Chaotic fractional order encryption circuit
An encryption circuit and fractional-order technology, applied in the direction of secure communication through chaotic signals, electrical components, complex mathematical operations, etc., can solve the problems of long time consumption, encryption, and unsatisfactory encryption efficiency of encryption modules, and achieve high reliability and encryption high efficiency effect
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[0034] The technical solution of the present invention will be further described below in conjunction with the accompanying drawings.
[0035] The described chaotic fractional-order encryption circuit includes a data encryption function module built with a fifth-order fractional-order chaotic memory group circuit as the core, and the design method of the described fifth-order fractional-order chaotic memory group circuit is as follows:
[0036] (1) if figure 1 As shown, referring to the nonlinear circuit of two fractional order memristors, the corresponding differential equation is obtained:
[0037]
[0038] (2) Define nonlinear functions q(ξ) and W(ξ) respectively, and let
[0039] x=φ 1 ,y=φ 2 ,z=v 3 ,u=v 4 ,v=i 5 , d=G,e=R,C 2 = 1
[0040] q(ξ)=ξ+ξ 3
[0041]
[0042] Then the above equation of state can be written as:
[0043]
[0044] W in the above formula 1 =1+3x 2 , W 2 =1+3y 2 ;
[0045] (3) Discretize the above formula to get: In the for...
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