混沌吸引子的英文

• chaotic attractor

• 混沌    chaos; the chaotic world in ...
• 吸引    attract; draw; fascinate; ap ...
• 子    son
• 吸引子    attractor
• 埃农吸引子    henon attractor
• 含混吸引子    vague attractor vak; vague attractor ， vak
• 巨大吸引子    great attractor
• 奇怪吸引子    strange attractor
• 奇异吸引子    strange attractor
• 吸引子网络    attractor network
• 洛伦茨吸引子    lorenz attractor
• 引子    1.[剧] an actor's opening words2.[音乐] introductory music3.(引起正文的话) introductory remarks; introduction 他讲了一则幽默轶事作为讲演的引子。 he introduced his speech with a humorous anecdote.4.[中药] (药引子) an added ingredient
• 混沌    1.(宇宙形成前的景象) chaos; the chaotic world in prehistoric times 混沌初开 when earth was first separated from heaven; at the dawn of civilization; 混沌状态 chaotic state; 原始的混沌状态 primal chaos2.(无知的样子) innocent as a child; ignorant and dumb3.(姓氏) a surname 混沌清 hundun qing; 混沌场 chaos field
• rna引子    rna primer
• 火引子    material for starting fire
• 药引子    an ingredient added to enhance the efficacy of a dose of medicine
• 吸引    attract; draw; fascinate; appeal to 吸引注意力 attract attention; 吸引外资 attract foreign investment; 对观众很有吸引力 have a strong appeal to the audience; 这个小孩被小说的情节吸引住了。 this child was fascinated by the plots in the novel.; 吸引力 attraction; alliciency; lure; relish; pazazz; attractive power; gravitation; 吸引器 aspirator; suction units; suction
• 混沌,混沌学    chaos
• （培养）起子，引子    culture starter
• 酵母引子    yeast starter
• 索引子系统    index subsystem
• 引子前序曲    preludi
• 超混沌    hyperchaos
• 混沌摆    chaotic pendulum
• 混沌层    chaotic layer

