n×m涡卷混沌吸引子的研究及硬件实现

J4 ›› 2009, Vol. 26 ›› Issue (6): 715-721.

n×m涡卷混沌吸引子的研究及硬件实现

周武杰^1,2 禹思敏¹ 徐伟¹

1 广东工业大学自动化学院，广东广州 510006； 2 浙江科技学院信息与电子工程学院，浙江杭州，310023

发布日期:2009-11-03
通讯作者: 禹思敏（1957-），男，湖南双峰人，博士生导师，主要研究方向为混沌理论与保密通信。 E-mail:siminyu@163.com
作者简介:周武杰（1983-），男，浙江台州人，硕士研究生，主要研究方向为非线性电路的分析与设计。E-mail：wujiezhou@163.com
基金资助:
国家自然科学基金（60572073,60871025）; 广东省自然科学基金（ 8151009001000060, 8351009001000002）

Study and hardware implementation of n×m-scroll chaotic attractors

ZHOU Wu-Jie^1,2, YU Si-Min¹, XU Wei¹

1 College of Automation, Guangdong University of Technology, Guangzhou 510006, China； 2 School of Information and Electronic Engineering, Zhejiang University of Science and Technology, Hangzhou 310023, China

Online:2009-11-03

摘要/Abstract

摘要：

提出了产生n×m涡卷混沌吸引子的一种新方法，用三角波函数序列和阶跃函数序列构造网格多涡卷混沌系统，找出函数中平衡点和转折点的值，并对系统的基本动力学特性进行了研究，包括理论分析和计算机模拟仿真。用模块化的方法设计了现场可编程门阵列（FPGA）硬件实验电路，给出了相关的实验结果。计算机仿真和FPGA硬件实验结果相吻合，由此证明了该系统的混沌特性。

关键词: 混沌, n×m涡卷混沌吸引子, 三角波函数序列, 阶跃函数序列, FPGA硬件实现

Abstract:

A novel approach for generating n×m-Scroll chaotic attractors is proposed .The grid multi-scroll chaotic system is constructed by triangular wave series and step function sequence , and we find the value of the turning point and the balance point in above function. Basic dynamic properties of the system are investigated via theoretical analysis and computer simulation. Modularization design of circuit based on field programmable gate array (FPGA) was used to realize the chaotic system , then the relevant experimental results is given. Circuit experiment is identical to computer simulation, so chaotic characteristic is verified.

Key words: chaos, n×m-scroll chaotic attractors, triangular wave series, step function sequence, FPGA hardware implementation

周武杰禹思敏徐伟. n×m涡卷混沌吸引子的研究及硬件实现[J]. J4, 2009, 26(6): 715-721.

ZHOU Wu-Jie, YU Si-Min, XU Wei. Study and hardware implementation of n×m-scroll chaotic attractors[J]. J4, 2009, 26(6): 715-721.

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