一种基于误差系统稳定性的混沌广义同步方法

该文在将混沌系统分为线性与非线性两部分的基础上,利用反馈控制及参数变换,提出了一种新的混沌广义同步方法。该方法基于线性变换,把系统广义同步问题转化为同步误差系统的稳定性问题,并给出了广义同步存在的条件。该方法可以通过配置同步速度,改善混沌广义同步的性能。且不受混沌系统线性部分稳定性的限制,扩大了混沌广义同步的通用性。通过对Lorenz系统进行仿真,结果表明该方法具有很好的适用性。     

基于Lorenz超混沌系统模糊渐近同步的保密通信系统

研究了一种基于Lorenz超混沌系统渐近同步的保密通信系统设计方法。首先采用T-S模糊模型对Lorenz超混沌系统进行精确描述,进而基于模糊混沌同步理论,利用Lorenz超混沌系统设计信号发射器和接收器,实现混沌保密通信。最后利用Matlab软件进行仿真研究。     

简化Lorenz混沌系统的投影同步控制

针对最新研究的简化Lorenz混沌系统模型,分别采用比例投影同步和广义函数投影同步控制策略,研究了两个不同初值的简化Lorenz混沌系统的同步问题.基于罗斯-霍尔维兹准则和Lyapunov稳定性原理,推导了实现两混沌系统投影同步的同步定理,确定了实现投影同步的控制参数的取值范围:分析了控制参数对同步系统性能的影响规律....     

超混沌复系统的自适应广义组合复同步及参数辨识

该文针对含未知参数的异结构超混沌复系统,基于自适应控制及Lyapunov稳定性理论,提出一种新的自适应广义组合复同步方法 (GCCS)。首先给出广义组合复同步的定义,将驱动-响应系统的同步问题转化为误差系统零解的稳定性问题;然后从理论上设计了非线性反馈同步控制器及参数辨识更新律,并引入误差反馈增益,以控制同步的收敛速度;最后以超混沌复Lorenz系统、超混沌复Chen系统、超混沌复L系统的广义组合复同步与参数估计为例,从数值仿真角度验证了所提方法的正确性和有效性。     

基于Lorenz系统切换混沌同步的保密通讯

该文提出利用Lorenz系统切换混沌同步实施保密通讯的方法。构建了有一定关联的两个Lorenz混沌系统,并通过选择器在系统间随机切换;用同一种控制方法既能实现不同Lorenz系统的混沌同步,又能实现相同Lorenz系统的混沌同步;发送系统可以在Lorenz混沌系统间随机转换,传输信道中混沌调制信号也随之不断变化;接收系统将混沌调制信号解调后,即可获取有用信号。由于发送系统的可选择性,导致保密信号的多样性和随机性,因此该保密通讯方法具有更好的保密性能。     

超混沌Lorenz系统的投影同步及其在保密通信中的应用

针对单向耦合超混沌Lorenz系统,通过引入坐标变换分析了投影同步的产生机理,同时研究了比例因子与耦合系统初值选取的关系.提出一种新颖的图像信息传输方案,理论与数值研究表明,此方案不仅能够实现对图像的无失真恢复,而且具有较高的安全性.     

参量受混沌信号驱动的混沌同步

用外部混沌信号驱动两混沌系统的参量并实现同步，以Rossler系统驱动两Lorenz系统的某一参量为例进行数值模拟，结果表明，受混沌信号驱动的参量在一定的变化范围内，两Lorenz系统将历经非常复杂的同步过程；同时，系统的同步依赖于两者的初始条件。     

混沌线性广义同步新方法

两个混沌系统的广义同步是混沌全同步的一种推广。基于线性变换方法，研究混沌线性广义同步问题，提出了混沌线性广义同步新方法，该方法可以任意配置广义同步速度；给出了广义同步存在的条件；研究了两个蔡氏电路的广义同步。     

Lorenz混沌系统与其超混沌系统的同步与反同步

以Lorenz系统与其超混沌系统为例,研究了不同结构混沌系统的同步与反同步问题,基于Lyapunov稳定性理论,解析地设计了控制器,实现它们同步与反同步,数值模拟结果验证了该方法的有效性.     

