基于余弦-指数混沌映射的分块图像加密算法

为平衡混沌映射中结构与性能的关系,保证加密系统安全性,提出一种基于余弦-指数混沌映射的分块图像加密算法。首先,通过非线性指数项对引入了Tent种子映射的余弦映射进行调制,构造新型余弦-指数混沌映射,并利用SHA-256函数产生与明文相关的密钥,生成随机性较强的混沌序列,实现一次一密;然后,基于拉丁方和位级转换,通过两轮拉丁方索引和比特位拼接,分别设计双重拉丁方和扩展比特位算法,并结合二维约瑟夫序列,对块间预置乱后的明文进行块内置乱,实现不同分块的差异化置乱;最后,基于Zig-Zag变换,采用环状仿Zig-Zag变换设计交叉Zig-Zag变换方法,将中间密文与混沌序列进行双向非线性扩散,实现同时改变像素位置与大小,完成图像加密。实验结果表明,该算法密钥空间大,能有效抵御差分分析和统计分析等典型攻击,具有较好的加密效果。     

基于云模型和余弦跳跃权重的改进蛙跳算法

标准蛙跳优化算法(SFLA)有寻优精度低和易陷入局部收敛区域的缺点, 为提高其性能, 提出一种基于云模型局部搜索和余弦跳跃权重更新位置的改进蛙跳算法(CSFLA). 首先通过Tent混沌映射和反向学习生成种群, 使种群的分布更均匀, 利用云模型的正态特性对子群中的优秀个体的所在区域进行探索. 同时, 对种群中其他个体引入基于余弦函数的跳跃步长权重, 使该权重在整个迭代过程中由高以不同的速率下降, 提高种群的全局搜索能力. 最后, 将CSFLA与多个优化算法在不同类型的测试函数上进行了比较. 结果表明, CSFLA具有更好的收敛速度和精度, 能有效找出全局最优解. 并且将改进算法应用至旅行商问题, 该算法可以找到总路程更短的路线.     

组合跳变随机平移宽间隔混沌跳频序列设计

为进一步提高宽间隔跳频序列的性能,基于混沌跳频序列,针对随机平移替代法存在的“窄点”平移与序列平衡性的矛盾问题,提出了一种新的组合跳变随机平移法。该方法在随机平移替代法的基础上取消“窄点”修正,引入组合跳变序列控制频点宽间隔映射。为兼顾组合跳变随机平移法产生序列的平衡性、汉明自相关性和宽间隔特性,构造了跳频序列的复合目标优化函数,引入粒子群算法计算得到最优的序列控制参数。仿真结果表明,组合跳变随机平移法可构造更多的序列,且产生的宽间隔混沌跳频序列具有更好的平衡性、汉明相关性和复杂度,采用粒子群优化获取的控制参数可以实现序列性能的均衡最优。     

Identification of Pivotal Causes and Spreaders in the Time‐Varying Fault Propagation Model to Improve the Decision Making under Abnormal Situation

Under abnormal conditions, timely and effective decisions of system recovery and protective measures are of great significance for safety‐critical systems. The knowledge of the roles that network nodes play in the spreading process is crucial for developing efficient maintenance decisions; for singling out and preferential control, the ‘pivotal spreaders’ may be a way to maximize the chances to timely hinder the fault pervasion. Inspired by the inhomogeneous topological nature of a complex fault propagation network, this study is devoted to exploring the spreading capabilities of nodes regarding both structural connectivity and causal influence strength, so as to provide decisions of preferential recovery actions under specific fault scenarios. Specifically, the dynamic betweenness centrality and nonsymmetrical entropy are incorporated to adaptively measure the system‐wide fault diffusion risk of a set of controllable fault events. In order to model the dynamics and uncertainties involved in the complex fault spreading process, we introduce the model of a dynamic uncertain causality graph, based on which solutions of time‐varying structure decomposition and causality reduction are adopted to improve the reasoning efficiency. Verification experiments consisting of simulated calculation cases and generator faults of a nuclear power plant show empirically the effectiveness and applicability of this method in large‐scale engineering practice. Copyright © 2014 John Wiley & Sons, Ltd.     

基于节点状态输出的动力学网络的自适应同步

基于微分方程不变原理,针对带有一般耦合函数的动力学网络,设计了实现网络同步的自适应同步方法.与其它的自适应同步方法相比较,该方法的优点是利用网络的一个节点的状态作为控制目标轨道来设计控制器.这一改进可以降低控制系统的维数,并且减少控制过程中各节点间的信息传递量.最后,通过一些数值算例验证所设计控制方法的有效性.     

Numerical solution of Riccati equation using the cubic B-spline scaling functions and Chebyshev cardinal functions

Two numerical techniques are presented for solving the solution of Riccati differential equation. These methods use the cubic B-spline scaling functions and Chebyshev cardinal functions. The methods consist of expanding the required approximate solution as the elements of cubic B-spline scaling function or Chebyshev cardinal functions. Using the operational matrix of derivative, we reduce the problem to a set of algebraic equations. Some numerical examples are included to demonstrate the validity and applicability of the new techniques. The methods are easy to implement and produce very accurate results.     

混沌背景中微弱信号参数估计新方法

本文提出一种基于单向耦合同步的混沌背景中谐波频率估计的新方法。该方法把混沌背景中的谐波频率估计问题转变为同步误差中的谐波频率估计问题,改善了信噪比,在混沌背景中存在强随机噪声情况下,仍能估计出谐波信号频率。仿真实验表明,该方法简单有效,计算量小,且估计效果要优于RBF神经网络方法。     

基于三维分割的图像加密算法

为了实现图像安全、快速加密,设计了一种新的数字图像混沌加密算法.仿真结果表明,该算法在没有扩散函数的情况下也能很好地改变图像的直方图,可以有效地抵制已知(选择)明文攻击,而且只有1次左映射或者右映射的情况下,该方法具有高置乱程度、良好的扩散性能和足够大的密钥空间,可获得足够高的安全性.     

Adaptive sliding mode control of chaotic dynamical systems with application to synchronization

We address the problem of control and synchronization of a class of uncertain chaotic systems. Our approach follows techniques of sliding mode control and adaptive estimation law. The adaptive algorithm is constructed based on the sliding mode control to ensure perfect tracking and synchronization in presence of system uncertainty and external disturbance. Stability of the closed-loop system is proved using Lyapunov stability theory. Our theoretical findings are supported by simulation results.