摘要
针对Duffing振子微弱信号检测中相变(即混沌态与大尺度周期态状态的转变)判别算法复杂、计算量大等问题,推导了对Holmes型Duffing振子的增量谐波法求解方程,根据计算结果分析了相变过程中系统解的谐波特性,利用系统解与周期策动力的相位变化规律,提出一种用相位差值来判别相变的新方法。数值仿真和实验测试表明,在强噪声背景下系统相轨迹波动严重,但该方法仍能对系统相变实时准确地判别。
Considering the algorithm complexity and huge computation in phase transition （transition between chaotic state and large-scale periodic state） identification of weak signal detection derived from Duffing oscillator, this paper solves the equation of Homes-type Duffing oscillator using incremental harmonic balance method. The harmonic characteristics of the system solution in phase transition are analyzed according to the calculation results, and a novel phase difference method for phase transition identification based on phase change law of the system solution and periodic driving force is proposed. Numerical simulation and experimental test show that the phase trace fluctuates severely under strong noise background; however, this method still accurately identifies phase transition in real time.
出处
《仪器仪表学报》
EI
CAS
CSCD
北大核心
2010年第1期161-165,共5页
Chinese Journal of Scientific Instrument
基金
国家863计划(2007AA06Z228)资助项目
