混沌的控制与同步

阐述了混沌控制与同步研究的基本思想和主要方法，并介绍了其应用和发展方向．     

基于生成对抗网络的混沌激光同步优化

提出并验证了一种基于深度学习的混沌激光同步优化方案,在共同外腔半导体激光器驱动注入同步系统中,引入生成对抗网络对初始的混沌同步信号进行优化。所提方案的主要优点在于：实现了混沌信号的时延标签抑制和复杂度提升;显著改善了混沌信号幅值分布的对称性;大幅降低了驱动端和本地端的相关性,提升了同步系统的私密性。此外,将优化后的混沌信号应用于物理熵源,在高质量混沌同步的基础上,验证了速率高达4.1 Gbit/s、误码率低于10-3的高速同步物理随机数产生。     

自由电子激光中的混沌现象及控制

本文评述了高技术项目之一自由电子激光（下文中简记为ＦＥＬ）中的混沌问题。着重讨论了ＦＥＬ中电子运动和光场发展的不稳定性与混沌现象，以及电子相空间运动轨道的混沌与光场混沌的控制、利用等。在讨论过程中，利用了混沌理论研究中的一些典型方法，如作Ｐｏｉｎｃａｒｅ截面，画电子的相空间运动轨道，计算Ｌｉａ－ｐｕｎｏｖ指数，作功率谱等。从而揭示ＦＥＬ中各种稳定、不稳定、及混沌等现象的内在规律性。最后，针对探索ＦＥＬ的新概念、ＦＥＬ技术的发展等问题，本文提出了一些具体的建议。     

激光混沌同步和解码以及优化

进行了激光混沌模拟信号(0.1—10GHz)和数字信号(0.2和0.3Gbit/s)以及频率键控调制解调等研究,优化分析了调制信号的频率和幅度等对同步误差和解调的影响以及激光器混沌键控速率极限;分析了彻底同步和伪同步,并优化分析了系统参数失配、反馈系数对同步误差以及同步时间的影响.关键词：激光混沌同步解码优化     

激光Maxwell-Bloch 方程时空混沌网络的同步研究

研究了激光Maxwell-Bloch 方程时空混沌网络的同步问题.对单模激光Maxwell-Bloch方程进行了修正. 以N个修正后具有时空混沌特性的单模激光Maxwell-Bloch方程作为网络节点构成复杂网络. 在考虑到网络连接过程中,节点时空混沌系统中的参量可能受到某种干扰而与实际值产生微小偏差的情况下,采用网络第一个节点的时空混沌系统同时并行驱动其余N-1个时空混沌系统达到同步. 进一步通过仿真模拟验证了同步方案的有效性.     

电光双稳态系统的混沌控制与同步

根据长延时状态下电光双稳系统的特点,提出了实现其混沌控制与同步的具体方案.数值模拟的结果表明：适当选取驱动强度及驱动系统的状态,不仅可以实现对响应系统不同周期状态的稳定控制,还可以实现驱动系统与响应系统间的广义混沌同步.以最大李雅普诺夫指数为标准,给出了实现混沌同步的参数范围.     

基于间歇性参数自适应控制的混沌同步

提出了在两个不同参数混沌系统的同步中基于间歇性参数自适应的控制方法.在选择合适的间歇反馈周期N和反馈系数r的情况下,可以获得满意的同步结果.以logistic映射为例进行了计算机模拟.结果表明:适当选取反馈系数r,可以以很小的控制代价实现预定的同步目的.关键词：混沌同步间歇控制自适应控制     

基于LSTM的激光混沌同步通信

针对激光混沌保密通信系统中混沌信号接收双方硬件参数难以完全匹配的问题,用长短期记忆神经网络对发射端产生的大量混沌加密信号和部分载波信号进行充分训练,最终得到一个与发射端激光器系统高度相似的神经网络模型,并用此非线性模型代替接收端进行解密,实现了2 Gbit/s的混沌同步通信。该方法明显降低了混沌同步的复杂性。探讨了不同节点数量、耦合系数以及信噪比对于同步通信的影响,结果表明同步系数可以高达0.999 966,均方根误差达到10^-3量级,误码率低至10^-10量级。最后通过图像传输系统验证了方案的可行性。     

基于追踪控制的混沌异结构同步

针对连续混沌系统,提出一种混沌异结构同步追踪控制方案.利用Lyapunov方法证明了当受控系统满足Lipchitz条件时,即可使其状态输出指数收敛到任意给定的参考信号.设计的控制器结构对不同的混沌系统具有统一的形式,可实现任意混沌系统之间的异结构同步.数值仿真进一步表明了该方法的有效性.关键词：混沌系统追踪控制同步     

利用单模激光Lorenz系统实现异结构混沌系统混沌同步

对混沌同步问题进行了研究。设计了一种同步控制器来实现异结构混沌系统之间的混沌同步。减少了控制器的数量,仅用一个控制器就能实现这一同步控制。同时,控制器只需在目标和响应系统中提取一个易提取信号即可实现,从而大大降低了同步代价,便于实际应用。以单模激光Lorenz系统和coullet系统为例,验证了这种控制器的有效性。仿真模拟结果表明,在控制器的作用下,coullet系统所有状态变量严格地跟踪了单模激光Lorenz系统的混沌轨迹,两者迅速地达到完全同步。该设计的控制方法可用于任意混沌系统,具有一定的普适性。     

Synchronous implementation of optoelectronic NOR and XNOR logic gates using parallel synchronization of three chaotic lasers

The parallel synchronization of three chaotic lasers is used to emulate optoelectronic logic NOR and XNOR gates via modulating the light and the current. We deduce a logical computational equation that governs the chaotic synchronization, logical input, and logical output. We construct fundamental gates based on the three chaotic lasers and define the computational principle depending on the parallel synchronization. The logic gate can be implemented by appropriately synchronizing two chaotic lasers. The system shows practicability and flexibility because it can emulate synchronously an XNOR gate, two NOR gates, and so on. The synchronization can still be deteceted when mismatches exist with a certain range.     

