| Volume 6, Number 3, 2016, Pages 817-826 DOI：10.11948/2016052 |
| The center-focus problem and bifurcation of limit cycles in a class of 7th-degree polynomial systems |
| Bo Sang,Qinlong Wang |
| Keywords:Limit cycle, center variety, singular point value,time-reversibility. |
| Abstract: |
| By computing singular point values, the center conditions are established for a class of 7th-degree planar polynomial systems with 15 parameters. It is proved that such systems can have 13 small-amplitude limit cycles in the neighborhood of the origin. To the best of our knowledge, this is the first example of a 7th-degree system having non-homogeneous nonlinearities with thirteen limit cycles bifurcated from a fine focus. |
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