| Integrability and limit cycles of a symmetric 3-dim quadratic system |
| Yongjun Li,Valery G. Romanovski,Dongmei Xiao |
| Keywords:Integrability, limit cycle, bifurcation, polynomial system |
| Abstract: |
| We study periodic solutions and rst integrals in a three-dimensional quadratic system of ODEs. Coecient conditions for existence of centers on center manifolds
are obtained. Some bounds of the number of limit cycles bifurcating from the centers under small perturbations are given. |
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