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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.