共查询到14条相似文献,搜索用时 62 毫秒
1.
2.
3.
构造超混沌系统在目前并非难事,在Chua系统基础上构造具有多涡卷拓扑结构的吸引子也有很多系统方法,但较少有文献讨论基于Lorenz系统族的拥有多翼结构吸引子的光滑混沌系统,而同时具备超混沌特性和多翼拓扑结构吸引子的光滑混沌系统则更少报道.在现有超混沌系统的基础上,分析其共性,并利用坐标变化方法将其转为具有四个翼的超混沌吸引子.该方法在保留了系统原有超混沌特性的基础上,增加了吸引子的拓扑结构复杂性,使之更适合保密通信等领域的应用.
关键词:
多涡卷吸引子
多翼吸引子
超混沌 相似文献
4.
通过对一个五维超混沌系统施加平移变换、镜像映射和滞回切换操作,将多翼混沌吸引子结构由双翼倍增为四翼.施加n-1次相似操作可以得到2n翼的超混沌吸引子.设计了一个简单的电路实现吸引子翼数量的倍增.该方法在保留了系统原有超混沌特性的基础上,增加了吸引子的拓扑结构复杂性,使之更适合保密通信等领域的应用.
关键词:
多涡卷吸引子
多翼吸引子
超混沌系统 相似文献
5.
6.
7.
提出了基于数字信号处理(DSP)实现四涡卷超混沌吸引子的方法.利用四阶龙格库塔法对连续四维超混沌系统进行离散化处理,用C语言编写源程序,并在CCS编译器上编译、调试和仿真成功后,下载固化到DSP芯片内,实现四涡卷超混沌吸引子,硬件实验与软件仿真结果完全一致. 相似文献
8.
将简化Lorenz系统线性化成两个线性系统,采用控制方法得到两涡卷混沌系统,通过扩展两涡卷混沌系统的指标2鞍焦点,设计了多涡卷混沌吸引子.利用相图、分岔图、Poincaré截面和最大Lyapunov指数等方法,分析了该多涡卷混沌系统的动力学特性.设计了多涡卷混沌吸引子的模拟电路,并进行了仿真,数值仿真与电路仿真相一致.将多涡卷混沌系统应用于图像加密,设计了多涡卷混沌与高级加密标准(AES)的改进混合加密算法,并分析了其加密性能.结果表明,基于多涡卷混沌系统的改进混合加密算法具有更高的安全性. 相似文献
9.
10.
提出用三角波序列产生三维多涡卷混沌吸引子的新方法.分析了用三角波序列构造多涡卷 系统的混沌动力学特性,设计了硬件实验电路,进行了相关的电路实验研究.该混沌电路由 积分器N11、三角波序列发生器N22,N33,N44 sub>和联动转换开关K共3个部分构成,主要特 点是三角波序列的幅度、宽度、平衡点、转折点、斜率等参数可调,从而能产生大小和形状 可调的多涡卷.此外,通过联动开关K的转换可控制涡卷的数量.硬件电路实验研究结果表明
关键词:
三维多涡卷混沌吸引子
三维多涡卷混沌电路
三角波序列
电路实验 相似文献
11.
Generation and synchronization of N-scroll chaotic and hyperchaotic attractors in fourth-order systems 下载免费PDF全文
Based on our previous works and Lyapunov stability theory, this paper studies the generation and synchronization of N-scroll chaotic and hyperchaotic attractors in fourth-order systems. A fourth-order circuit, by introducing additional breakpoints in the modified Chua oscillator, is implemented for the study of generation and synchronization of N-scroll chaotic attractors.This confirms the consistency of theoretical calculation, numerical simulation and circuit experiment.Furthermore,we give a refined and extended study of generating and synchronizing N-scroll hyperchaotic attractors in the fourth-order MCK system and report the new theoretical result, which is verified by computer simulations. 相似文献
12.
Due to the dynamic characteristics of the Chua's system, multi-scroll chaotic attractors are still confined in a single block and fail to break the limit. This paper proposes an approach for generating novel multi-block multidirectional grid multi-scroll chaotic attractors that can break the limit via novel nonlinear modulating functions. According to this method, the recursion rules used to generate multi-block multidirectional grid multi-scroll attractors are mathematically obtained. The new system is autonomous; the effectiveness of this method has been verified by theoretical analysis, numerical simulation, and circuit implementation. 相似文献
13.
This Letter proposes a novel thresholding approach for creating multi-scroll chaotic attractors. The general jerk circuit and Chua's circuit with sine nonlinearity are then used as two representative examples to show the working principle of this method. The controlled jerk circuit can generate various limit cycles and multi-scroll chaotic attractors by tuning the thresholds and the width of inner threshold plateau. The dynamic mechanism of threshold control is further explored by analyzing the system dynamical behaviors. In particular, this approach is effective and easy to be implemented since we only need to monitor the threshold variables or their functions and then reset them if they exceed the desired thresholds. Furthermore, two simple block circuit diagrams with threshold controllers are designed for the implementations of 1, 2, 3-scroll chaotic attractors. It indicates the potential engineering applications for various chaos-based information systems. 相似文献
14.
提出一种利用多项式和阶跃函数构造N×M涡卷的构造方法.利用蔡氏电路,传统的利用多项式函数只能产生双涡卷、三涡卷,在此基础上,通过多项式平移得到相空间x方向的多涡卷,再通过多项式与阶跃函数组合来扩展相空间中指标2的鞍焦平衡点,使得多涡卷向y方向延伸,从而生成网格多涡卷混沌吸引子.该构造方法的主要特征是通过光滑曲线和非光滑曲线的组合生成网格多涡卷混沌吸引子,能通过调整自然数N和M的值实现平面网格任意涡卷混沌吸引子阵列.理论分析、数值模拟和电路仿真证实了方法的可行性.
关键词:
网格多涡卷混沌吸引子
蔡氏电路
阶跃函数
电路实现 相似文献