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chaotic dynamics

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chaotic dynamics 混沌動力學(＝chaotic theory)。

混沌動力學(＝chaotic theory)。 “chaotic“ 中文翻譯：   adj. 渾沌的；混亂的。 adv. -ically “dynamics“ 中文翻譯：   n. pl. 1.〔用作 sing.〕 力學；動力學。 ...“chaotic“ 中文翻譯：   adj. 渾沌的；混亂的。 adv. -ically “dynamics“ 中文翻譯：   n. pl. 1.〔用作 sing.〕 力學；動力學。 2.動力，原動力。 3.動態。 4.【音樂】力度強弱法。 “dynamics on“ 中文翻譯：   動力學開“chaotic assemblage“ 中文翻譯：   混雜組合“chaotic attractor“ 中文翻譯：   混沌吸引子“chaotic character“ 中文翻譯：   隨機性“chaotic cities“ 中文翻譯：   混沌城市“chaotic communication“ 中文翻譯：   混沌通訊“chaotic coordination“ 中文翻譯：   混沌交接“chaotic cosmology“ 中文翻譯：   混沌宇宙論“chaotic deposit“ 中文翻譯：   混雜沉積“chaotic distribution“ 中文翻譯：   無序分布“chaotic evil“ 中文翻譯：   和叛逆邪惡; 叛逆的邪惡“chaotic facies“ 中文翻譯：   混合相; 混雜相“chaotic field“ 中文翻譯：   不規則場“chaotic heart“ 中文翻譯：   亂博心“chaotic inflation“ 中文翻譯：   混沌膨脹“chaotic layer“ 中文翻譯：   混沌層“chaotic melange“ 中文翻譯：   混雜堆積“chaotic motio“ 中文翻譯：   混沌運動“chaotic motion“ 中文翻譯：   不規則運動; 混沌運動; 無序運動“chaotic movement“ 中文翻譯：   隨興; 無秩序動作“chaotic neutral“ 中文翻譯：   叛逆的中立; 序中立

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The perturbed theory given in chapter 2 and a new definition on sensitive dependence on initial values of impulse - interval functions are adopted . from the abstract to real , we discuss a real model , named integrate - and - fire circuits , simulating the dynamics of in - formation processing in neurons . by the means of marotto theorem , we prove ide g vii the existence of chaotic dynamics in this model with the parameters in some restricted regions 接著，我們探討了一般的動態神經元的數學模型與脈沖微分方程的表示關系；對一種能用來模擬動態神經元動力學行為的整合-激發電路的模型作了分析，我們構造了合理的時間映射，分析了時間映射所具有的性質，并給出了該時間映射是馬羅陀意義下混沌的相應參數選取的具體算法與表示式。

Three kinds of discrete models of pwm dc / dc converter are deduced from sample - data method . then a complete chaotic dynamics modeling method is proposed based on float genetic arithmetic and sample - data method . nonlinear phenomena in a buck converter and a zeta converter are analyzed with the modeling method 利用數據采樣方法推導了pwm型dc / dc變換器的三種采樣方法的離散模型，然后在遺傳算法和數據采樣方法基礎上提出了一套完整的pwm型dc / dc變換器混沌動力學建模方法，并利用這種方法分析了buck變換器和zeta變換器中的非線性現象。

By combining chaotic dynamics and converging dynamics together , the neural network transit gradually to hopfield neural network is made . by introducing converging factor , the aim of controlling chaos is attained , which provides initial value of hopfield neural network that is near to the global optimal solutions , and solve the problem of local minimum . the principle of genetic algorithm is analyzed , and the design and of genetic algorithm are studied 通過把混沌動力學與收斂動力學相結合，使網絡逐漸由混沌神經網絡向hopfield網絡過渡，達到控制混沌的目的，并且提供了一個在全局最優解附近的初值，避開了神經網絡權值初始化沒有理論依據的難題，無須確定連接權值和閾值，使神經網絡具有物理意義明確、便于與工程應用相結合的特點。

