利用参量驱动法实现Bragg声光双稳系统的混沌同步

对混沌同步方法进行了研究,利用参量驱动法实现了两个混沌系统的同步.以Bragg声光双稳系统为例进行仿真模拟,验证了这种方法的有效性.仿真模拟结果表明：当外加驱动信号作用于两系统的某个被驱动参量,两个初始条件不同的Bragg声光双稳系统误差变量很快平稳地趋于零,说明该同步方法是快速有效的.     

激光时空混沌模型的加权网络投影同步

提出了一种实现加权网络时空混沌投影同步的方法.通过构造合适的Lyapunov函数,确定了加权网络中连接节点之间耦合函数的结构以及网络节点状态方程中分离配置的线性项的系数矩阵的取值范围.以Bragg声光双稳系统作为局域函数,单向耦合映像格子作为空间扩展系统构成激光时空混沌模型.通过仿真模拟检验了采用激光时空混沌模型作为网络节点的加权网络的投影同步效果.结果显示,对于任意的节点之间耦合强度的权重值,加权网络的投影同步均可以实现. 关键词： 投影同步 加权网络 时空混沌 Bragg声光双稳系统     

布拉格声光双稳系统时空混沌的单向耦合同步

使用非线性动力学中的一维和二维耦合格子模型研究两个声光双稳系统的时空混沌同步.将驱动系统的输出以适当的比例耦合到响应系统并进行均衡, 能实现两系统的时空混沌同步.利用计算最大条件Lyapunov指数, 给出达到同步所需的最小耦合强度与系统参数的关系. 数值实验表明,在小噪声影响时仍然可以实现两系统的同步, 此法具有一定的抗干扰能力. 关键词： 单向耦合同步 时空混沌 布拉格声光双稳系统     

声光双稳系统的自控制反馈耦合驱动混沌同步

首先从理论上提出自控制反馈耦合驱动混沌同步化方案，数值地分析了双Bragg型声光双稳系统混沌输出同步化条件，使用最大条件Lyapunov指数作为同步化判据．发现通过适当比例的耦合驱动可以使两组混沌系统达到同步的混沌输出，引入自控制反馈可以加速达到同步化的速度并减小所需的最小耦合强度，在噪声的影响下同样可以实现混沌的同步．最后做了实验验证 关键词：     

节点结构互异的复杂网络的时空混沌反同步

研究了节点结构互异的离散型时空混沌系统构成复杂网络的反同步问题. 通过构造合适的Lyapunov函数, 确定了复杂网络中连接节点之间的耦合函数的结构以及控制增益的取值范围. 以物理中具有时空混沌行为的激光相位共轭波空间扩展系统、Gibbs电光时空混沌 模型、Bragg声光时空混沌模型以及一维对流方程的离散形式作为 网络节点构成的复杂网络为例进行了仿真模拟, 发现整个网络存在稳定的混沌反同步现象.     

用驱动参量法实现混沌系统的同步

提出了通过外部混沌信号驱动两个混沌系统的某个参量并导致其同步的方法,以logistic映象和Lorenz系统这两个典型混沌系统为例,数值地研究了这种混沌同步方法.模拟结果表明,当被驱动参量的变化范围足够大时,两个或多个混沌系统在新的动力学的基础上达到完全同步.特别强调指出的是,观察到了两个Lorenz系统依赖于初始条件的不同的同步态 关键词： 混沌 同步 驱动参量法 反向同步     

声光双稳态系统混沌的周期扰动控制

声光双稳混沌系统的参量受到进行周期扰动,在一定扰动强度下,可实现对混沌的控制.通过数值模拟,证明该方法的有效性,并计算了系统随扰动强度的状态演化和李雅普诺夫指数演化,揭示了扰动强度与系统状态的关系.在此基础上的实验研究,实验证实了对声光双稳混沌系统进行参量扰动可以有效控制混沌.     