混沌脉冲同步研究

以典型的Lorenz系统为例,研究可变长混沌脉冲间隔同步法,给出其稳定条件,并与传统的固定长度脉冲间隔同步法进行对比,同时在混沌脉冲同步的启发下,初步研究了适合数字保密通信的混沌同步技术。     

Gain Scheduling Synchronization Method for Quadratic Chaotic Systems

A global gain scheduling synchronization method is developed in this paper for the identical synchronization of quadratic chaotic systems. The quadratic chaotic system contains nonlinearity of quadratic terms of system's states. With chaotic states being bounded in certain regions, the quadratic chaotic system can be rewritten into the linear parameter varying (LPV) form through algebraic transformations. Then, using the gain scheduling technique, two different synchronization structures are proposed to achieve the global synchronization for the quadratic chaotic system. The convergence of the synchronization errors is guaranteed under the second Lyapunov stability theory. Generalized Lorenz systems, such as the Chen system and the Lorenz system, are illustrated as examples to demonstrate the efficiency of the proposed methods.     

Chaos Synchronization of Complex Network Based on Signal Superposition of Single Variable

Chaos synchronization of complex network with uncertain topological structure and coupling coefficient is used to study. By designing appropriate kinetic equation of network node, the chaos synchronization of the complex network is achieved. The unknown parameters and transported values of all the kinetic equations are identified simultaneously in the process of synchronization. When sets the parameter C^T for a specific value, the transported values of complex network node is the superposition of specific parameter of passed node. Lorenz system is taken for example to demonstrate the effectiveness of the presented method for a complex network of arbitrary topological type, and the dynamics analysis of the Lorenz chaotic system is given, the results we get including the Lyapunov exponents spectrum and its corresponding bifurcation diagram, and its corresponding analysis of SE complexity algorithm and C0 complexity algorithm are analysis briefly. In this paper, 0–1 test is given respectively. Discusses the influence of parameters on the synchronization performance. It is found that the synchronization performance of the complex network is very stable.     

The approach of hybrid adaptive coupling synchronization among N Lorenz systems and its application in secure communication for multi-unmanned aerial vehicle formation

In this paper, it is proposed that a hybrid global adaptive coupling synchronization scheme among $N$ Lorenz chaotic dynamical nodes to realize the secure communication system between base station and multi-unmanned aerial vehicle (UAV) formation. The specific method is that the feedback drive–response synchronization is utilized for first two nodes of base station and the leader of multi-UAV formation, and the nodes of all UAVs are coupled by unidirectional adaptive coupling synchronization according to a directed link in ad hoc network of multi-UAV formation. It is demonstrated that the asymptotic stability of the proposed hybrid adaptive coupled synchronization by constructing the Lyapunov function. In this way, the encrypted information formed by plaintext information masked into the chaotic sequence generated by the chaotic dynamical node of base station; meanwhile, it is fed back into the base station node as the drive system. On the other hand, encrypted information is forwarded to the leader node as the response system for decryption. The feedback driver–response synchronization is used to realize secure communication between the base station and the leader of multi-UAV formation. Meanwhile, secure communication among its leader and followers is achieved through the unidirectional adaptive coupling synchronization in the network. This strategy ensures the multi-UAV formation decrypting encrypted information synchronously and effectively improves the security, consistency, and overall performance of their commands.     

存在参数微扰的非自治超混沌系统的同步

本文对四维非自治的超混沌光学模型的同步问题进行了讨论。结合误差反馈同步方法和参数自适应同步方法,使参数不同的两个系统达到同步,数值计算结果也表明同步效果很好。同时对控制函数的参数与同步建立的时间两者之间的关系进行了仿真,结果表明,存在最佳参数使得同步建立的时间最短。     

Breaking two secure communication systems based on chaotic masking

This paper describes the security weakness of two generalized nonlinear state-space observers-based approaches for both chaos synchronization and secure communication, using chaotic masking and chaotic modulation of a Lorenz system. We show that the security is compromised without any knowledge of the chaotic system parameter values and even without knowing the transmitter structure.     

一种混沌通信系统

无扩散Lorenz方程是著名的Lorenz混沌模型单一参数简化形式。对一种单一参数无扩散Lorenz方程进行了分析推导,证明了此系统能很好的达到混沌同步,从而能很好地应用于保密通信。仿真结果与理论分析达到了很好的一致。同时,电路仿真也说明此系统同样能够应用到一个实际的电路中,从而具有很好的应用价值。