| 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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