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

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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.
14 pages, O figures

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Dynamical Systems, Classical Analysis and ODEs, 34C05; 34C07

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http://salesiana.dossiersoluciones.com/handle/123456789/156917

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0803.2209
 http://arxiv.org/abs/0803.2209

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arXiv