Image encryption algorithm based on improved chaotic sequences of Liu system

为了提高混沌序列的复杂性和伪随机性,首先,对Liu混沌系统生成的混沌序列进行了改进,使改进后的序列具有理想的伪随机特性;然后.利用改进的Liu系统混沌序列对图像进行加密,提出了置乱与替代相结合的加密算法.实验表明该算法具有较强的抵御穷举攻击、统计攻击、已知明文攻击能力,因此,算法具有较高的安全性.     

A self-adaptive synchronization controller for Liu chaotic systems

A kind of synchronization controller for Liu chaotic systems whose nonlinear components are subject to Lipschitz condition was proposed. By using Lyapunov function and linear matrix inequality technique, a selfadaptive synchronization controller was constructed for Liu chaotic systems. There are two components of our derived synchronization controller: linear and nonlinear component. Linear component is composed of errors of the state variables between drivingsystems and respondingstems, and nonlinear component is a selfadaptive synchronization controller. a proof was given for proving the feasibility of this method, and numerical simulations of Liu chaotic systems show its effectiveness. Furthermore, this method can be applied to other chaotic systems, such as Chen systems, Lorenz systems, Chua systems and Rssler systems,etc.     

超混沌Liu系统的自适应广义投影同步与参数识别

本文研究超混沌Liu系统的自适应广义投影同步与参数识别问题。基于自适应反馈控制技术,在响应系统参数未知的情况下设计了非线性控制器和参数自适应律,使2个参数不匹配的超混沌Liu系统在全局范围内实现广义投影同步,可用控制增益来调整同步的速度,同时实现对未知参数的识别。应用Lyapunov稳定性理论和LaSalle不变集原理从理论上证明了结论,并通过数值仿真验证所给方法的有效性。     

A self-adaptive synchronization controller for Liu chaotic systems

A kind of synchronization controller for Liu chaotic systems whose nonlinear components are subject to Lipschitz condition was proposed. By using Lyapunov function and linear matrix inequality technique, a self-adaptive synchronization controller was constructed for Liu chaotic systems. There are two components of our derived synchronization controller: linear and nonlinear component. Linear component is composed of errors of the state variables between driving-systems and responding-stems, and nonlinear component is a self-adaptive synchronization controller. a proof was given for proving the feasibility of this method, and numerical simulations of Liu chaotic systems show its effectiveness. Furthermore, this method can be applied to other chaotic systems, such as Chen systems, Lorenz systems, Chua systems and Rssler systems,etc.