English translation for "bogdanov"
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- 波格丹诺夫
Related Translations:
- Example Sentences:
| 1. | The bogdanov - takens bifurcation is studied when there is a unique degenerate positive equilibrium . lastly , we make a numerical analysis 对退化的唯一正平衡点进行研究,得到了bogdanov - takens分支,分支出同宿圈。 | | 2. | The bifurcation analysis of the model depending on all parameter indication that it exhibits numerous kinds of bifurcation phenomena , including the saddle - node bifurcation , the supercritical and subcritical hopf bifurcation , and the lioinoclinic bifurcation . in the generic case , the model has the bifurcation of cusp type ol ' codimension 2 ( i . e . . bogdanov - taken bifurcation ) but for some specific parameter values it has a multiple focus of multiplicity at least 2 . and , we give the global analysis 本文考虑具非单调功能反应函数的捕食者?食饵系统,讨论了系统的bogdanov - taken分支,给出了不同种类的分支现象,包括鞍-结点分支,上临界与下临界hopf分支,和同宿轨分支,并讨论了无穷远点的定性分析,给出了全局结构。 | | 3. | Especially , when the isocline of x is monotone decreasing in 0 < x < 1 , the svstem has no limit cycle and is globally stable ; next , we construct a saddle bifurcation at the boundary equilibrium and a degenerated bogdanov - takens bifurcation at the interior equilibrium by choosing appropriate parameter values in the following two sections , where our work are based on the theory of central manifolds and normal torms . we prove that is a codimention 3 focus - type equilibrium . system ( 6 . 1 ) will have two limit cycles at some appropriate bifurcation parameter values , and have homoclinic or double - homoclinic orbits at some other appropriate bifurcation parameter values ; at last , we study the qualitative properties of the system at infinite in the poincare sphere 因为系统在( 0 , 0 )点处没有定义,这给研究其在( 0 , 0 )附近的动力学性质带来了困难,我们应用文献[ 17 ]中关于研究非线性方程奇点的系列理论和方法,圆满解决了这一问题,给出了第一象限内当t +或t -时,在全参数状态下系统的轨线趋于( 0 , 0 )点的所有可能情况,其相图也得以描绘;并且,系统不存在极限环的几个充分条件我们也予以列出,当x的等倾线在0 x 1范围内递减时,系统不存在极限环,全局渐近稳定;然后,我们以中心流形定理和正规型方法为主要工具,巧妙选择参数,分别构造了一个余维2的鞍点分岔和一个余维3退化bogdanov - takens分岔,证明了平衡点是余维3的焦点型平衡点,存在参数, m ,的值使得系统( 6 . 1 )有两个极限环,还存在参数, m ,的另外值使得系统( 6 . 1 )有同宿轨或双同宿轨。 |
- Similar Words:
- "bogdanof" English translation, "bogdanoff" English translation, "bogdanoiu" English translation, "bogdanor" English translation, "bogdanos" English translation, "bogdanova" English translation, "bogdanovic" English translation, "bogdanovich" English translation, "bogdanovichi" English translation, "bogdanovici" English translation
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