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

doi:10.1088/1674-1056/24/6/060504

Abstract 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.

Keywords: identifying state transition determining critical value Duffing oscillator circular zone counting method maximum Lyapunov exponent method

Received: 23 November 2014
Revised: 13 January 2015
Accepted manuscript online:

PACS:

05.45.-a

(Nonlinear dynamics and chaos)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 61172047 and 61071025).

Corresponding Authors: Xu Xue-Mei
E-mail: xuxuemei999@126.com

About author: 05.45.-a

Cite this article:

Li Meng-Ping (李梦平), Xu Xue-Mei (许雪梅), Yang Bing-Chu (杨兵初), Ding Jia-Feng (丁家峰) A circular zone counting method of identifying a Duffing oscillator state transition and determining the critical value in weak signal detection 2015 Chin. Phys. B 24 060504

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

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