Analysis of a kind of Duffing oscillator system used to detect weak signals  

作　　者：李月 杨宝俊 袁野 刘晓华 

机构地区：[1]Department of Information Engineering, Jilin University, Changchun 130012, China [2]Department of Geophysics, Jilin University, Changchun 130026, China

出　　处：《Chinese Physics B》2007年第4期1072-1076,共5页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China （Grant Nos 40374045 and 40574051）, and by the Jilin Technology Development Plan （Grant No 20050526）,

摘　　要：The stability of the periodic solution of the Duffing oscillator system in the periodic phase state is proved by using the Yoshizaw theorem, which establishes a theoretical basis for using this kind of chaotic oscillator system to detect weak signals. The restoring force term of the system affects the weak-signal detection ability of the system directly, the quantitative relationship between the coefficients of the linear and nonlinear items of the restoring force of the Duffing oscillator system and the SNR in the detection of weak signals is obtained through a large number of simulation experiments, then a new restoring force function with better detection results is established.The stability of the periodic solution of the Duffing oscillator system in the periodic phase state is proved by using the Yoshizaw theorem, which establishes a theoretical basis for using this kind of chaotic oscillator system to detect weak signals. The restoring force term of the system affects the weak-signal detection ability of the system directly, the quantitative relationship between the coefficients of the linear and nonlinear items of the restoring force of the Duffing oscillator system and the SNR in the detection of weak signals is obtained through a large number of simulation experiments, then a new restoring force function with better detection results is established.

关 键 词：Duffing oscillator system periodic phase state restoring force function SNR weak signal detection 

分 类 号：O231[理学—运筹学与控制论]