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arXiv · 0803.2209

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

Armengol Gasull·Hector Giacomini
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Abstract

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.

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Armengol Gasull, Hector Giacomini. 2008-03-14. Upper bounds for the number of limit cycles of some planar polynomial differential systems. https://arxiv.org/abs/0803.2209

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