【摘要】 混沌系统对初值有很高的敏感性,用这种特性来测量小信号是很好的有应用前景的方法.因混沌系统对噪声也有很高的敏感性,在较强的噪声环境中,是否也能实现对小信号的测量,抑制噪声对测量系统混沌轨道的干扰是关键.可以认为将多个混沌测量电路耦合起来同时进行测量是一种可以抑制噪声的全新方法,这里对两个混沌测量系统的耦合进行了分析和数值实验,基于符号动力学理论,以及借鉴混沌同步的研究方法,数值结果表明,在合适的耦合条件下,该方法确能有效抑制噪声.更多还原

【Abstract】 A potentially feasible method is the use of a chaotic system’s high sensitivity under initial conditions to detect weak signals. But as a chaotic system is highly sensitive to noise, in very noisy environment, achievement of weak signals detection depends on whether or not the noise affecting the chaotic trajectories of the measuring system can be reduced. A new measuring method that can do this is proposed, i.e. to detect weak signals by using many coupled chaotic measurement circuits simultaneously. In this paper, a circuit consisting of two identical measuring units was studied analytically and numerically. Symbolic dynamics, and achievements in chaos synchronization research as reported in references were applied in numerical simulations showing the method is effective in reducing the noise in chaotic measurements.更多还原