• Experimental results show that this ep - trained mlp model can generate a chaotic series , whose attractor can be reconstructed better than that generated by the bp - trained mlp model and which generates many chaotic sequences by changing weights of this mlps very easily
  计算机仿真结果表明：该模型比bp算法训练的神经网络模型能更好地重构混沌吸引子，调整网络权值即可产生多种混沌序列。
• Abstract : in this paper , the problem of robust ( adaptive ) synchronization of chaotic nonlinear systems with a unified model is considered . two main methods are proposed in different cases . sliding mode control is used when the states of the two synchronized systems can be measured , though the considered systems may contain uncertain parts . adaptive control with an observer is employed when only output information about the systems is known , where sliding mode control is also adopted to improve the robustness of the adaptive control systems
  文摘:针对混沌非线性系统的同步化问题，给出了一个较为一般的模型；我们利用混沌吸引子的特有性质(如混沌吸引子有界性等) ，对于所给模型，采用滑动模控制律实现了混沌同步化；在误差可观测的条件下，设计了观测器，并采用自适应滑动模控制律使得混沌非线性系统可以达到给定的同步化误差界
• After introduction to the principle , the realizing methods and applications of chaos anti - control , the state of art of chaos anti - control methods both at home and abroad are aimed and summarized : including chaos anti - control based on lyapunov exponents allocation , chaos anti - control based on added linear or nonlinear state feedback , chaos anti - control based on the alteration of the dynamics of the available chaos attractors , chaos anti - control based on the time delayed system parameter perturbation or time delayed state feedback , chaos anti - control based on the precise tracking of the reference chaos system
  摘要在介绍混沌化控制的原理、方法、应用的基础上，对如下混沌化控制方法的国内外现状进行综述：基于李雅普诺夫指数配置的混沌化控制、对受控系统施加线性或非线性状态反馈输入的混沌化控制、通过对已有混沌吸引子进行变异来实现混沌化控制、通过施加时滞参数摄动或时滞状态反馈来实现混沌化控制、通过受控系统状态对已知混沌参考系统状态的精确跟踪来实现混沌化控制。
• ( 3 ) a modified chua ' s circuit is proposed and a circuit implementation is also designed . dynamics of this modified chua ' s circuit are numerically studied and its lyapunov exponents are also calculated . ( 4 ) a resistance - coupling method for designing new chaos generators by taking use of existing chaos generators is suggested , several new chaos generators realized by this way are studied and their dynamic are compared to those of original chaos generators , their lyapunov exponents are also calculated
  （ 4 ）提出了一种构造新的混沌或者超混沌模型的电阻性混沌模型耦合方法，并且给出了用此方法构造的几种新的混沌吸引子，对所构造的新的混沌os吸5吁进行了数值研究，赠了其李雅普诺夫指数，将耦合形成的新的混饨吸引子与耦合之前的混饨吸引子进行了对比颁。
• In addition to the familiar period doubling bifurcation scenario leading to chaos , a quasiperiodic route to chaos is also observed which occurs through an initial hopf bifurcation . the current chaos control methods are compared , the stabilization of unstable periodic orbits of this chaotic system is achieved by continuous feedback control method , the specially designed external oscillator which used as target motion orbit in continuous feedback control method is obtained directly from ihb method
  对现有的混沌控制方法的优缺点进行了比较，利用混沌控制理论中的连续变量反馈控制方法，实现了系统混沌吸引子内部的不稳定周期轨道的稳定化，对齿轮传动系统进行了有效的混沌控制，并对连续变量反馈方法的结果进行了分析，包括噪声的影响和方法的改进。
• It is well known that the absence of periodic or chaotic behavior , which guarantees complete stability , is a requirement for many applications . we call that a cnn is completely stable , if any initial condition ( except at most for a zero measure set ) bring the system to an equilibrium point
  众所周知，在cnn的各种应用中，都要求系统不能存在周期轨道以及混沌吸引子，因此保证系统的稳定性则变得十分必要。所谓cnn的稳定性是指系统除了从一测度为零的集合为初始点出发的轨线外，其它的轨线最终都趋于某个稳定的平衡点。
• Firstly , based on matlab language programs , the chaotic vibration characteristic maps of duffing equation are drawn . the sensitivity of initial value in chaotic vibration is straightly described . the critical parameters of cycle to chaos is determined
  利用matlab语言程序绘制了duffing振子典型的混沌振动特征图，利用可视化方法直观描述混沌振动的初值敏感性；探讨了利用混沌振动中的初值敏感性来判断从周期到混沌的临界参数，以及混沌吸引子的分数维随某一振动参数的变化规律。
• Secondly , this paper analyses dynamically the dynamic behavior of several typical chaotic attractor in its phase space , and move specialty of chaotic attractor . the complicated degree is described using the density of phase space in the chaotic attractor . its method is better than the method of probability statistic
  对几种典型的混沌吸引子在相空间的动力行为进行动态仿真分析；利用混沌吸引子在相空间的密度刻画混沌吸引子的复杂程度，同用概率统计的方法作比较，其结果较好地反应了混沌吸引子的复杂程度。
• The theory of chaos and fractal have are widely applied on economics and finance field since the 70 ' s last century . talking about our country ' s studies on this way , as whole , these studies as followed have been doing , recognizing of system chaos , looking for chaos attractors , researching fractal structure to time series curve , prediction and control to chaos system etc . all those studies need deal with the estimation of the fractal - dimension
  分形与混沌作为非线性科学中两个重要组成部分，从上世纪七十年代起在经济、金融研究中得到广泛应用，就目前我国在这个领域的研究现状看，其应用研究主要集中在系统的混沌识别，混沌吸引子是否存在，时间序列曲线分形结构的分析，混沌系统短期预测与控制等问题上。
• In this paper , the problem of robust ( adaptive ) synchronization of chaotic nonlinear systems with a unified model is considered . two main methods are proposed in different cases . sliding mode control is used when the states of the two synchronized systems can be measured , though the considered systems may contain uncertain parts . adaptive control with an observer is employed when only output information about the systems is known , where sliding mode control is also adopted to improve the robustness of the adaptive control systems
  针对混沌非线性系统的同步化问题，给出了一个较为一般的模型；我们利用混沌吸引子的特有性质(如混沌吸引子有界性等) ，对于所给模型，采用滑动模控制律实现了混沌同步化；在误差可观测的条件下，设计了观测器，并采用自适应滑动模控制律使得混沌非线性系统可以达到给定的同步化误差界