混沌的

基本解释 (translations)

muddleheaded

与混沌的相关的网络例句 [注：此内容来源于网络，仅供参考]

In 1990 and the pioneer works of Pecora and Carrol, The theoretical research and applied study of the chaotic control and chaotic synchronization get the development at full speed. Various kinds of methods of the chaotic control come out one after another and people find the chaotic control and chaotic synchronization can be applied to a lot of fields such as secure communications, chemical, modeling brain activity etc.

但自1990年E.Ott等人提出了OGY方法以及Pecora和Carroll关于混沌同步的开创性工作之后，混沌控制与同步的理论研究和应用研究得到飞速发展，各种控制混沌的方法相继问世，并发现了混沌控制与同步可以在诸如保密通讯、信号处理、化学反应、生态和电力系统等领域广泛应用。

Based on the research results of Chaos theory, in this dissertation, it has made detailed analysis of the chaotic signal generator. Firstly, the characteristic and various detection methods of chaotic signal are recommended. Secondly, with the aid of software, such as MATLAB, PSPICE, EWB, etc, discussion of the process of generating chaotic signal proceeds. Through simulation, the output result of several kinds of chaotic circuit are analyzed and compared. Thirdly, aiming at Chuas chaotic circuit, through debugging, the impacts by components and parts in the circuit, such as operation amplifier, capacity, inductor, etc, has been further investigated. And then provides a new scheme to implement Lorenz chaotic system, the circuit design and analysis are presented in detail and it can be realized by the hardware of programmable arrays FPGA, the experimental results indicate that this scheme has the advantages of easy operation, flexible design and high efficiency. An application example in secure communications is also provided. Finally, through picking up the characteristic parameter-Lyapunov exponent of the Chaos we can analyze the performance of different chaotic signal generators.

本文在混沌理论研究成果的基础上，对混沌信号的产生做了详细的分析，涵盖以下内容：首先介绍了混沌的定义，混沌信号的基本特性和各种判别方法，特别是对简单的一维Logistic映射的硬件实现问题做了初步探索；其次对混沌信号的产生方法进行讨论，借助于MATLAB、PSPICE、EWB等仿真软件，对几种混沌电路输出的混沌信号进行了分析比较，并在此基础上针对典型三阶连续自治系统Chua's电路作进一步实验研究，通过混沌电路调试，深入研究电路中各元器件，特别是运算放大器、电容、电感等对混沌信号时域以及频谱的影响；再次研究连续混沌系统的数字化硬件产生，设计了Lorenz混沌电路在现场可编程门阵列FPGA上实现的新方案，在保密通信中的应用实验结果表明该方案具有操作简单、设计灵活、效率高等优点；最后针对不同混沌系统，采取不同算法，提取混沌特性参数Lyapunov指数，进而对不同的混沌信号发生器的性能进行了分析。

As an application, it is proved that a continuous map of an interval is chaotic iff it is distributively chaotic in a sequence.

给出紧度量空间上连续映射按序列分布混沌的一个充分条件，并证明区间连续自映射是混沌的当且仅当它是按某序列分布混沌的。

Chaos basic knowledge, contacts and understanding of chaotic good, very suitable for beginners portal, from simp...

混沌基础知识，接触和了解混沌的好资料，非常适合初学者入门，从简单的非线性到混沌现象，由浅入深。

In the study of the stochastic chaos in simple pendulum, the random Melnikov process is derived and the mean-square criterion is used to determine the threshold amplitude of the bounded noise excitation for the onset of the chaos or random chaos in the system. For the coupled simple pendulum and harmonic oscillator, the Melnikov function is used to determine the condition for the onset of chaos in the case of Hamiltonian perturbations. In the case of non-Hamiltonian perturbation, the generalized random Melnikov process and mean-square criterion are used to determine the threshold amplitude of the bounded noise for the onset of random chaos.

在随机混沌研究中，应用随机Melnikov过程的均方准则研究了单摆在有界噪声激励下发生混沌或随机混沌时有界噪声激励的临界幅值；对于耦合的单摆-谐振子系统，先用Melnikov函数研究了在哈密顿扰动下发生混沌的必要条件；然后用推广的随机Melnikov过程方法研究了在非哈密顿扰动下发生随机混沌的必要条件；用最大Lyapunov指数及Poincaré截面方法结果与上述理论结果作了对比。

