查询词典 bifurcation point

By using center manifold theorem and normal form of maps, we also present formal proofs of the supercritical flip bifurcation at the bifurcation point. Above this threshold, there is a characteristic sequence of bifurcations, leading to chaotic dynamics, which implies that the dynamical behavior of the single species model with birth pulses are very complex.

利用单参数族映射的中心流形定理、正规型和指数积分函数的性质，得到了具非线性出生率或具密度依赖成熟率的混杂矩阵模型正平衡态的存在性和稳定性、超临界分支以及各种复杂现象甚至混沌。

The grazing bifurcation point is found in terms of the conditions for the existence of grazing orbit.The bifurcation diagrams are gained through previous piecewise smooth map and numerical calculation,they are similar structurally.

利用擦边分岔条件找到了此系统的擦边分岔点，利用推导的擦边分岔的分段映射和直接数值仿真获得不连续分岔图，两者得到的分岔图在结构上是类似的。

From LS method and singularity theory GS normal form of the circuit bifurcation solution is obtained, and that noly one circuit solution curve exists near bifurcation point is proved.

利用LS约化方法和奇异性理论，导出了非线性电路解分岔的GS范式，证明了电路转折分岔解附近只有唯一一条解曲线。

In contrast to the situation for a homogeneous isotropic neo-Hookean sphere, it is shown that not only there exists a secondary turning bifurcation point on the cavitated bifurcation solution which bifurcates locally to the left from trivial solution, and also the critical load is smaller than that for the material with no perturbations, as the parameters belong to some regions.

与均匀各向同性的neo-Hookean球体的情况相比，证明了当摄动参数属于某些区域时，从平凡解局部向左分岔的空穴分岔解上存在一个二次转向分岔点，空穴生成时的临界载荷会比无摄动的材料的临界载荷小。

Also the normal form and thediagram of the Hopf bifurcation are deduced with the normal form direct method.Secondly, the influences of the physical and aerodynamic parameter on the type of theHopf bifurcation are analyzed. Study shows that the "hard" structural non-linearitiesand the longer distance of the suspension point and the center of mass render theairfoil safer, whereas the "soft" ones render the airfoil more unsafe.

同样应用规范型直接法，研究得出系统颤振的Hopf分岔解的规范型以及分岔图；其次，研究了系统结构和气动参数对Hopf分岔类型的影响，结果表明，表明具有&硬&弹簧性质的结构及增大悬挂点与质心的距离都有助于提高安全性，而应该避免应用&软&弹簧性质的结构。

In this paper, in order to investigate the sample stability of a class of white noises parametrically excited co-dimension 2 bifurcation system which possesses non-semisimple double zero eigenvalues and then to fix the first bifurcation point, the approach of asymptotic analysis of L.

为考查白噪声参激的具有非半简双零特征值的一类余维二分叉系统的样本稳定性并确定其首次分叉点的位置，本文使用L。

In this thesis, we describe some important properties of the dynamic behaviors of several class of time-discrete models of two neurons, which includes stability, asymptotic stability, the existence and attractability of periodic solutions, Flip-bifurcation and Neimark-Sacker-bifurcation.

本学位论文对几类二元离散神经网络模型的动力学性态进行了定性分析，讨论了这些神经网络模型的稳定性、渐近稳定性、周期解的存在吸引性、Flip-分岔和Neimark-Sacker-分岔，全文共分五章。

In this thesis, we describe some important properties of the dynamic behaviors of several class of time-discrete models of two neurons, which includes stability, asymptotic stability, the existence and attractability of periodic solutions, Flip-bifurcation and Neimark-Sacher-bifurcation.

本学位论文对几类二元离散神经网络模型的动力学性态进行了定性分析，讨论了这些神经网络模型的稳定性、渐近稳定性、周期解的存在吸引性、Flip-分岔和Neimark-Sacker-分岔，全文共分五章。

Based on the results obtained in the theory of bifurcation of map, this dissertation studies the problems of bifurcation in impact vibration systems thoroughly.

本文在映射分叉理论研究的基础上，广泛地探讨了碰撞振动系统的分叉问题。

This is a study to do with VC bifurcation procedure for everyone to do bifurcation diagram reference.

详细说明：这是一个用VC做的研究分岔的程序，可供大家做分岔图时参考。

Liapunov—Schmidt method is one of the most important method in the bifurcation theory.

Liapunov—Schmidt方法是分叉理论的最重要方法之一。

Be courteous -- even when people are most discourteous to you .

要有礼貌──即使当別人对你最不礼貌的时候。