A multi-scroll hyperchaotic signal generator and its application method

A signal generator and multi-scroll technology, applied in the direction of secure communication through chaotic signals, secure communication devices, digital transmission systems, etc., can solve problems such as weak security, achieve enhanced security, large-scale engineering application value, and facilitate theory Effects of Analysis and Circuit Simulation

Active Publication Date: 2022-05-03
EAST CHINA JIAOTONG UNIVERSITY
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  • Abstract
  • Description
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Problems solved by technology

[0005] The technical problem to be solved by the present invention is to propose a multi-scroll hyperchaotic signal generating Signal generator capable of generating multi-scroll hyperchaotic attractors and methods of use thereof

Method used

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  • A multi-scroll hyperchaotic signal generator and its application method
  • A multi-scroll hyperchaotic signal generator and its application method
  • A multi-scroll hyperchaotic signal generator and its application method

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Embodiment Construction

[0035] The mathematical model corresponding to a multi-scroll hyperchaotic signal generator circuit in the embodiment of the present invention is:

[0036]

[0037] The mathematical model is a generalized Jerk system, where x, y, z, w, u are state variables, a, b, c, d, e are system control parameters, sgn(x+k i ) is a symbolic function. Under system control parameters a=1, b=0.5, c=2, d=2, e=2, initial conditions (0.1, 0.1, 0.1, 0.1, 0.1), when n=3, k 1 = 0,k 2 = 1,k 3 =-1, the system can generate four scrolls, when n=5,k 1 =0,,k 2 = 1,k 3 =-1,k 4 =2,k 5 =-2, the system can generate six scrolls, when n=7,k 1 =0,,k 2 = 1,k 3 =-1,k 4 =2,k 5 =-2,k 6 =3,k 7 =-3, the system can generate eight scrolls. The Lyapunov exponents calculated by the system through Matlab are: λ 1 =0.13223,

[0038] lambda 2 =0.13223,λ 3 =-1.132,λ 4 =-1.1324,λ 5 =-2, there are two positive Lyapunov exponents λ 1 ,λ 2 , so the system produces a hyperchaotic attractor.

[0039] Usi...

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Abstract

A multi-scroll ultra-chaotic signal generator and its use method, the signal generator is composed of an integral summation circuit, an inverting circuit and a piecewise function sequence generator V to realize the output of chaotic signals; the piecewise function sequence is generated The device V consists of a sign function circuit and is used to control the number of scrolls. The using method of the signal generator connects the same ports in the circuit, when the switches S1, S2 and S3 in the segmental function sequence generator V are closed, the signal generator can generate four scroll signals, when the switches S1, S2, S3 , S4 and S5 are closed, the signal generator can generate a six-scroll signal, and when all the switches in the segmented function sequence generator V are closed, the signal generator can generate an eight-scroll signal. The present invention is based on the simple form of the Jerk system, which is convenient for circuit realization, and the amplitude of the generated hyperchaotic signal is easy to adjust, and can be widely used in secure communication and image encryption.

Description

technical field [0001] The invention relates to a multi-scroll ultra-chaotic signal generator and a using method thereof, belonging to the technical field of chaotic circuits. Background technique [0002] In the early 1990s, Suykens and Vandewalle discovered multi-scroll chaotic attractors by adding turning points of nonlinear function curves in Chua circuits. Compared with common single-scroll or double-scroll chaotic attractors, multi-scroll and multi-wing chaotic attractors have more complex topology, and have broad application prospects in the fields of electronic communication and system control. [0003] The general method of constructing multi-scroll chaotic attractors is to use piecewise linear or nonlinear functions to transform some existing linear or nonlinear terms in chaotic systems, or to directly introduce piecewise linear or nonlinear functions into chaotic systems. The purpose is to increase the number of saddle-focus equilibrium points of index 2 in the s...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): H04L9/00
CPCH04L9/001H04L2209/12
Inventor 赖强万志强裴惠琴
Owner EAST CHINA JIAOTONG UNIVERSITY
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