Abstract：According to the characteristics of three dimensional chaotic weak signal detection system, a new algorithm for determining the convergence was suggested with a combination of fourier transformation and Lyapunov algorithm. The wide area detection for acoustic weak signal by the three-dimensional Liu-cos chaotic system was proved. When the amplitude of the input acoustic signal is greater than the certain critical threshold, the output of the variable x becomes a cycle perturbation signal balanced on the input acoustic signal, the output of the variables y and z is converged to zero. The critical threshold of the Liu-cos chaotic weak signal detection system has uniqueness. It solves the two problems of the period convergence and narrow detection domain by using the traditional Duffing chaotic acoustic weak signal detection system. The actual experiment of Duffing chaotic acoustic signal detection system and three dimensional Liu-cos chaotic acoustic signal detection system were done. The performances of the chaotic systems in the actual acoustic detection experiment were analyzed.
刘剑鸣,习敬伟. Liu-cos混沌系统在声波弱信号检测中的应用[J]. 计量学报, 2018, 39(3): 386-391.
LIU Jian-ming,XI Jing-wei. Liu-cos Chaotic System and Its Application in Acoustic Weak Signal Detection. Acta Metrologica Sinica, 2018, 39(3): 386-391.
［1］聂春燕,石要武.基于混沌检测弱信号的混沌特性判别方法的研究［J］.计量学报,2000,21(4):308-313.
［2］衣文索,石要武,聂春燕.混沌态杜芬振子与弱正弦信号参量估计［J］.计量学报,2006,27(2):156-159.
［3］刘海波,吴德伟,金伟,等.Duffing振子微弱信号检测方法研究［J］.物理学报,2013, 62（5）:42-47.
［4］时培明,孙彦龙,韩东颖.基于双耦合混沌振子变尺度微弱信号检测方法研究［J］.计量学报,2016,37 (3):310-313.
［5］Lorenz E N.Deterministic nonperiodic flow［J］. J Atmos Science,1963,20（2）:130-141.
［6］Chen G,Ueta T. Yet another chaotic attractor［J］. International Journal of Bifurca-tion and chaos,1999,9(7):1465-1466.
［7］许喆,刘崇新,杨韬.一种新型混沌系统的分析及电路实现［J］.物理学报,2010,59（1）:131-139.
［8］Choe C U, Hohne K, Benner H, et al. Chaos suppression in the parame- trically driven Lorenz system［J］. Phys Rev E Stat Nonlin Soft Matter Phys,2005,72(3):036206.
［9］孟玲玲,宋艳君,王晓东.基于变形Lorenz系统微弱周期信号频率检测新方法［J］.计量学报,2013,34 (5):480-485.
［10］刘剑鸣,杨霞,宋菲菲, 等.五种新混沌弱信号检测系统设计［J］.计量学报,2016,37(5): 525-530.
［11］刘剑鸣,杨霞,高跃龙, 等.类Liu系统在水声微弱信号检测中的应用研究［J］.物理学报,2016,65 (7):070501.
2018, Vol. 39 