用线性和非线性反馈实现混沌的同步化

提出了一种线性和非线性混合反馈实现混沌同步的方法。计算机数值研究表明：这种混沌同步方法与单用线性反馈或非线性反馈实现混沌同步相比，可提高两个混沌系统的同步速率，且不论在何种初始条件下，均能实现两个混沌系统的单调同步化     

声光双稳系统的混沌同步

首先给出布拉格型声光双稳系统耦合驱动的混沌同步化方案，用最大条件Ｌｙａｐｕｎｏｖ指数分析方法得出耦合驱动下系统混沌输出同步化条件，发现通过适当比例的耦合驱动可以使两组混沌系统达到同步的混沌输出。分析此混沌同步化方案可以抵抗噪声的干扰，并且在两系统出现偏差时仍可以实现混沌同步，找到了实用的单变量延时微分系统非Ｐｅｃｏｒａ－Ｃａｒｒｏｌｌ规则的混沌同步化方案。最后做了实验验证。     

状态反馈控制声光双稳系统的倍周期分岔和混沌

设计了一种动力学状态反馈(DSF)方法控制非线性混沌系统.介绍了DSF方法的控制原理,并用此方法控制声光双稳(AOB)系统的混沌,以此验证其有效性.仿真模拟显示,通过选择恰当的控制参数,有效地实现了声光双稳(AOB)系统中倍周期分岔的延迟控制和混沌吸引子中原不稳定周期轨道的稳定控制,同时,还可以将系统控制在2np、3mp 和2np×3mp这样其它任意所需的周期轨道上.     

Chaos control and synchronization in Bragg acousto-optic bistable systems driven by a separate chaotic system

In this paper we propose a new scheme to achieve chaos control and synchronization in Bragg acousto-optic bistable systems. In the scheme, we use the output of one system to drive two identical chaotic systems. Using the maximal conditional Lyapunov exponent (MCLE) as the criterion, we analyze the conditions for realizing chaos synchronization. Numerical calculation shows that the two identical systems in chaos with negative MCLEs and driven by a chaotic system can go into chaotic synchronization whether or not they were in chaos initially. The two systems can go into different periodic states from chaos following an inverse period-doubling bifurcation route as well when driven by a periodic system.     

Controlling and synchronizing spatiotemporal chaos of the coupled Bragg acousto-optical bistable map system using nonlinear feedback

In this paper we present the control and synchronization of a coupled Bragg acousto-optic bistable map system using nonlinear feedback technology. This nonlinear feedback technology is useful to control a temporally chaotic system as well as a spatiotemporally chaotic system. It can be extended to synchronize the spatiotemporal chaos. It can work in a wide range of the controlled and synchronized signals, so it can decrease the sensitivity down to a noise level. The synchronization can be obtained by the analysis of the largest conditional Lyapunov exponent spectrum, and easily implemented in practical systems just by adjusting the coupled strength without any pre-knowledge of the dynamic system required.     

Synchronization of a class of chaotic systems using small impulsive signal

In this paper the issue of impulsive synchronization of a class of uncertain chaotic systems with parameters perturbation is investigated. Applying the impulsive theory and linear matrix inequality technique, some less conservative and easily verified criteria for impulsive synchronization of chaotic systems are derived. The proposed impulsive synchronization scheme is applied to the chaotic Murali–Lakshmanan–Chua circuit and hyperchaotic Chen and the corresponding synchronization conditions are derived. Moreover, the boundaries of the stable region are also estimated according to the equidistant impulse interval. The effectiveness of the method is demonstrated by the computer simulation.     

Different Types of Synchronization in Time-Delayed Systems

We investigate different types of synchronization between two unidirectionally nonlinearly coupled identical delay- differential systems related to optical bistable or hybrid optical bistable devices. This system can represent some kinds of delay-differential models, i.e. Ikeda model, Vall~e model, sine-square model, Mackey Glass model, and so on. We find existence and sufficient stability conditions by theoretical analysis and test the correctness by＂ numerical simulations. Lag, complete and anticipating synchronization are observed, respectively. It is found that the time-delay system can be divided into two parts~ one is the instant term and the other is the delay term. Synchronization between two identical chaotic systems can be derived by adding a coupled term to the delay term in the driven system.     

Realization of generalized synchronization between different chaotic systems via scalar controller

In this paper, a very simple generalized synchronization method between different chaotic systems is presented. Only a scalar controller is used in this method. The method of obtaining the scalar controller from chaotic systems is established. The sufficient and necessary condition of generalized synchronization is obtained from a rigorous theory, and the sufficient and necessary condition of generalized synchronization is irrelative to chaotic system itself. Theoretical analyses and simulation results show that the method established in this paper is effective.     

基于引力场理论的混沌同步

通过引入分布引力场,将混沌系统的同步问题等效为引力场中系统运行轨道一致问题,从而实现更多不同动力学混沌系统的同步.通过将混沌系统之间的耦合度定义为速度,因其与运动方程无关,从而有别于常见的混沌同步控制项,具有较强通用性.基于轨道逼近导出引力场中多个混沌系统同步的条件,给出同步轨道方程.数值仿真实验说明了该方法的有效性.