在算法的初始化阶段，对粒子的位置混沌初始化；
At the initialization stage of algorithm, the location of the particle is initialized by chaos.
该二值序列可以用一个混沌初始值，即混沌序列密钥来生成。
该算法的思想是采用混沌初始化进行改善个体质量和利用混沌扰动避免搜索过程陷入局部极值。
The basic principle of CPSO algorithm is that chaos initialization is adopted to improve individual quality and chaos perturbation is utilized to avoid the search being trapped in local optimum.
一想到被卷入混沌初始的漩涡，我的恐惧与愉悦是何等激烈！那无序的矛盾对称正是混沌独有的几何结构，没有形式亦没有意义！
How great my terror and my joy at the thought of being dragged into the vortex of initial chaos, that Pandemonium of paradoxical symmetry?
两个同源的混沌系统从几乎完全相同的初始状态开始演变，最后划出两个完全不相关的轨迹。
Two identical chaotic systems starting from almost identical initial states, end in completely uncorrelated trajectories.
混沌理论尝试解释在系统中可以和将出现复杂和不可预知的结果事实，系统对其初始条件是敏感的。
Chaos theory attempts to explain the fact that complex and unpredictable results can and will occur in systems that are sensitive to their initial conditions.
混沌对初始条件的敏感性决定了在其可预测范围内，实现长期预测十分困难。
Owing to the strong sensitivity of chaotic system to initial conditions, it is highly difficult to make long term prediction.
这种方法可以应用到任意的两个初始条件不同的离散和连续混沌系统，具有一定的普适性。
The method is proper to any discrete or continuous chaotic systems with different initials, and it can be generally used.
建立了考虑转子转速的新的碰磨力模型，分析了具有初始弯曲和刚度不对称转子系统的碰磨响应，得到了系统参数对系统分叉和混沌响应的影响。
A new model of rub impact force considering varied rotating speed was derived and the rub impact response of a rotor system with initial bending and asymmetric stiffness was analyzed.
它利用了混沌对初始条件敏感、轨迹具有不可预测性的特点来产生跳频序列。
It utilizes the characteristic of sensitivity to initialization and indeterminism to contrail, so chaotic property determines the performance of chaotic sequence.
这种对初始条件的敏感依赖性是混沌理论的精髓。
This sensitive dependence on initial conditions is the essence of the Chaos Theory.
基于混沌变量，提出一种混沌模拟退火优化方法，给出了初始温度的确定方法。
Based on chaotic variable, a chaos simulated annealing algorithm is proposed and the method of defining the initial temperature is given.
混沌对初始条件和参数具有敏感依赖性。
气液相混合速度增加，液塞速度波动的混沌程度增大，并且液塞速度波动对初始条件的敏感程度越强。
When the mixture velocity accelerates, the chaotic extent of fluctuations increases, and the fluctuation is sensitive to the initial conditions.
该方法利用混沌序列具有容易生成、对初始条件敏感，以及具有白噪声的统计特性等特点。
This method makes use of good properties of chaotic sequences, such as ease of generation, sensitive dependence on their initial condition and noise like statistic characteristics.
鸿蒙初始，混沌一片，天地未开，世唯两气，一阴一阳，一柔一刚。
In the beginning of creation , earth was chaotic , heaven and earth did not open, the world only two gas, the Masculinity and the femininity.
混沌序列具有容易生成、对初始条件敏感以及具有白噪声的统计特性。
The chaotic sequence has easy to produce, is sensitive to the initial condition as well as has the statistical property of the white noise.
基于主动控制思想，提出了一种主动滑模控制策略，使得从任意初始条件出发的不确定混沌系统在有限时间内到达滑模面。
Based on active control method, an active sliding mode control strategy was proposed, which enables uncertain chaotic systems to reach sliding mode plane within finite time.
通过将原始明文信息块作为混沌映射的初始值，经过混沌系统的迭代得到系统的输出来构建原始明文的信息摘要。
By using the block of a original message as the chaotic map's initial value, the output of a chaotic system is obtained through its iteration to form original's message digest.
混沌是一种确定性的非线性运动，它不是随机的但对初始条件敏感依赖，许多领域的研究证实了混沌的存在。
Chaos is a deterministic nonlinear structure, which is not a stochastic process, but sensitive dependence on initial conditions. Studies in numerous fields have shown the existence of chaos dynamics.
混沌序列具有容易生成，对初始条件和混沌参数敏感等特点，近年来在图像加密领域得到了广泛的应用。
Chaotic sequence can be produced easily and is sensitive of the original conditions and parameters. In recent years, it is widely used in image encryption.
由于混沌系统对初始条件极端敏感，使得混沌输出常常不符合人们的要求，因此在许多实际的系统中，我们常常需要抑制系统中的混沌。
Because chaotic system is extremely sensitive to the initial condition which make the system output not meet people's demand, we always need to restrain the chaos in many practical systems.
理论分析和仿真结果表明，利用该控制策略可以实现在系统参数未知且具有不同初始点情况下的混沌系统的同步控制。
The theoretical analyse and simulations show that the controlling strategy can synchronize chaotic systems with the unknown parameters and the different initial conditions.
攻击者很难从一段有限长度的序列推断出整个混沌序列的初始条件，因此可保证水印信息的安全性。
Because the chaotic sequence is very sensitive to the initial value, the attackers cannot deduce the whole sequence from the finite sequence and the security of watermark information is ensured.
该算法在起始阶段利用混沌优化算法寻找初始点，随后采用BFS法完成参数寻优过程。
At the initial stage, chaotic optimization algorithm is used to search a global initial point. Then, a BFS algorithm is adopted to complete the parameters-optimized process.
根据束晕-混沌控制策略方法，利用具有非线性、收敛性的抽样函数构造控制器，对初始条件遵从k - V分布的离子束进行了控制研究。
A sampling function structural controller with nonlinear convergence is used to control the ionic beam that its initial condition follows Kapchinskij-Vladimiskij (K-V) distribution.
采用混沌的数字计算法计算了双字节不同初始值的周期。
The period values of different sequences from different initial values in double bytes were gotten through discrete digital chaos calculation.
混沌既具有对初始条件敏感依赖性的“蝴蝶效应”特征，又具有在时间标度上的自相似性。
It has the sensitive dependence of the initial conditions which is known as "butterfly effect" and the self-similarity of time scale.
另外，在生成初始水印后又加入了混沌变换置乱水印，因此可提高数据库水印的鲁棒性和安全性。
Moreover, add change of order used chaotic sequences after the initial watermark generated; therefore this can improve the safety of database watermark.
另外，在生成初始水印后又加入了混沌变换置乱水印，因此可提高数据库水印的鲁棒性和安全性。
Moreover, add change of order used chaotic sequences after the initial watermark generated; therefore this can improve the safety of database watermark.
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