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 Volume , Number , , Pages - Zero-Hopf bifurcation in nuclear spin generator system Renxiang Shi,Jiang Yu Keywords:Averaging method, nuclear spin generator, limit cycle, zero-Hopf bifurcation Abstract: By computing we obtain that P1(0, 0, 1) is a zero-Hopf equilibrium point of nuclear spin generator system. We prove that there exist two families of nuclear spin generator system which has the zero-Hopf equilibrium point P1(0, 0, 1). Furthermore we prove that a limit cycle bifurcated from P1(0, 0, 1) by averaging method of one order and second order respectively. PDF      Download reader