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

Brigita Ferčec and Adam Mahdi

Mathematics and Computers in Simulation (MATCOM), 2013, vol. 87, issue C, 55-67

Abstract: 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.

Keywords: Cyclicity; Limit cycles; Center-focus problem (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:87:y:2013:i:c:p:55-67

DOI: 10.1016/j.matcom.2013.02.003

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