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Volume 1, Number 1, 2011, Pages 9-20                                                                DOI:10.11948/2011002
Integrability conditions for complex systems with homogeneous
Brigita Ferčec,Xingwu Chen,Valery G. Romanovski
Keywords:Integrability, center problem, time-reversibility, polynomial vector field , Darbouxintegral.
Abstract:
      In this paper we obtain conditions for the existence  of a local analytic first integral for four eight-parameter families of quintic complex system. We also discuss computational difficulties arising in the study of the problem of integrability for these systems.
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