C05, 34C07
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