| HOPF BIFURCATION IN A THREE-DIMENSIONAL SYSTEM |
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| 作者姓名： | 李德明 黄克累 |
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| 作者单位： | Beijing University of Aeronautics and Astronautics，Beijing，Beijing University of Aeronautics and Astronautics，Beijing |
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| 基金项目： | Project Supported by the National Natural Science Foundation of China |
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| 摘 要： | In this paper,Liapunor-Schmidt reduction and singularity theory are employed todiscuss Hopf and degenerate Hopf bifurcations in global parametric region in a three-dimensional system x=-βx y,y=-x-βy(1-kz),z=β[α(1-z)-ky~2].Theconditions on existence and stability are given.
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