Due to the limitation of the traditional optimization algorithm and the fact that intelligent optimization is gaining wider range of application over time , the thesis concentrates on the research of chaotic neural network and hybrid genetic algorithm . an improved chaotic neural network has been proposed to integrate chaotic dynamics and convergence dynamics in the purpose of conquering the shortcoming of neural network optimization that tends to converge at local optima in linear optimal problem . besides , the thesis puts forward a hybrid algorithm which combines simulated annealing and genetic algorithm 在優化技術支持子系統中，論文針對連續、光滑目標函數的優化問題，在傳統的混沌神經網絡的基礎上提出了一種改進的混沌神經網絡算法，該算法將混沌動力學與收斂動力學相結合，以改善神經網絡在尋優時可能會陷入局部最小的缺陷；針對非線性優化及大規模的組合優化問題，提出了一種將模擬退火算法與遺傳算法相結合的模擬退火混合遺傳算法，該算法利用模擬退火的過程來改進遺傳算法的結果，通過這種方法，可以改善傳統的遺傳算法在進行優化問題求解時可能會陷入局部最小的情況，仿真結果說明了這兩種算法的有效性。

Symbolic dynamics has a lot of theoretical and practical applications . it ' s not only an important research object , but also a powerful research tool , which is shown in this paper . in chapter 1 basic knowledge of chaotic dynamics is introduced , and then symbolic dynamics method is employed to discusse the chaotic properties of several dynamical systems in chapter 2 符號動力學在理論上和實際問題中有著廣泛的應用，它既是一個重要的研究對象，又是一個有力的研究工具，本文第一章介紹了混沌動力學的基本知識，第二章用符號動力學方法研究了幾個動力系統的混沌性態，再現了這一有力工具的重要作用。

Modeling power electronic circuits with chaotic dynamics can help us to learn more about dynamic behaviors of power electronic circuits , which is beneficial to engineering design . on the other hand , power circuits will supply instances for the study of nonlinear science , which , as a result , can also contribute to the development of nonlinear science 一方面，利用混沌動力學能夠對電力電子電路的行為進行更為深入、準確、全面的了解，從而便于進行工程設計；另一方面，電力電子電路也為混沌動力學等非線性科學的研究提供了實例，從而也會推動非線性科學理論本身的發展。

In this dissertation the nonlinear phenomena in pwm dc / dc converter are studied from three aspects : a complete pwm dc / dc modeling method with chaotic dynamics was first generated ; and then chaotic controlling technology in pwm dc / dc converter was studied based on the modeling method ; at last , the research on engineering application of chaotic phenomenon in dc / dc converter is illustrated 本文主要從三個方面利用混沌動力學來研究pwm型dc / dc變換器中發生的非線性現象： pwm型dc / dc變換器的混沌動力學建模方法、 pwm型dc / dc變換器中的混沌控制技術和dc / dc變換器中混沌現象的潛在工程應用價值。

Based on the normal form obtained above , a global perturbation method is utilized to give the analysis for the global bifurcations and chaotic dynamics of the rotor - ambs system . the global bifurcations analysis indicates that there exist the heteroclinic bifurcations and the silnikov - type homoclinic orbit in the averaged equations 利用全局攝動法研究了電磁軸承-轉子系統的全局分叉和混沌動力學，利用數值模擬方法分別對平均方程和原方程進行了分析，得到了的描述系統混沌運動的相圖和波形圖，從而驗證了理論結果的正確性。

We , in chapter 4 , comprehensively discuss the dynamics of discrete chaotic neural networks , including f the existence of fixed points , the stable , unstable dynamics of the fixed point , the saddle - node and period doubling bifurcations in singie neuron model , and chaotic dynamics of the networks . the proofs and de - ductions involve schauder fixed point principle , constructions of lyapunov func - tions , bifurcation theory , contraction map principle , and anti - integrable limit method 在本文的第四章中，我們首先介紹了離散混飩神經元、神經網絡模型由來與具體的數學模型，依次給出了該離散神經網絡的中不動點存在性與惟一性的分析：穩定性與不穩定性的分析；神經元模型的分枝分析；神經網絡中馬羅陀意義下混3屯動力學的分析

This paper uses systematic project for energy system according to jiangsu and ten province energy conditions in west . it applies nonlinear chaotic dynamics theory in energy system and builds the chaotic dynamics model of energy system : chaotic time series model . the largest lyapunov index energy time series has been calculated according to decimal quantity method 本文根據江蘇及西部十省能源狀況，利用系統工程的方法對能源系統進行研究，將非線性混沌動力學理論應用于能源系統中，建立能源系統的混沌動力學模型：混沌時間序列模型，采用小數據量方法來計算了能源時間序列的最大李雅普諾夫指數。

