混沌系统的速度反馈同步

从线性反馈同步、广义同步、耦合同步三个方面讨论了混沌系统的速度反馈同步，计算了速度反馈同步所需要满足的反馈系数的条件，并与一般意义下的位移反馈同步系数进行了比较，结果表明速度反馈系数均大幅度减小，从而降低了同步的复杂度和代价.数值仿真表明了该方法有效可行. 关键词： 混沌 反馈 同步 最大Lyapunov指数     

端口受控哈密顿系统的混沌反控制研究

对端口受控哈密顿系统能量变化和动力学特性进行了分析，采用了分段线性输出反馈对其进行混沌反控制，给出了构造分段线性输出反馈矩阵的方法.此方法具有物理概念明确，不需计算李雅普诺夫指数，易于实现等特点.数值计算和仿真研究表明了此方法的有效性 关键词： 哈密顿系统 混沌 反控制     

托卡马克中低模态到高模态转迁模型的混沌运动

利用Melnikov方法详细研究了在托卡马克(Tokamaks)中,等离子区边缘附近低模态到高模态转迁方程的混沌动力学.该转迁方程是一个含外激励和参数激励的系统.对含周期外激励和线性参数激励、三次参数激励的系统分别绘出了用来划分混沌区和非混沌区的临界曲线.得到的结果表明,含有线性或三次参数激励的系统存在不可控区域,在该区域中异宿轨分岔总是导致混沌发生.特别地,三次参数激励系统存在一个"可控频率",施以该频率的激励,不论激励的振幅多大,同宿轨分岔总是不会导致混沌发生.得到了这类系统的一些复杂的动力学行为.     

基于LabVIEW数据采集系统的混沌电路实验

应用LabVIEW软件构建了混沌电路, 并利用数据采集卡对实测混沌电路进行数据采集和处理. 该实验有利于学生从感性上认识了混沌现象,掌握混沌电路的基本原理和测量方法.     

RESEARCH ANNOUNCEMENTS

For many years, the existence of chaotic behavior in dynamical systems has received much attention. Theoretical and experimental methods to show the existence of chaos have been well developed.It is well-known that if the stable and unstable manifolds of a hyperbolic periodic orbit     

An active control synchronization for two modified Chua circuits

From modern control theory, an active control method to synchronize two modified Chua circuits with each other,which exhibit chaos, is presented. Some sufficient conditions of linear stability of the chaotic synchronization are obtained from rigorous mathematic justification. On the basis of the state-observer, the controller is analytically deduced using the active control. It is shown that this technique can be applied to achieve synchronization of the two systems with each other, whether they are identical or not. Finally, numerical simulations show the effectiveness of the proposed control scheme.     

Chaotic attractor transforming control of hybrid Lorenz-Chen system

Based on passive theory, this paper studies a hybrid chaotic dynamical system from the mathematics perspective to implement the control of system stabilization. According to the Jacobian matrix of the nonlinear system, the stabilization control region is gotten. The controller is designed to stabilize fast the minimum phase Lorenz-Chen chaotic system after equivalently transforming from chaotic system to passive system. The simulation results show that the system not only can be controlled at the different equilibria, but also can be transformed between the different chaotic attractors.     

One-way hash function based on hyper-chaotic cellular neural network

The design of an efficient one-way hash function with good performance is a hot spot in modern cryptography researches. In this paper, a hash function construction method based on cell neural network with hyper-chaos characteristics is proposed. First, the chaos sequence is gotten by iterating cellular neural network with Runge Kutta algorithm, and then the chaos sequence is iterated with the message. The hash code is obtained through the corre- sponding transform of the latter chaos sequence. Simulation and analysis demonstrate that the new method has the merit of convenience, high sensitivity to initial values, good hash performance, especially the strong stability.     

一类关联混沌系统的分时切换混沌同步

提出关联混沌系统分时切换混沌同步的思想.利用线性反馈控制方法实现一类关联混沌系统中各个子系统与其复制系统间的分时切换混沌同步.根据时变系统的稳定性理论，得到了使各子系统都能实现混沌同步的反馈控制增益的取值范围.数值仿真实验证明了理论分析的正确性和可行性.     

二维Logistic映射的混沌控制

基于离散系统的稳定性判据，利用反馈法将处于混沌态的二维Logistic映射控制在低周期态.同时设计控制方案将该动力系统的第一次分岔准确控制在指定参数位置.数值模拟结果验证了本方法的有效性.