查询词典 attractor

Using the measure property of the original space it shows that the quotient space has its self-similar measure, and the support of the measure is the unique attractor of quotient space.

并且利用原空间的测度性质，提出了在商空间中也具有自相似测度，且自相似测度的支撑集就是商空间的唯一的吸引子。

Here,increasing the stability refers to the cases where an equilibrium point changes from the repeller to the attractor following the controlled parameter.

其中物种的续存和灭绝是捕食系统中的两个很重要的概念，已经有很多学者得到了一些很好的结论。

This relation will imply that,to what extent,the position ofan attractor or a repeller of a non-singular Smale flow in a closed 3-manifold depends onthe behavior of the flow on the rest of the manifold.

我们还得到了挠量、一般闭三维流形中链环的Alexander多项式与基本群的表现之间的关系，并由此说明了闭三维流形上Smale流的吸引和排斥闭轨组成的链环的Alexander多项式与流在流形其他部分的行为的依赖关系程度。

Although the unstable manifold of the fast subsystem is different from that of the full system, the stable manifold of the fast subsystem is almost the same as that of the full system, so the domain of attractor of the full system can be given by that of the fast subsystem.

除了理论分析外，同时也给出了数值模拟的结果，包括分支图，轨线，吸引域，各变量的收敛性等。本章给出的稳定平衡点的吸引域对电力系统实行适时控制起到很重要的作用。

Based on the homeomorphous transformation for the model, it can be concluded that if the chaotic attractor for the diagonal is stable for the transverse small perturbation in neighborhood, it should be globally stable in the whole feasible set.

通过对模型的同胚变换可得到：如果对角线上的混沌吸引子在垂直於对角线方向上局部稳定，那麼它在可行集的范围内也全局稳定。

Compared with pseudoperiodic time series, the chaos attractor may reveal a more heterogenous structure.

与伪周期序列相比，混沌吸引子显示出更为复杂的异质拓扑结构。

See [66]. A related concept introduced by Ruelle and Takens was a strange Attractor .

由 Ruelle 和 Takens 提出的一个相关的概念是奇怪吸引子。

In the 1971 paper [90] introducing strange attractor, Ruelle and Takens indicated how the ideas in nonlinear dynamics could be used to explain how turbulence developed in fluid flow.

在1971年文章〔90〕中 Ruelle 和 Takens 引进了奇怪吸引子的概念，指出怎样将非线性动力学中的思想应用于解释流体流动中湍流的产生。

Then, according to phase space reconstruct technique from one-dimensional and multi-dimensional time series, the quantitative criterion and rule of system chaos which combine neural network, analyses, computations and sort are conducted on EEG signals of five kinds of human consciousness activities. The author finds that statistic results of the determinism computation in time series indicate that chaos characteristic may lie in human consciousness activities, and central tendency measure is consistent with phase graph, so it may become one division way of attractor; approximate entropy of different subjects exists discrepancy; correlation dimension and Lyapunov exponent of different consciousness activities indicate that attractors of human activities are all fractional; nonlinear quantitative criterion and rule, which unites neural network, can distinguish different styles of consciousness activity in principle, and the result of sortation takes on that consciousness activity type of arithmetic is distinguished more easily than that of abstract.

采用一维与多维时间序列相空间重构技术和系统混沌的定量判据准则，结合神经网络，对五种思维作业方式的脑电信号进行了分析、计算与分类，发现确定性计算的统计结果表明人类的意识活动中可能蕴含混沌特性，中心趋向测量(Central Tendency Measure，CTM)与相图吻合较好，可作为EEG吸引子的区分方法之一；功率谱分析反映出单个受试者的各种意识形态的差异很小，但是不同意识活动谱中的活跃频段还是略有差异的；个体之间的近似熵存在差异，同种状态下近似熵大的人可能具有更好的创新性；关联维数和Lyapunov指数的计算结果表明大脑的运动落在具有分维的奇怪吸引子上；非线性量化方法与神经网络相结合，可对人脑思维活动进行较好的分类，并且从分类结果来看数理计算类思维活动较抽象类思维活动有着更好的区分度。

These results in the chapter two are on the basis of theocratical analysis and numerical simulations such as condition for SNB and Hopf bifurcation, bifurcation diagram, trajectories, Lyapunov exponent, Floquet multipliers, dimension of attractor and so on.

本章的结论是根据理论分析和数值模拟的结果，这包括给出SNB和Hopf分支条件，分支图，轨线模拟，Floquet乘子的计算，Lyapunov指数和吸引子的维数的计算等。

We stopped by the old fashion ice cream parlor Manhattan Beach Creamery for some refreshment. The "No Shoes, No Shirt, No Problem" sign on the wall epitomizes the beach lifestyle.

我们去商店区的一家老式冰淇淋店坐坐，墙上挂著「没鞋，没上衣，没问题」的牌子完全捕捉了海滩生活的随性及风格。

"If therefore", argues Bellarmine we can offer our prayers and our satisfactions in behalf of those detained in purgatory, because we are members of the great body of Christ, why may not the Vicar of Christ apply to the same souls the superabundant satisfaction of Christ and his saints--of which he is the dispenser?

" "因此，如果"，认为贝拉明（德indulgentiis ，十四）"我们可以提供我们的祈祷和我们满意的代表那些被拘留在炼狱，因为我们是成员的伟大基督的奥体，为什麼可能不是牧师基督适用於同样的灵魂满意的过剩是耶稣和他的圣人-他是在配药？