Chapter four studies the chaotic responses in a system consisting of simple pendulum and harmonic oscillator under bounded noise excitation. Firstly, the Melnikov function of the two-degree-of-freedom system under Hamiltonian perturbation is derived. The essential condition of the autonomous system for the probable onset of chaos is obtained, the Poincare maps of the system under small Hamiltonian perturbation and the effect of increasing perturbation on the Poincare maps are studies. Then for the non-autonomous system under damping and harmonic or bounded noise excitation, the largest Lyapunov exponent and Poincare maps are calculated. From the analysis of the largest Lyapunov exponent, the critical criterion for the onset of chaos, and the conclusion that the threshold of bounded noise amplitude for the onset of chaos in the system increases as the intensity parameter of Wiener process increases are obtained. The result from the analysis of Poincare maps is in agreement with that obtained from the Largest Lyapunov exponent. The effect of varying damping coefficient and intensity parameter of Wiener process is also analyzed.

第四章研究了有界噪声激励下的两自由度单摆—谐振子系统的混沌运动，首先推导了该两自由度系统仅在Hamilton扰动下的Melnikov函数，得到该自治系统可能产生混沌的必要条件；研究了该系统在小的Hamilton扰动和增大摄动情形下的Poincare截面；然后对有阻尼、谐和或有界噪声激励下的非自治系统数值计算了其最大Lyapunov指数和Poincare截面；从Lyapunov指数分析得到了这个两自由度系统产生混沌运动的临界条件及产生混沌的临界激励幅值随Wiener过程强度参数值的增大而增大的结论，Poincare截面分析的结果亦符合Lyapunov指数分析的结论；研究了Wiener过程强度参数、阻尼系数变化对Poincare截面的影响。

By the help of numerical analysis and graphic recognition, Duffing-van der Pol non-linear vibration system with 9 parameters has been researched, the Graphic User Interface contains initial conditions, 9 parameters, power spectrums, trochoid chart of phase portraits, Poincaré mapping, analogous dynamic graph of displacements and the analogous vibration graph of mass blocks, the various dynamic characteristics of the non-linear vibration can be attained, which makes it possible to fully implement the visualized computer experiments and study of Duffing-van der Pol non-linear vibration system.

因为混沌运动十分复杂，在研究和模拟混沌运动的过程中，不但要进行大量的数值计算，而且要将计算结果直观地展示出来以便观察混沌现象，完成这一任务非计算机不可。自从洛伦茨利用计算机发现了第一个混沌吸引子以后，30多年来正是有赖于计算机技术的发展，促使混沌的研究取得迅速的发展。另一方面，混沌运动是确定性系统中出现的一种貌似随机的现象，走向混沌有其独特的过程，只有展示出它的演化过程，才能很好地了解混沌运动。也就是说，混沌是一门关于过程、演化的科学而不是一门关于状态、存在的科学。因此，只有利用计算机才能将混沌的动态过程和演化的方式真正地体现出来。

The Third chapter analyses the chaos feature possessed by disequilibrium economy system in detail, reveals universality of economy chaos studies the problem of disequilibrium Economy system's foreost and control analysis economy's strategy management problem using chaos'principle of unexactness in measuring Meanwhile, this chapter introduces the CML model, which reveals of economy, and probes into the space-time chaos character of economy system.

第三章详细分析了非均衡经济系统所具有的混沌特征，揭示了经济混沌的普遍性；研究了非均衡经济系统的预测与控制问题；应用混沌的测不准原则分析了经济的战略管理问题。同时把揭示湍流规律的CML模型引入经济分析，探讨了经济系统的时空混沌特征。

The investigations in this thesis focus on several aspects as follows: We investigate the method that how to produce permutation matrix by using chaotic map, and get the method of image permutation based on chaotic map. This method can make original image to unorderly image to protect the true content of image. We investigate gray level mix function, and put forward a gray level mix function based on chaotic map. Because this function has chaotic characteristics, the image dealed with this function has very uniform histogram. Aiming at the contradiction between error robust and security on image encryption, we put forward a kind of gray level mix function including diffusion mechanism.

本文的研究工作主要集中在以下几方面：研究了如何利用混沌映射产生置乱矩阵的方法，给出了基于混沌的数字图像置乱方法，该方法能够将原始图像变成面目全非的杂乱图像，从而保护了数字图像的真实内容；研究了灰级混合函数，提出了基于混沌的灰级混合函数，由于该函数具有混沌特性，所以经过该函数处理后的图像具有非常均衡的灰级直方图；针对图像加密的错误鲁棒性与安全性之间的矛盾，提出了一种含有扩散机制的灰级混合函数。

