二分法快速求解Duffing混沌阈值的微弱信号检测  

Quickly Solving the Threshold of Duffing Chaos System for Weak Signal Detecting by Bisection Algorithm

作　　者：张菁[1] 王斌 叶家敏 

机构地区：[1]上海工程技术大学电子电气工程学院,上海201620 [2]上海西南工程学校,上海201100

出　　处：《实验室研究与探索》2016年第2期86-88,共3页Research and Exploration In Laboratory

基　　金：国家自然科学基金项目(51477099和51477100)

摘　　要：针对改进型Duffing混沌系统检测微弱信号,求解Lyapunov阈值时间过长问题,提出二分法实现快速求解Duffing系统由混沌到周期态的阈值。首先,以0.1步长的Lyapunov指数确定一个粗略的阈值;然后根据对分法快速收索DuffingHolmes振子混沌阈值的精确值,这一算法大大提高了阈值搜索速度,通过识别微弱信号仿真事例证明这种方法的有效性。In the improved Duffing system,detection signal is quite weak,hence,solving the chaos threshold takes a lot of time when one applies Lyapunov exponent criterion. The paper proposes a bisection algorithm to solve the problem.The algorithm can figure out the threshold value whcih makes Duffing system transfer from chaos state to period state.First,we take 0. 1 as the step length to find a threshold roughly based on the Lyapunov exponent. Then the bisection algorithm figures out the exact value for the threshold. The speed of calculating is speeded a lot,Simulation result proves the validity of this method.

关 键 词：二分法 DUFFING 微弱信号 LYAPUNOV指数 

分 类 号：TN98[电子电信—信息与通信工程]