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math.CA2014★ 5 cited
Analytic normalization of analytically integrable differential systems near a periodic orbit
Kesheng Wu, Xiang Zhang
For an analytic differential system in with a periodic orbit, we will prove that if the system is analytically integrable around the periodic orbit, i.e. it has …
math.CA2014★ 5 cited
Inverse Jacobian multipliers and Hopf bifurcation on center manifolds
Xiang Zhang
In this paper we consider a class of higher dimensional differential systems in which have a two dimensional center manifold at the origin with a pair of pure imagina…