|
|
|
|
|
|
 |
|
|
Limit cycles and integrability in a class of system with a high-order critical point
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
In this paper, a class of polynomial differential system with high-order critical point are investigated. The system could be changed into a system with a 3-order nilpotent critical point. Finally, an example was given, with the help of computer algebra system MATHEMATICA, the first three quasi-Lyapunov constants are deduced. As a result, sufficient and necessary conditions in order to have a center are obtained. The fact that there three small amplitude limit cycles created from the 3-order nilpotent critical point is also proved.
|
|
|
|
|
|
|
|
|
|
|
|
High-order critical point · Nilpotent, critical point · Center · Focus · Bifurcation of limit, cycle
|
|
|
|
|
|
|
| | | | | |
|
For the newest resources, visit Wolfram Repositories and Archives »
