Secure image encryption scheme using 4D-Hyperchaotic systems based reconfigurable pseudo-random number generator and S-Box

This paper introduces the design of a hardware efficient reconfigurable pseudorandom number generator (PRNG) using two different feedback controllers based four-dimensional (4D) hyperchaotic systems i.e. Hyperchaotic-1 and -2 to provide confidentiality for digital images. The parameter's value of these two hyperchaotic systems is set to be a specific value to get the benefits i.e. all the multiplications (except a few multiplications) are performed using hardwired shifting operations rather than the binary multiplications, which doesn't utilize any hardware resource. The ordinary differential equations (ODEs) of these two systems have been exploited to build a generic architecture that fits in a single architecture. The proposed architecture provides an opportunity to switch between two different 4D hyperchaotic systems depending on the required behavior. To ensure the security strength, that can be also used in the encryption process in which encrypt the input data up to two times successively, each time using a different PRNG configuration. The proposed reconfigurable PRNG has been designed using Verilog HDL, synthesized on the Xilinx tool using the Virtex-5 (XC5VLX50T) and Zynq (XC7Z045) FPGA, its analysis has been done using Matlab tool. It has been found that the proposed architecture of PRNG has the best hardware performance and good statistical properties as it passes all fifteen NIST statistical benchmark tests while it can operate at 79.101-MHz or 1898.424-Mbps and utilize only 0.036 %, 0.23 %, and 1.77 % from the Zynq (XC7Z045) FPGA's slice registers, slice LUTs, and DSP blocks respectively. Utilizing these PRNGs, we design two 16 × 16 substitution boxes (S-boxes). The proposed S-boxes fulfill the following criteria: Bijective, Balanced, Non-linearity, Dynamic Distance, Strict Avalanche Criterion (SAC) and BIC non-linearity criterion. To demonstrate these PRNGs and S-boxes, a new three different scheme of image encryption algorithms have been developed: a) Encryption using S-box-1, b) Encryption using S-box-2 and, c) Two times encryption using S-box-1 and S-box-2. To demonstrate that the proposed cryptosystem is highly secure, we perform the security analysis (in terms of the correlation coefficient, key space, NPCR, UACI, information entropy and image encryption quantitatively in terms of (MSE, PSNR and SSIM)).     

交通流的有序运动与混沌运动相互转化现象的仿真研究

用Matlab软件编制皮埃莱(Bieriey)模型来产生仿真交通流。在一定的参数组合下,仿真研究了交通流车队中前后车辆之间的车头间距的变化过程。分析了这种车头间距变化过程的曲线。给出该曲线的二维(间距差与速度差)和三维(间距差、速度差、时间)相图。从相图上可以明显地看出存在奇怪吸引子,这说明基于跟驰模型产生的交通流存在着混沌现象。从相图还可以清楚地看出交通流混沌运动与有序运动之间的转化过程。联系交通流的实际情况,对仿真结果做了分析。     

混沌理论对建筑与城市设计领域的启示

混沌理论给人类思维方式带来了深刻的变革。本文简要介绍了混沌理论的五个要点及其适用对象,针对每个要点探讨了对建筑与城市设计领域的启示,指出复杂性是城市的本质属性,要实现城市与建筑的可持续发展应该将它们视为有生命的存在。     

一个新的四维混沌吸引子及其信息加密研究

为了获得更为复杂新颖的混沌信号源,提出了一个新的四维混沌系统,其吸引子形状类似于图像"四凤朝阳",并且利用该混沌信号源来实现信号加密和图像加密的方法,并利用迭代次数和混沌信号的加减手段来设置密码,为信息加密提供了一种新方法。     

非线性动力学理论在反应堆噪声分析中的应用研究

利用非线性动力学理论，给出了反应堆噪声功率振荡的非线性特性的差别方法，并对实际信号进行了处理。结果表明热态模拟运行时，反应堆的功率振荡易发生Hopf分叉，圆周形吸引子是存在的，随机噪声会对维数产生较大的干扰，但基本未改变吸引子的形状。该方法对反应堆的详细分析有一定的实际意义。     

一种三维植物叶片生成算法的研究及实现

不同树种的叶片形态结构也大不相同,根据植物形态学原理和实际观测结果得出刺柏叶的叶片形态特点,得出它们的自相似性。在此基础上采用分形图形学技术,给出刺柏叶的仿射变换矩阵,将叶片的计算机模拟由传统的二维点绘制方法,拓展成三维以面为单位的绘制方法,提高真实感。在OpenGL环境下结合虚拟现实技术可以从各个角度对生成叶片进行多方位浏览。     

Nonlinear characteristics and functional analysis of masseter electromyography

The C-C method was adopted to analyze the nonlinear characteristics of masseter electromyography (EMG) signals and the chaotic degree by the largest Lyapunov exponent (LLE) of different genders and sides.First,the embedding dimension and the delay time were obtained through this method,then the phase space was reconstructed to resume the chaotic attractor and determine the LLE.The result shows that the trajectory of attractor is denser than Chen's attractor,and the LLE is positive,which means that not only ...     

一类超混沌系统电路实现及其动力学分析

针对如何生成超混沌信号问题,通过在一个3维混沌Lü系统的电路中简单地加载一个积分电路,实现了一类超混沌系统电路.电路仿真获得了这类系统的超混沌吸引子及混沌、周期和准周期吸引子.并对实验电路所对应的四维连续自治耗散系统方程进行了分析和数值仿真,论证了这些系统电路的超混沌现象及其动力学特性.提出的超混沌系统电路实现简单,具有工程应用价值.     

线性时滞状态反馈下Stuart-Landau系统的多周期解

对一个stuart-landau系统引入时滞状态反馈,研究时滞对非线性系统动力行为的影响。发现时滞可使系统出现周期振动,与无时滞系统不同之处在于有多个周期吸引子共存的现象。从理论上预测由时滞导致的动力学行为,得到周期解的解析形式。随着时滞量的变化,周期解个数及其稳定性发生变化。并通过对比周期解的数值解和解析解,数值验证多周期吸引子共存的现象。这些结果对控制系统的振动和系统同步等有着潜在的应用价值。     

气液固三相并流系统流型的混沌识别

运用确定性混沌分析技术，研究了气液固三相并流系统散式鼓泡流、聚式鼓泡流、柱塞流、泡沫流及环状流压力波动信号的混沌动力学行为。结果表明，吸引子可以用来表征气液固三相并流系统的动力学行为，混沌特征参数相关维D2和K熵可以用来定量识别以上五种流型。以混沌定量识别为基础，给出了三相并流系统的流型图。