蔡氏电路的功能全同电路与拓扑等效电路及其设计方法

基于经典蔡氏电路方程的电容电压与电感电流变量及其状态方程归一化特点,提出了三种标度化、优化的电路设计方法:一种是方程变量都为电压的5运放电源限幅蔡氏电路,便于大规模集成;两种二极管非线性构成的功能全同蔡氏电路,与限幅非线性电路优势互补,可供大规模集成的细胞神经网络系统设计;同时,给出了与蔡氏电路为微分同胚电路的优化三次方蔡氏电路.各电路设计方法适用于以三折线为主的三次型混沌电路.最后,将本文提出的电路设计方法应用于混沌保密通信,实验表明该方法具有实用性和一定的应用价值.

Equivalent circuit in function and topology to Chua’s circuit and the design methods of these circuits

The characteristics of classical Chua's circuit variables proposed by Leon O. Chua are the voltage on capacitor, the current in inductor and its normalized equation of state. Based on these characteristics, in this paper, three optimized and scaled circuit design methods are proposed. One is the Chua's circuit with five operational amplifiers used for limiting power amplitude for integration. The other two are Chua's function equivalent circuits with nonlinear diode for cellular neural network system integration. At the same time, an optimized cubic form of Chua's diffeomorphism circuit is given. The methods of designing these circuits are applicable to the cubic random circuits dominated by three broken lines. The universality and practical application of design method are demonstrated in the experiment on chaos secure communication.
Keywords：chaosChua's circuitcircuit of congruent effectcircuit design