分段线性混沌电路的综合方法研究

Research on synthesis methodology of piecewise linear chaotic circuit

本文研究了分段线性混沌电路的一种电路综合方法.首先根据电路系统的特征值参数,确定非线性元件参数和线性一端口电路的导纳.然后根据导纳函数确定与之对应的一端口电路形式.在电路综合过程中,本文采用两类基本导纳函数的并联形式实现一端口电路,可以始终使所用电感和电容为正值,所用负电阻共地,便于混沌电路的实现.最后给出了混沌系统电路综合的实例.

Chaotic oscillator can be produced by a single piecewise-linear element connected to a linear circuit. In this paper, the process of synthesizing the piecewise-linear chaotic circuit is discussed. Firstly, The parameters of the nonlinear element and the admittance function of the one-port circuit are determined by the eigenvalues of the system. Secondly, the one-port circuit is designed according to the admittance function. The one-port circuit can be realized with two kinds of basic admittance functions in parallel. The inductance and the capacitance of the circuit are always positive, and the negative resistances are always commonly grounded. Finally, the example of synthesizing chaotic circuit with the proposed method in presented.