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Volume , Number , , Pages -                                                                DOI:10.11948/JAAC-2018-0277
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.
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