Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4616830 | Journal of Mathematical Analysis and Applications | 2013 | 17 Pages |
Abstract
In this paper, we prove that the cyclicity of period annuli for system dxdt=y,dydt=−(ax+bx3+cx5) under perturbations of polynomials with degree nn is not more than 54n−1354n−13 (taking into account the multiplicity), where a,b,c∈Ra,b,c∈R with c≠0c≠0 such that the unperturbed systems have at least one center.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Liqin Zhao, Minghui Qi, Changjian Liu,