Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5774965 | Journal of Mathematical Analysis and Applications | 2017 | 17 Pages |
Abstract
This paper investigates the bifurcation of critical periods from a cubic rigidly isochronous center under any small polynomial perturbations of degree n. It proves that for n=3,4 and 5, there are at most 2 and 4 critical periods induced by periodic orbits of the unperturbed cubic system respectively, and in each case this upper bound is sharp. Moreover, for any n>5, there are at most [nâ12] critical periods induced by periodic orbits of the unperturbed cubic system. An example is given to show that the upper bound in the case of n=11 can be reached.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Linping Peng, Lianghaolong Lu, Zhaosheng Feng,