Ten Limit Cycles in a Quintic Lyapunov System
| Main Author: | Li Feng |
|---|---|
| Format: | Article Journal |
| Bahasa: | eng |
| Terbitan: |
, 2011
|
| Subjects: | |
| Online Access: |
https://zenodo.org/record/1071470 |
Daftar Isi:
- In this paper, center conditions and bifurcation of limit cycles at the nilpotent critical point in a class of quintic polynomial differential system are investigated.With the help of computer algebra system MATHEMATICA, the first 10 quasi Lyapunov constants are deduced. As a result, sufficient and necessary conditions in order to have a center are obtained. The fact that there exist 10 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 quintic Lyapunov systems. At last, we give an system which could bifurcate 10 limit circles.