Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1139584 | Mathematics and Computers in Simulation | 2011 | 13 Pages |
Abstract
In this paper, center conditions and bifurcation of limit cycles at the nilpotent critical point in a class of septic polynomial differential systems are investigated. With the help of computer algebra system MATHEMATICA, the first 13 quasi-Lyapunov constants are deduced. As a result, sufficient and necessary conditions in order to have a center are obtained. The result that there exist 13 small amplitude limit cycles created from the three order nilpotent critical point is also proved. Henceforth we give a lower bound of cyclicity of three-order nilpotent critical point for septic Lyapunov systems.
Related Topics
Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
Li Feng, Liu Yirong, Li Hongwei,