Design of a discrete-time CNN using 1-dimensional chaos circuits with controllable nonlinear functions

Abstract

In this paper, a discrete-time CNN using 1-dimensional chaos circuits with controllable nonlinear functions is proposed. The proposed CNN consists of p×q 1-dimensional chaos circuits which are called cell circuits. The nonlinear functions of the cell circuits can be controlled by employing fuzzy scherne. Thanks to the controllability of the nonlinear functions, the proposed circuit can adjust transition behavior of the CNN, electronically. Furthermore, the chaotic behavior of the cell circuit which is a portion of the proposed CNN is simple since the cell circuit is a 1-dimensional chaos circuit. To confirrn the validity of the proposed CNN, two types of nonlinear dynamical phenomena are observed by SPICE simulations: chaos synchronization phenomenon and traveling wave phenomenon. The proposed CNN is integrable by a standard BiCMOS technology.