查询词典 bifurcation theory

Further, the bifurcation diagram and the contour maps of vertical velocity field, streamlines, temperature field, concentration field and sideview shadowgraph intensities corresponding to the convection patterns of three Rayleigh numbers along the bifurcation upper branch were given.

进一步，我们给出了分叉曲线及其沿分叉曲线的上部分支三个Rayleigh数对应的对流图案的垂直速度场，流线，温度场，浓度场和Shadowgraph强度的等值线图。

This is a simple pendulum model of the bifurcation behavior of the bifurcation diagram, is my collection, for your reference.

详细说明：这是一个单摆模型的分岔行为的分岔图，是我珍藏的，供大家参考。

Secondly, the existence of chaos in a special class of discrete-time neural network models with sinusoidal activation function in the sense of Devaney with some parameters of the systems entering some regions are rigorously presented by means of anti-integrable limit method. Whats more, period-doubling bifurcation and saddle-node bifurcation in the neuron model are studied.

其次，利用反向可积极限方法证明了一类周期输入输出函数的离散神经网络模型在参数达到一定范围时产生Devaney意义下的混沌，并讨论了其一维情形的神经元模型出现倍周期分支和鞍-结点分支的情况。

Secondly, method of Taylor series is used to approximate the slow manifold and the O approximation of the slow manifold is given; slow dynamics such as saddle node bifurcation which has been proven to be the same as that for the full system is analyzed; at the same time, fast dynamics including bifurcation conditions and domain of attractor of the stable equilibrium are also analyzed; the attracting region which consists of the stable manifold of the unstable equilibrium and stable equilibrium is given; we found that when the inner flux decay increases, the domain of attractor is enlarged.

首先，给出了电力系统SMIB模型的时间尺度分解，得到标准的奇异摄动模型；其次，利用幂级数方法，给出了慢流形的O近似M〓，分析了在慢流形M〓上的慢动态，得到了慢子系统的鞍结分支值，并证明此分支值与原系统的鞍结分支值相同；分析了快子系统的平衡点和全局分支的存在条件，给出由不稳定平衡点的稳定流形与稳定平衡点形成的吸引域；并研究内部电压对稳定域的影响，发现稳定域随内部电压增加而扩大；最后给出整个系统的稳定平衡点的近似吸引域。

After undergoing a chaotic region, the period number will add one, in the same time, magnitude of the subharmonic response increases in sequence as the rotational speed ratio increases. When the rotational speed is below the critical speed, the chaotic bands resulted directly from a perioddoubling bifurcation occur among the successive orders of superharmonic responses, then they can return directly to periodic motion by a reversed period-doubling bifurcation.

在转速小于临界转速的情况下，在分岔图中各个连续阶亚谐运动的转换区中分别都出现了经由一个倍周期分岔直接导致的混沌频带，后又直接由一个逆倍周期分岔转化为周期一的运动，同时在三个混沌频带之间都出现了幅值突跳的现象。

"We decided to quantify the calcium findings in the aorta and stratify calcium by total score, as well as scores in suprarenal, laminar, and bifurcation segments," Dr. Davila said. In general, the highest calcium scores were found in the laminar area, but "these scores did not correlate with a statistically significant increased risk." By contrast, a total calcium score or bifurcation score above the 75th percentile "correlated with a 10-fold increase in risk of cardiac event," he said.

Davila医师表示，我们决定主动脉钙含量的发现、利用总分来分类钙含量，以及肾脏上方、薄层、分支区段的指数；一般而言，指数最高的位置在於层状区域，但是这些指数与心血管风险的增加之间并没有显著的关连；相反的，总钙含量指数或是分支区段指数高於四分位数前75%者，与增加10倍心血管疾病的风险有关。

Here,we choose c as a bifurcation parameter,mainly proof transversality condition,such that we discuss the bifurcation problem of traveling-wave solution.

对这类具有旋转对称性的系统问题行波解的相关性质，已有许多学者做了大量的研究工作。

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。

Moreover, the stability of unfoldings of such kind of bifurcation problems is discussed, and the sufficient condition of an unfolding of a bifurcation problem to be stable is that it is versal unfolding under certain conditions.

得到的这种分歧问题的无穷小稳定与稳定是等价的，而且讨论了这种分歧问题开折的稳定性，得到了一定条件下分歧问题开折稳定的充分必要条件为该开折是通用开折。

Analysis of power spectrum indicates that the characteristic frequency created by the Hopf bifurcation is equal to the generalized winding number of the critical transverse modes just before the bifurcation.

结果表明，耦合振子的同步混沌态可以发生一种Hopf分岔，在Hopf分岔后，系统的功率谱中出现了一个特征频率，其值恰好等于分岔前临界横模的广义旋转数。

Metrorrhagia is also gynaecological problems of common diseases.

崩漏是妇科常见病也是疑难症。

WordFTP gives you the convenience and timesaving you need.

wordftp让您的方便和省时您所需要的。