CAJ | 학술논문

针对单个Duffing振子检测微弱信号时相交判别计算量大、时间长、不易把握等问题,建立了一个单向驱动非线性耦合Duffing振子系统.根据横向Lyapunov指数分析了系统在混沌态到大尺度周期态时振子间运动轨迹的同步演化特性,提出了利用同步误差来判别相变的新方法.实验仿真表明,在强噪声背景下该耦合系统仍能够正确快速地检测出微弱信号.
침대단개Duffing진자검측미약신호시상교판별계산량대、시간장、불역파악등문제,건립료일개단향구동비선성우합Duffing진자계통.근거횡향Lyapunov지수분석료계통재혼돈태도대척도주기태시진자간운동궤적적동보연화특성,제출료이용동보오차래판별상변적신방법.실험방진표명,재강조성배경하해우합계통잉능구정학쾌속지검측출미약신호.
Considering the huge computation and long time calculation in phase transition identification of weak signal detection based on single Duffing oscillator,a unidirectional driving nonlinear coupled Duffing oscillator system is established.System synchronization state from chaotic state to large-scale periodic state is analyzed according to transverse Lyapunov exponent,and a novel method for phase transition identification based on synchronization error is proposed.Experiment simulation shows that this coupled Duffing oscillator system can quickly detect weak signal in strong noise.