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

作者：Fercec Brigita; Mahdi Adam^*

来源：Mathematics and Computers in Simulation, 2013, 87: 55-67.

DOI：10.1016/j.matcom.2013.02.003

• Cyclicity
• Limit cycles
• Center-focus problem

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.

• 出版日期2013-1