A circular zone counting method of identifying a Duffing oscillator state transition and determining the critical value in weak signal detection

Identifying state transition and determining the critical value of the Duffing oscillator are crucial to indicating external signal existence and have a great influence on detection accuracy in weak signal detection. A circular zone counting （CZC） method is proposed in this paper, by combining the D...

Full description

Saved in:
Bibliographic Details
Published in:Chinese physics B 2015-06, Vol.24 (6), p.192-197
Main Author: 李梦平 许雪梅 杨兵初 丁家峰
Format: Article
Language:English
Subjects:
Circularity
Construction
Counting
Duffing oscillators
Lyapunov exponents
Mathematical models
Phase transformations
Signal detection
临界值
圆形区域
微弱信号检测
振荡器
最大Lyapunov指数
状态转换
计数方法
识别
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Identifying state transition and determining the critical value of the Duffing oscillator are crucial to indicating external signal existence and have a great influence on detection accuracy in weak signal detection. A circular zone counting （CZC） method is proposed in this paper, by combining the Duffing oscillator＇s phase trajectory feature and numerical calculation for quickly and accurately identifying state transition and determining the critical value, to realize a high- efficiency weak signal detection. Detailed model analysis and method construction of the CZC method are introduced. Numerical experiments into the reliability of the proposed CZC method compared with the maximum Lyapunov exponent （MLE） method are carried out. The CZC method is demonstrated to have better detecting ability than the MLE method, and furthermore it is simpler and clearer in calculation to extend to engineering application.
ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/24/6/060504