Whatever system it is, if it has a tipping point, the universal laws of behavior for dynamical systems apply.
无论什么系统，只要它有转折点，都遵循着动力系统行为的普遍法则。
Lindenstrauss, the ICM citation says, "has made far-reaching advances in ergodic theory," which studies the statistical behavior of dynamical systems.
国际数学联盟在颁奖辞中称Lindenstrauss在遍历理论方面取得了意义深远的进展，遍历理论是用于研究动力系统统计行为的数学分支。
This graph shows correspondence between the Mandelbrot set and the logistic map, which explains how complex, chaotic behavior can arise from simple non-linear dynamical equations.
这幅图片展示了曼德尔勃特集合(Mandelbrotset)与离散混沌动力系统(logistic map)之间的一致性，这解释了复杂而无序的行为可以由简单的非线性动态方程序中得出。
This allows dynamical cell processes to be visualised and studied under the microscope.
这就使在显微镜下研究活细胞内的动态过程成为可能。
It is of importance to study dynamical behaviors of these models.
理解这类模型的动力学性质具有非常重要的意义。
In this paper, we mainly discuss the dynamical behavior of a discrete neural model.
本文主要分析了一类离散神经元模型的动力学行为。
In chapter five, we study the possibility of dynamical localization in quantum dot array.
第五章中我们考察了在量子点链中动态局域发生的可能性。
The conclusions are helpful to dynamical design of high-speed and precision gear transmission.
研究结论对于高速、精密齿轮传动的动力学设计具有积极意义。
Computations show that the system has interesting dynamical behaviors such as cusp catastrophe and chaos.
计算表明，这一非线性系统具有尖点突变和混沌等有趣的动力学行为。
Chua's circuit has acquired wide attention because of its simple circuit structure and rich dynamical behaviors.
蔡氏电路由于其简单的电路结构和丰富的动力学特性而获得广泛深入地研究。
The nonlinear dynamical equations of inclined support spring system were obtained under the excitation of rectangular pulse.
以斜支承弹簧系统为研究对象，建立了矩形脉冲激励下系统非线性动力学方程。
Metapopulation can exist by the dynamical balances of the extinction of populations and the recolonization of empty patches.
集合种群通过局部灭绝和重新侵占空斑块之间的动态平衡而续存下去。
Recently, complex dynamical networks have been widely concerned by many scientists from various fields and made great progress.
最近，复杂动力网络受到了不同学科的广泛关注并取得了重大进展。
This method has important academic meaning and value of practical application on fault diagnosis in to-and -fro dynamical machine.
这种方法的提出对内燃机等往复动力机械故障诊断具有重要的理论意义和现实应用价值。
Thus, applying dynamical terms first learned in connection with visible things, we represent molecules as moving, bumping, bouncing.
原先只与可见物体相联系的动力学概念，像运动、碰撞、反弹等，现在也被应用于分子。
On the basis of full understanding, CMF series dynamical fuel mass flow meters for engine can be installed, operated and maintained.
在充分理解的基础上，再对CMF系列发动机瞬时油耗测量仪进行安装、操作和维护。
Finally we use obtained normal form and universal unfolding to discuss codimension 3 degenerate bifurcations of nonlinear dynamical system.
最后利用所得到的规范形和普适开折讨论了非线性动力系统的余维3退化分叉。
Based on the practical data and with the aid of the dynamical and statical methods, the marketing price of coal reserves has been calculated.
本文讨论了矿产储量计价的四种方式，并根据实际资料用静态和动态方法计算了煤炭储量的价格。
Algebraic dynamical method is an effective method to deal with the dynamical evolution of such systems by making use of its algebraic structure.
代数动力学方法便是求解该系统的一种有效方法。该方法利用系统的代数结构使系统按照动力学规律随时间演化。
By using the stochastic dynamical programming principle the dynamical programming equation for minimizing the response of the system is formulated.
利用随机动态规划原理可以为系统响应最小化问题建立动态规划方程。
On account of its wide applications and complexities, the nonlinear studies on continuous dynamical systems have been attached more weight recently.
连续动力系统的非线性动力学研究，由于其应用的广泛性与问题的复杂性，近年来越来越受到重视。
Parameter estimation in dynamical systems, example : least squares fitting of rate constants from batch reactor data, parametric sensitivity analysis.
动态系统之参数估算，范例：利用批式反应器数据做速率常数之最小平方配适，参数灵敏度分析。
In Chapter One, we introduce briefly the historic background and notions of topological dynamical system and some known results about topological entropy.
在第一章中，我们简单地介绍拓扑动力系统的历史背景和基本概念，以及拓扑熵方面的一些已知结果。
In Chapter One, we introduce briefly the historic background and notions of topological dynamical system and some known results about topological entropy.
在第一章中，我们简单地介绍拓扑动力系统的历史背景和基本概念，以及拓扑熵方面的一些已知结果。
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