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Volume 8, Number 6, 2018, Pages 1821-1832                                                                DOI:10.11948/2018.1821
Sixteen large-amplitude limit cycles in a septic system
Lina Zhang,Feng Li,Ahmed Alsaedi
Keywords:Septic system, Infinity, Singular point quantities, Limit cycles.
Abstract:
      In this paper, bifurcation of limit cycles from the infinity of a two-dimensional septic polynomial differential system is investigated. Sufficient and necessary conditions for the infinity to be a center are derived and the fact that there exist 16 large amplitude limit cycles bifurcated from the infinity is proved as well. The study relays on making use of a recursive formula for computing the singular point quantities of the infinity. As far as we know, this is the first example of a septic system with 16 limit cycles bifurcated from the infinity.
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