耿翊翔. 两类四次系统的相图[J]. 云南大学学报(自然科学版), 2003, 25(6): 474-478.
引用本文: 耿翊翔. 两类四次系统的相图[J]. 云南大学学报(自然科学版), 2003, 25(6): 474-478.
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GENG Yi-xiang. Classification on phase portraits of two classes of quartic systems[J]. Journal of Yunnan University: Natural Sciences Edition, 2003, 25(6): 474-478.
Citation: GENG Yi-xiang. Classification on phase portraits of two classes of quartic systems[J]. Journal of Yunnan University: Natural Sciences Edition, 2003, 25(6): 474-478.
shu

两类四次系统的相图

Classification on phase portraits of two classes of quartic systems

    摘要
  • 摘要: 用微分方程定性分析方法和分支方法研究两类四次系统.参数空间被划分,两类系统的相图都被分成3类,具体相图被给出,数值模拟进一步验证了理论结果的正确性.

     

    Abstract: The method of qualitative analysis of differential equation and bifurcation is employed to study two classes of quartic systems.The parameter space is partitioned.The phase portraits are divided into three classes.The concrete phase portraits are given.Numerical simulation shows the correctness of the theory result.

     

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