Designed a new integer-order and three-dimensional cellular neural networks system.Through nonlinear dynamics analysis

numerical calculation and circuit simulation

the existence of chaotic attractor and realizability in physical about the system were verified.At the same time

studied the system's chaotic characteristics under the conditions of different combination about fractional order

q

i

(i=1

2

3)

by adjusting the linear parameter

b

.According to the theoretical analysis of each unit circuit of fractional-order circuit

designed a corresponding fractional order cellular n

eural networks system

which has variable parameter

b

and switchable

q

i

.Statically

the design can realize 13824 kinds of multiple combination circuits.This paper selects several representative combinational circuits for circuit simulation.The simulation results show that multiple circuit simulation and numerical simulation have similar chaos phase diagram

which confirmed the system still has rich dynamic characteristics under the condition of the fractional-order

also has flexible application value and realistic significance.