新五维混沌系统及电路实现  

A New Five-dimensional Chaotic System and Its Circuit Implementation

作　　者：梁欣涛[1] 高华强[1] 康守强[1] 朱建良[1] 王玉静[1] 郑势[2] 

机构地区：[1]哈尔滨理工大学电气与电子工程学院,黑龙江省哈尔滨150080 [2]中国移动通信集团黑龙江有限公司网络管理部,黑龙江哈尔滨150028

出　　处：《哈尔滨理工大学学报》2015年第3期101-105,113,共6页Journal of Harbin University of Science and Technology

基　　金：黑龙江省青年科学基金(QC2014C075);哈尔滨市科技创新人才专项基金(2013RFLXJ019)

摘　　要：构建了新的五维混沌系统,进行离散混沌模型的仿真,给出了系统的混沌吸引子相图.对该系统的耗散性、吸引子的存在性、平衡点的稳定性、Lyapunov指数及维数、功率谱、Poincare截面图、Lyapunov指数谱、分岔图特性进行分析.结果表明该系统具有混沌特性,有复杂的动力学行为,且该行为对系统参数具有敏感性.为了使混沌得到更广泛应用,采用数字电路实现该系统,对离散化的五维混沌系统进行Modesim仿真,将VHDL程序配置到FPGA中,并利用数模转换模块在示波器上观测到了该系统的混沌吸引子相图.数字电路实验结果与离散模型仿真分析是一致的,进一步从物理实现上说明了系统的混沌特性.This paper describes the construction of a new five-dimensional chaotic system and the simulation of a discrete chaotic model, and includes chaotic attractor phase portraits of the system. A number of the system＇ s characteristics are analyzed, such as dissipativity, existence of attractors, stability of equilibria, Lyapunov expo- nent, Lyapunov dimension, power spectrum, Poincare sectional view, Lyapunov exponent spectrum, and bifurca- tion diagram This analysis shows that the system has chaotic characteristics and complex dynamic behavior that is sensitive to the system parameters. To enhance its applicability, the system is physically realized using digital cir- cuits, and the discrete five-dimensional chaotic system is simulated using ModelSim. VHDL programs are con- figured into a field-programmable gate array, and chaotic attractor phase portraits are observed through an oscillo- scope. The experimental results from this digital circuit coincide with the simulation analysis of the discrete model, providing further proof of the chaotic characteristics of the system.

关 键 词：混沌系统 分岔图 LYAPUNOV指数 电路实现 

分 类 号：TN911.73[电子电信—通信与信息系统]