混沌理论在测量中的应用
APPLICATION OF CHAOTIC THEORY TO MEASURING
-
摘要: 混沌系统是一个极不稳定的系统,能否用它来稳定地测量信号?本文从理论上和电路实验中证实了这一问题肯定的回答。这是与原来线性系统中概念截然不同的测量方法。根据混沌理论分析,这种系统具有极高的灵敏度和分辨率。如果此原理能得到应用,那么对测量研究以及非线性科学应用研究将是一个突破。
-
关键词:
- 混沌; 测量; 非线性电路
Abstract: Chaotic system is extremely unstable. Can it be used for measuring signal? This paper proves that it can be either theoretically or experimentally. This measuring method is completely different from one of the linear system. Acconding to the analysis of chaotic theory, it has extremely high sensitivity and resolving power. If this principle can be used, the study of measurement and nonlinear applied science would be break through. -
Ott E, et al. Controlling chaos[J].Physical Rev. Lett.1990, 64(11):1196-1199[2]Haves S, et al. Communication with chaos physical[J].Rev. Lett.1993, 70(20):3031-3034[3]Wiggins S. Introduction to Applied Nonlinear Dynamical Systems and Chaos. New York: Springer Verlag, 1990, 1-56.[4]Cuan-ron Chen, et al. From chaos to order[J].Int. J. of Bifurcation and Chaos.1993,3(6):1363-1409[5]Cuomo K M, et al. Robustness and signal recovery in a synchronized chaotic system[J].Int. J. of Bifurcation Chaos.1993, 3(6):1629-1638[6]Chua L O. Chuas circuit 10 1994s later[J].Int. J. of Cirucit Theory and Application.1994,22:279-305[7]Hau Bai-lin.[8]Chao. Singapore: World Scientific, 1990, 1-50.[9]郑伟谋,郝柏林. 实用符号动力学. 上海:上海科技教育出版社,1994, 11-60.[10]Freeman W J. Tutorial on neurobiology, from single nourons to brain chaos[J].Int. J of Bifurcation and Chaos.1992, 2(3):451-482 -
计量
- 文章访问数: 2226
- HTML全文浏览量: 92
- PDF下载量: 489
- 被引次数: 0
下载:
