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Controlling a Unified Chaotic System by Collocating the Lyapunov Exponents[J]. 引用该论文李国辉;雷云逸;徐得名;周世平.
Pecora L M , Carroll T L. Synchronization in chaotic system[J]. Physical Review Letters, 1990,64 (6) :821. 戴栋马西奎.;基于间歇性参数自适应控制的混沌同步[J]
It can improve the degradation of digital chaotic and diffusing speed of diffusion function through perturbating initial value of chaotic system with ciphertext. 该算法利用密文扰动混沌系统的初始值，既改善了数字混沌的退化，又能使扩散函数具有非常快的扩散速度。
The characteristics of chaotic system are useful on measurement was observed.The chaotic system will bifurcate when the system parameters change a little. 混沌动力学系统具有初始条件的极端敏感性，当参数空间发生漂移时，系统的解空间将会出现很大的变化。
Moreover, the initial value of the chaotic system and the selection parameters of the compensation are used to improve the security of steganography system. 混沌系统初值和动态补偿参数可进一步提高系统的安全性。
With this controller,the first state variable of the controlled system in the strict-feedback form synchronizes with the scalar output of the given chaotic system. 严格反馈系统在所设计控制器的控制下,其第一个状态变量输出可以大范围渐近同步于给定的混沌系统的标量输出。
The chaotic sequences generated by spatiotemporal chaotic system model based on two dimensional coupled map lattice (CML) have good pseudorandom property. 基于二维耦合映象格子(CML)的时空混沌系统模型产生的混沌序列具有良好的伪随机特性。
So，a new image encryption method based on 3D chaotic system is proposed in this paper，which can not only increase secret key space，but also tone up ability to deciphering. 为此，提出了一种基于三维混沌系统的图像加密新方法，扩大了密钥空间，提高了加密系统的抗破译强度。
An approach, which forces a unified chaotic system to the expected point by analytically designing the controller to collocate the Lyapunov exponents, has been proposed. 解析设计控制器,通过配置相应的李雅谱诺夫指数,使统一混沌系统趋于预期点。
A numerical method is used to simulate the forking process of a new chaotic system which is simple in topology structure but complicated in dynamics behavior. 用数值方法模拟一个拓扑结构简单、动力学行为复杂的新型混沌系统分岔过程,并用连续控制法研究该系统的混沌控制和同步特性。
The catch is that the evolution of a chaotic system depends very sensitively on its starting conditions, which leads in the long term to behaviour that is ultimately unpredictable. 只要掌握这一点,即混沌系统的演变随着它的初始条件的改变而非常敏感地变化着,而这些初始条件经过长期运算后最终导致其结果是不可预知的。
This paper analyzes the state of Hopf bifurcation in a chaotic system, judge the direction of the bifurcation by calculating the first Lyapunov coefficient, and then briefly discuss some corresponding dynamic system behaviors. 摘要讨论了一个混沌系统的霍普夫分叉情况，并通过计算系统的第一李雅普诺夫系数判断了其分叉的方向，对相应的动力系统行为也作了简要的分析。
In this paper, a kind of digital signature is presented, which is based on the Lorenz chaotic system and the four step cell neuron net (CNN) hyperchaotic system. The digital signature of Chinese document is realized. 文中提出了基于Lorenz混沌系统和四阶细胞神经网络(CNN)超混沌系统的数字签名方法,实现了对中文文档的数字签名。
First, you can milk underlying patterns inherent in chaotic systems to make good predictions. 首先，你可以抽取混沌系统固有的基本模式，取得良好的预测。
Based on the delay-coordinate reconstruction and bilinear expressions in the phase space of a chaotic system, a bilinear adaptive filter was designed to predict low-dimensional chaotic time series. 摘要基于混沌动力系统相空间的延迟坐标重构和双线性表达式，设计了预测混沌时间序列的双线性自适应预测滤波器。
Numerical researches show that the controlled system can track reference signals in arbitrary form, including the output of other Chaotic systems. 数值研究结果表明，受控系统可对任意形式光滑参考信号（包括其他混沌系统的输出信号）进行追踪。
The primary contributions of this paper contain the following points:(1) Two algorithms are presented using chaotic system and discrete Kolmogorov flows to create watermark sequences . 主要完成以下工作：(1)本文利用混沌系统和离散柯尔莫哥罗夫变换，提出两种水印序列生成算法。
But it is also just a starting point, because there are chaotic systems that have many different parameters that depend on one another. 但是,这也还仅仅是起始点,因为这就是混沌系统,有许多不同参数、各参数间相互作用的混沌系统。
A controller is designed based on Lyapunov stability theory,and an unstable periodic orbit(UPO) tracking of uncertain chaotic systems is considered. 基于Lyapunov稳定性理论,设计了控制器,实现了快速跟踪混沌系统的不稳定周期轨道。
All the criteria derived in this dissertation work for regular and chaotic systems, linear and nonlinear systems, autonomous and nonautonomous systems. 所有在本论文中被推导出的判据都适用于规律及浑沌系统、线性及非线性系统、自治及非自治系统。