In the paper , series of definitions about chaotic dynamics system are summed up , several methods for judging whether a system is a chaotic one is discussed , property analyses of chaotic systems is studied and rudimentary characteristic of chaotic motion is generalized . two kinds of nonlinear systems are analyzed in this paper . melnikov function is used to study the vibration systems 根據混沌運動的特征，本論文主要對兩類具有廣泛代表意義的典型非線性系統問題進行了討論，利用數值分析的方法對系統進行了分析，得出系統出現混沌的閥值；然后綜合運用相圖分析、直接觀察時間序列和李雅譜諾夫指數法對系統是否產生混沌運動進行了描述和刻畫。

Lyapunov exponent depict the discrete extent of chaotic dynamic system . there propose an estimation of one step prediction error based on lyapunov exponent , the estimation express the reliability of prediction numerically . at the same time , in order to improve the predictive precision it drew out an error complement methods creatively to correct one step prediction Lyapunov指數定量刻畫混沌離散動力系統的平均發散程度，基于lyapunov指數作出了一步預測的誤差估計，以此來定量反映預測的可靠性；根據奇異吸引子流形的性質，創造性的提出殘差補充法，對預測值作出修正以降低誤差，提高預測精確性。

Chapter five discussed the demands of the robotic running in the gastro intestine and designed a long distance eddy current sensor . the dissertation leads to a novel kind of method to improve the measurement precision and sensitivity . the method is to put the test signal into the chaotic dynamic system , measures the system outputs and calculates the signal in turn 論文第五章提出了機器人的控制要求，制作了測試大行程的電渦流傳感器，提出了利用混沌周期解提高電渦流傳感器測試精度的原理和算法，進行了分析，研究了腸道什境模擬系統和計算機測試控制系統，研究了對機器人運行速度的控制。

Finally , some ways and means about optimization of the elastic mechanism design , the characteristic optimization of the elastic mechanism design , are raised in this paper according to these results and conclusion got from analyzing the behavior of chaotic dynamics of the elastic mechanism 三、彈性機構最優設計。依據對彈性機構混沌動力學行為特性分析所得到的結論，提出了本人對彈性機構優化設計方面的一些思路和方法，即彈性機構特性最優設計方法。

Recently people find that the chaos phenomenon exists in human brain , chaotic theory can explain some irregular thing in brain . so chaotic dynamics offer new chance for studying neural network , the research of chaotic neural network becomes a new task for us 近來人們發現了腦中存在著混沌現象，混沌理論可用來理解腦中某些不規則的活動，從而，混沌動力學為人們研究神經網絡提供了新的契機，對于混沌神經網絡的研究成為擺在人們面前的又一新課題。

The reason why we designed electronic tongue based on chaotic dynamic is that chaos is sensitive to the initial parameters . when different taste substances are added to the solution , the peak interval series of membrane oscillation are not the same . so do the atractors 基于混沌理論的電子舌主要是根據混沌對初始參數的敏感性設計的，加入不同味覺物質時候膜振蕩波形的尖峰間隔序列不同，相對應的吸引子圖也就不同，由此可區分不同味覺物質。

Besides stability , bifurcation and chaos in neural networks have receiving much attention recently . in this dissertation , we propose two neuron models with chaotic dynamics , which constitute chaotic neural networks that encompassed various associative and back - propagation networks 除了穩定性之外，極限環以及混沌也是神經網絡動態行為研究的重點，本文構造了具有混沌解的兩種神經元模型，通過混沌神經元的耦合可以構成混沌神經網絡。

3 . advance two encryption schemes using chaotic dynamic system model which are respectively based on cat - mapping chaotic image encryption and binary generator of time - delaying infinite dimension chaotic system model . the simulation results can confirm the validity of these two schemes ( 3 )提出了兩種利用混沌動力學系統模型的加密實現方案，分別是“基于貓映射的混沌圖像加密”和“基于時延反饋無限維混沌系統模型的二值序列產生” 。

The two - degree - of - freedom nonlinear system with cubic nonlinearities will be used to explore the bifurcations and chaotic dynamics in the rotor - ambs system with eight pole pairs . the results obtained by the dissertation show that there exist the chaotic motions in some parameter regions 本文研究了電磁軸承-轉子系統的非線性動力學，表明電磁軸承-轉子系統在某些參數區域內可以出現全局分叉和混沌運動。