The following exciting results are revealed: 1 When considering the influence of some nonlinear elements such as hard-limit of exciters, the effects of some devices such as Power System Stabilizer and Static Var Compensator which can introduce positive damping in power system, the reasonability of system parameter values in simulation, the SNB surface and HB surface on the boundary of SSSR will turn close to each other and even coalesce together; 2 Under some conditions, coupling between slow exciters and shunt capacitors will bring negative damping in power system dynamics, which increases the possibility of oscillatory instability. So the power system with mass shunt compensators is easily subjected to the oscillatory instability. In recent years, chaotic phenomena of power system have been reported many times. Some simulation studies even found chaos existing inside the power system SSSR. In this dissertation, chaotic phenomena in power systems are thoroughly studied in order to make clear the relation of chaos and SSSR. The following results are derived: 1 Based on Li-Yorke Theorem and their definition on the chaos, the existence of chaos in power system is verified; 2 Three possible routes of causing chaos in power system are found and deeply investigated. They are route of cascading period doubling, route of directly initial energizing and route of torus bifurcation (or quasi-periodicity). The latter two routes are investigated for the first time in power system stability studies; 3 When the stability conditions of chaos are broken, it is found they can lead to voltage collapse, angle divergence, or voltage collapse with angle divergence simultaneously.

针对在电力系统小扰动稳定区域内可能存在混沌吸引域的有关报道，本文深入研究了电力系统混沌现象的出现途径和与系统失稳模式之间的关系：1利用Li-Yorke定理和Li-Yorke的混沌定义，从理论上证明了电力系统混沌现象的存在性；2发现了电力系统中导致混沌出现的三种可能途径：倍周期分岔导致混沌、初始能量直接激发混沌和经由环面分岔导致混沌，并对后两种新发现的途径进行了较为细致的研究；3发现了混沌极限环破裂导致电压崩溃、角度失稳以及电压崩溃和角度失稳同时出现的现象，其中混沌极限环破裂导致系统角度失稳和电压崩溃及角度失稳同时出现的现象均属首次报道；4证明由微分-代数方程描述的系统模型，其小扰动稳定域的边界只包含HB、SNB和SIB三种分岔界面，在SSSR的内部和边界上，均不可能存在会导致混沌的点，从而将混沌现象排除在小扰动稳定域的研究之外，简化了后者的研究工作。

与混沌的相关的网络解释 [注：此内容来源于网络，仅供参考]

chaos theory：混沌论

谈到这里,混沌论(Chaos Theory)似乎正来得合时,正好与上述的图像美妙地配合起来. 从本质上说,传统物理学中「以物理定律为依归,而局部区域内的扰攘紊乱相对地微不足道」的观点,在混沌论里却正好相反. 在混沌论中,局部的扰攘紊乱可能最终压倒全局.

chaotic：混沌的

好感和爱情也许只有一线之隔,混淆上不同的个体不同的概念,几乎无法说清道明. 后面尽量采用和靠拢社会上普遍认同的范围,避开概念边缘的波动以免大量歧义:在混沌的(Chaotic)概念中寻找秩序的(Lawful)明晰,本身就是愚蠢的.

muddle-headed：昏庸的

muddle 混合 | muddle-headed 昏庸的 | muddleheaded 混沌的

All muddle：一双混沌的手足

一世不恭的神情 All cynical look | 一双混沌的手足 All muddle | 一副憔悴的模样 A haggard look

muddleheaded：混沌的

muddle-headed 昏庸的 | muddleheaded 混沌的 | muddler 搅拌棒

But on the viewless wings of Poesy：乘着诗歌无形的翅膀

Not charioted by Bacchus and his pards, 不用酒神的车辗和他的随从 | But on the viewless wings of Poesy, 乘着诗歌无形的翅膀 | Though the dull brain perplexes and retards 尽管这混沌的头脑早已跟随你

Ruelle- Takens route：吕埃勒-塔肯斯道路通向混沌的道路

state variable 态变量 | Ruelle-Takens route 吕埃勒-塔肯斯道路通向混沌的道路. | Smale horseshoe 斯梅尔马蹄

much more tangly logic：混沌的逻辑

吸不住, But could no longer holds | 混沌的逻辑 much more tangly logic | 逃逸的空气. and disappeared air......

Dysfunction between you and me：我们之间混沌的关系

It is so easy to see 一切是如此清晰, | Dysfunction between you and me 我们之间混沌的关系; | We must free up these tired souls 在悲伤摧毁你我的前期,

Though the dull brain perplexes and retards：尽管这混沌的头脑早已跟随你

But on the viewless wings of Poesy, 乘着诗歌无形的翅膀 | Though the dull brain perplexes and retards 尽管这混沌的头脑早已跟随你 | Already with thee! tender is the night, 夜色温柔,而月后