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two bifurcations
相关语句
  二分叉
     Codimension Two Bifurcations and Hopf Bifurcations of an Impacting Vibrating System
     一类碰撞振动系统的余维二分叉和Hopf分叉
短句来源
  “two bifurcations”译为未确定词的双语例句
     The results indicate that there are two bifurcations in the dynamic system of thrust bearings at which the values of the systematic parameter are 1 54 and 3 26 respectively.
     结果表明 ,在推力轴承动力系统中存在着 2次Hopf分岔 ,其系统参数 u分别为 1 5 4和 3 2 6;
短句来源
     EXISTENCE OF PERIODIC ORBITS AND INVARIANT TORI IN CODIMENSION TWO BIFURCATIONS OF THREE DIMENSIONAL SYSTEMS
     三维系统余维二分支中周期轨道与不变环面的存在性
短句来源
     The results can be applied to the construction of phase portraits in the bifurcation set of condimension two bifurcations of flows with double zero eigenvalues.
     其结果可应用于具有双重零特征值时流的余维二分支的分支集的相图构造.
短句来源
     Normal forms and universal unfoldings are discussed of a special kind of static bifurcation When Z 2 symmetry holds,its universal unflodings and the corresponding bifurcation diagrams are given,It is called pitchfork simple bifurcation just because in the case the diagrams have the features of the two bifurcations:the pitchfork bifurcation and the simple bifurcation When Z 2 symmetry is broken,all the four universal unfolodings of codimension 5 in different forms have been deduced by the method of singularity theory
     因在开折参数不等于 0时 ,其分岔图分别具有树枝分岔和简单分岔的特征 ,称该分岔点为半树枝 /半简单分岔点 . 对 Z2 对称性破缺的情况 ,利用奇异性理论 ,导出了余维数为 5的普适开折的所有 4种形式 ,并结合具体的应用给出了其部分分岔图
短句来源
     The methods and results about Hopf bifurcations and four types of codimension two bifurcations for periodic motions in these systems are introduced .
     介绍了对该类系统周期运动的Hopf分岔与四类余维二分岔的研究结果.
  相似匹配句对
     Two.
     二.
短句来源
     Two.
     二、末日意识
短句来源
     Bifurcations of a codimension two system with center symmetry
     关于中心对称的余维2系统的分支
短句来源
     The Bifurcations and phase Portraits of Two Disturbed Hamiltonian Systems
     两类平面Hamilton扰动系统的分技与相图
短句来源
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  two bifurcations
It includes two bifurcations that are missing from the list of Thom's elementary catastrophes.
      
Codimension two bifurcations of symmetric cycles in Hamiltonian systems with an antisymplectic involution
      
Linear codimension-one and two bifurcations of equilibria give rise to several dynamical behaviours, including periodic, homoclinic and heteroclinic orbits.
      
On investigating other commensurabilities of this form for values ofq up to 50 two bifurcations are still found to exist for each.
      
Continuation of non-transversal heteroclinic orbits through parameter space shows the existence of two codimension-two bifurcations points, where the saddle cycle is non-hyperbolic.
      
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The existence and stability of periodic solutions for the two-dimensional system whose unperturbed system is Hamiltonian can be decided by using the signs of Melnikov's function. The results can be applied to the construction of phase portraits in the bifurcation set of condimension two bifurcations of flows with double zero eigenvalues.

用Melnikov函数的符号判断未摄动系统是Hamilton系统的二维系统x′=f(x)+εg(x,a),0<ε<<1,a∈R的周期解的存在性和稳定性.其结果可应用于具有双重零特征值时流的余维二分支的分支集的相图构造.

The stability and bifurcations of a two-dimensional simply supported plate exposed to a supersonic flow are studied. Attention is paid to local behavior of the system near a degenerate equilibrium in which the system has a linear part with double zero eigenvalues. The center manifold and normal form theory are applied to reduce the equation of motion of the system to a simple low-dimensional one near the degenerate system. The main result obtained is that three kinds of codimension and two bifurcations...

The stability and bifurcations of a two-dimensional simply supported plate exposed to a supersonic flow are studied. Attention is paid to local behavior of the system near a degenerate equilibrium in which the system has a linear part with double zero eigenvalues. The center manifold and normal form theory are applied to reduce the equation of motion of the system to a simple low-dimensional one near the degenerate system. The main result obtained is that three kinds of codimension and two bifurcations are found on certain parameter plane in that system. Numerical simulations are performed by using the original four-dimensional equation to confirm the analytical results. Some global behavior of the system is also investigated numerically.

本文研究了两边简支的二维板在其一个侧面处于超音速流中时的局部稳定性和分岔问题。主要考察了在具有两个零特征值的重退化平衡点附近该系统所发生的不稳定现象和分岔现象。利用动力系统理论中的定性简化方法,发现在某参数平面上,此系统可发生3种不同类型的余维数二分岔现象。对各种分岔现象进行了数值模拟,并用数值分析方法研究了局部分岔解的某些全局行为。

In this paper,a spring-mass system impactillg against an infinite large plane is analyzed.We have proved that phenomenons of codimension two bifurcations exist when coefficient of restitution is near one and ratios of frequency near the same special values.method of normal forms, we reduced Poincare maps into normal forms containing two parameters.After studying these normal forms, we obtained period doublillg bifurcations and Hopf bifurcations of period-one and period-two.The results...

In this paper,a spring-mass system impactillg against an infinite large plane is analyzed.We have proved that phenomenons of codimension two bifurcations exist when coefficient of restitution is near one and ratios of frequency near the same special values.method of normal forms, we reduced Poincare maps into normal forms containing two parameters.After studying these normal forms, we obtained period doublillg bifurcations and Hopf bifurcations of period-one and period-two.The results have been verifled by numerical works.

本文研究弹簧质量系统对无穷大平面碰撞振动的分叉问题.证明了在接近完全弹性碰撞和在一些特殊的频率比附近,存在余维二分叉现象.利用映射的正则型理论,将Poincare映射变换成含两个参数的正则型,通过分析该正则型,我们得到周期倍化分叉、周期1点、2点的Hopf分叉.并进行了数值验证.

 
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