Spatiotemporal chaos synchronization of an uncertain network based on sliding mode control

The sliding mode control method is used to study spatiotemporal chaos synchronization of an uncertain network.The method is extended from synchronization between two chaotic systems to the synchronization of complex network composed of N spatiotemporal chaotic systems.The sliding surface of the network and the control input are designed.Furthermore,the effectiveness of the method is analysed based on the stability theory.The Burgers equation with spatiotemporal chaos behavior is taken as an example to simulate the experiment.It is found that the synchronization performance of the network is very stable.     

Projective synchronization of spatiotemporal chaos in a weighted complex network

<正>Projective synchronization of a weighted complex network is studied in which nodes are spatiotemporal chaos systems and all nodes are coupled not with the nonlinear terms of the system but through a weighted connection.The range of the linear coefficient matrix of separated configuration,when the synchronization is implemented,is determined according to Lyapunov stability theory.It is found that projective synchronization can be realized for unidirectional star-connection even if the coupling strength between the nodes is a given arbitrary weight value.The Gray-Scott models having spatiotemporal chaos behaviours are taken as nodes in the weighted complex network,and simulation results of spatiotemporal synchronization show the effectiveness of the method.     

Elimination of spiral waves and spatiotemporal chaos by the synchronization transmission technology of network signals

A method to eliminate spiral waves and spatiotemporal chaos by using the synchronization transmission technology of network signals is proposed in this paper. The character of the spiral waves and the spatiotemporal chaos in the Fitzhugh—Nagumo model is presented. The network error evolution equation with spatiotemporal variables and the corresponding eigenvalue equation are determined based on the stability theory, and the global synchronization condition is obtained. Simulations are made in a complex network with Fitzhugh—Nagumo models as the nodes to verify the effectiveness of the synchronization transmission principle of the network signal.     

Generalized chaos synchronization of a weighted complex network with different nodes

This paper proposes a method of realizing generalized chaos synchronization of a weighted complex network with different nodes. Chaotic systems with diverse structures are taken as the nodes of the complex dynamical network, the nonlinear terms of the systems are taken as coupling functions, and the relations among the nodes are built through weighted connections. The structure of the coupling functions between the connected nodes is obtained based on Lyapunov stability theory. A complex network with nodes of Lorenz system, Coullet system, Rõssler system and the New system is taken as an example for simulation study and the results show that generalized chaos synchronization exists in the whole weighted complex network with different nodes when the coupling strength among the nodes is given with any weight value. The method can be used in realizing generalized chaos synchronization of a weighted complex network with different nodes. Furthermore, both the weight value of the coupling strength among the nodes and the number of the nodes have no effect on the stability of synchronization in the whole complex network.     

单模激光驱动的超混沌系统的完全同步

利用主动-被动同步法实现了由单模激光驱动的超混沌系统的完全同步.根据稳定性理论,对系统进行了一般分解.以单模激光Lorenz系统和四维超混沌Chen系统为例,验证了这种方法的有效性.仿真模拟结果表明,这种同步方法是快速有效的.利用这种同步方法可以实现对任意高维混沌系统的混沌同步,具有一定的普适性.     

新型无线局域网双频段微带贴片天线设计

 新型无线局域网双频段微带贴片天线采用50 Ω微带线进行馈电,采用在贴片切槽设计方式,实现了微带天线在双频段工作的要求。其中心工作频率分别为2.44 GHz和5.20 GHz,相应的工作带宽分别达到了200 MHz和1.20 GHz。该天线具有小尺寸、结构简单、制作简单,低成本和在各工作频点处具有良好的方向性等优点,而且只需简单修改辐射贴片上的缝隙尺寸参数,就可以实现对天线高频段和低频段的调节。     

Chaos synchronization of a chain network based on a sliding mode control

A sliding mode control approach is proposed to implement the synchronization of the chain tree network. The doublescroll circuit chaos systems are treated as nodes and the network is constructed with the state variable coupling. By selecting a switching sliding surface, the chaos synchronization of the network is achieved with one control input only. The stability analysis and the numerical simulations demonstrate that the complete synchronization in a chain network can be realized for all nodes.     

在大学物理教学中适当增加混沌控制和同步内容的重要性

阐述了在大学物理教学中引入非线性理论知识,特别是引入混沌控制和同步内容的重要性,这对于让学生完整理解混沌科学理论是非常必要的．     

Generalized synchronization of two different chaotic systems

In this paper, generalized synchronization of two different chaotic dynamical systems is investigated. An active control is adopted to construct a response system which synchronizes with a given drive system for a function relation. Based on rigorous analysis, the error system is asymptotically stable at the equilibrium. Numerical simulations illustrate the effectiveness of the proposed theory.