Center conditions and cyclicity for a family of cubic systems: Computer algebra approach

Using methods of computational algebra we obtain an upper bound for the cyclicity of a family of cubic systems. To that end we overcome the problem of nonradicality of the associated Bautin ideal by moving from the ring of polynomials to a coordinate ring. Finally, we also determine the number of limit cycles bifurcating from each component of the center variety.

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Year of publication:	2013
Authors:	Ferčec, Brigita ; Mahdi, Adam
Published in:	Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 87.2013, C, p. 55-67
Publisher:	Elsevier
Subject:	Cyclicity \| Limit cycles \| Center-focus problem

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011050408