The case of the period solution at positive equilibrium is analyzed when a small perturbed term is added into the system. Moreover, the conditions of the existence of Hopf bifurcation for the system are investigated.
第六章,主要研究了一类高维生态系统的Hopf分支问题,讨论系统平衡点的类型及其稳定性,在系统中加入了一个小扰动项后分析正平衡点处周期解情形,研究了存在Hopf分支的条件,最后给出了算例。
参考来源 - 几类多项式微分自治系统的极限环与Hopf分支的研究·2,447,543篇论文数据，部分数据来源于NoteExpress
扰动项具有异方差性的模型称为异方差模型。
The model which has such kind of property is referred to as heteroscedastic regression model.
对一类具有扰动项的退化抛物方程，考虑其解的性质。
The properties of the solution to some degenerate parabolic equation with shift element are considered in this paper.
结果表明，该模型在不加扰动项或调制项时，即存在着混沌演化行为。
The results show that the model can exhibit chaotic behavior without any perturbation or modulation terms.
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