Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4631431 | Applied Mathematics and Computation | 2010 | 16 Pages |
Abstract
In this paper, we study the bifurcation of limit cycles from fine focus in Zn-equivariant vector fields. An approach for investigating bifurcation was obtained. In order to show our work is efficacious, an example on bifurcations behavior is given, namely five order singular points values are given in the seventh degree Z8-equivariant systems. We discuss their bifurcation behavior of limit cycles, and show that there are eight fine focuses of five order and five small amplitude limit cycles can bifurcate from each. So 40 small amplitude limit cycles can bifurcate from eight fine focuses under a certain condition. In terms of the number of limit cycles for seventh degree Z8-equivariant systems, our results are good and interesting.
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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Chaoxiong Du, Yirong Liu, Haibo Chen,