Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4627718 | Applied Mathematics and Computation | 2014 | 7 Pages |
Abstract
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>2n>2, we proved that there are 2n+42n+4 small amplitude limit cycles enclosing the origin O(0,0)O(0,0). When n=2n=2, there are 14 limit cycles enclosing the origin O(0,0)O(0,0).
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Feng Li, Yusen Wu,