A STUDY ON ZOLADEK'S EXAMPLE

作者：Yu, Pei^*; Han, Maoan

来源：Journal of Applied Analysis and Computation, 2011, 1(1): 143-153.

• Hilbert's 16th problem
• integrable system
• limit cycle
• focus value
• Hopf bifurcation

In this paper, we consider an example of third-order polynomial planar system, proposed by Zoladek who claimed that this example had eleven small-amplitude limit cycles around a center. We use focus value computation to show that for this example there may exist maximal nine small-amplitude limit cycles around the center due to Hopf bifurcation.

• 出版日期2011
• 单位上海师范大学