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https://doi.org/10.1016/j.amc.2014.05.121
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Cite Journal: Applied Mathematics and Computation |  Publication Date: Jun 19, 2014 |
 Citations: 1 |
Affiliation: Henan University of Science and Technology, Linyi University
A class of nilpotent-Poincarè system is discussed in this paper. Center conditions are obtained by methods of inverse integrating factor and theory of rotated vector field. When n>2, we proved that there are 2n+4 small amplitude limit cycles enclosing the origin O(0,0). When n=2, there are 14 limit cycles enclosing the origin O(0,0).
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