|
|
|
|
|
|
 |
|
|
Bifurcation of limit cycles at the equator
|
|
|
|
|
|
|
|
|
|
|
|
| APPLIED MATHEMATICS AND COMPUTATION |
|
|
|
|
|
|
This paper studies center conditions and bifurcation of limit cycles from the equator for a class of polynomial differential system of order seven. By converting real planar system into complex system, we established the relation of focal values of a real system with singular point quantities of its concomitant system, and the recursion formula for the computation of singular point quantities of a complex system at the infinity. Therefore, the first 14 singular point quantities of a complex system at the infinity are deduced by using computer algebra system Mathematica. What's more, the conditions for the infinity of the real system to be a center or 14 degree. ne focus are derived, respectively. A system of order seven that bifurcates 12 limit cycles from the infinity is constructed for the first time.
|
|
|
|
|
|
|
|
|
|
|
|
Polynomial system, Seven order, The equator, Focal value, Singular point quantity, Bifurcation of limit cycles
|
|
|
|
|
|
|
| | | | | |
|
For the newest resources, visit Wolfram Repositories and Archives »
