Three-order non-autonomous nonlinear chaotic circuit

A chaotic circuit and non-linear technology, applied in the direction of secure communication through chaotic signals, electrical components, digital transmission systems, etc., can solve the problem that the security of the third-order chaotic system requires that the secure communication system is difficult to continue to function, and achieve a simple structure , broad prospects and functions, and easy-to-achieve effects

Active Publication Date: 2016-11-23
XIAN UNIV OF TECH
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Problems solved by technology

[0003] However, most of the existing third-order chaotic systems have been deeply studied by people. With the development and improvement of technology, the information of common third-order chaotic systems can no longer meet the increasing security requirements. Difficulty continuing to function

Method used

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  • Three-order non-autonomous nonlinear chaotic circuit
  • Three-order non-autonomous nonlinear chaotic circuit
  • Three-order non-autonomous nonlinear chaotic circuit

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Embodiment Construction

[0024] The present invention will be further described in detail below in conjunction with the accompanying drawings and specific embodiments, but the present invention is not limited to these embodiments.

[0025] The mathematical model of the third-order non-autonomous nonlinear chaotic circuit of the present invention is:

[0026]

[0027] In the formula, x, y, z are independent variables, α, ζ, a, b, β, μ, F are system parameters, and Fsin(t) is a periodic function that changes with time.

[0028] Formula (1) shows a third-order nonlinear non-autonomous chaotic circuit with external excitation, where x, y, z are independent variables, α, ζ, a, b, β, μ, F are system parameters, Fsin (t) is a periodic function that varies with time. Since the equation contains a variable t, it is necessary to change formula (1) into a fourth-order autonomous equation. Let θ=k+t, the equation is as follows:

[0029]

[0030] where (x,y,z,θ) T is the independent variable of the above...

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Abstract

The invention discloses a three-order non-autonomous nonlinear chaotic circuit which comprises three channels, wherein the first channel corresponds to a first function of a chaotic circuit characteristic equation; the second channel corresponds to a second function of the chaotic circuit characteristic equation; the third channel corresponds to a third function of the chaotic circuit characteristic equation; outputs of a first channel circuit are also used as two input signals of the second channel circuit; outputs of a second channel circuit are fed back to an input end and used as an input signal of the second channel circuit and an input signal of the first channel circuit; outputs of a third channel circuit are also used as an input signal of the second channel circuit, and fed back to the input end and used as an input signal of the third channel circuit. The nonlinear chaotic circuit is more novel and special; chaotic encryption is harder to crack. The circuit is simple in structure and easy to implement; rich and peculiar dynamic behaviors can be generated; the three-order non-autonomous nonlinear chaotic circuit has wide prospect and effect in the fields such as information processing and secret communication.

Description

technical field [0001] The invention belongs to the technical field of chaotic systems, and in particular relates to a third-order non-autonomous nonlinear chaotic circuit. Background technique [0002] As a definite but unpredictable state of motion, chaos has been extensively studied in the field of nonlinear dynamics. Nowadays, chaos has penetrated into various fields including biology, medicine, society, economy, information, control and so on. Because the chaotic system has rich and complex dynamic characteristics and dynamic behavior, it has a wide range of applications in information science, secure communication, industrial applications and even numerical algorithms. Therefore, in recent years, more and more new chaotic systems have been discovered and studied to analyze their chaotic characteristics and reveal rich nonlinear dynamic behaviors. [0003] However, most of the existing third-order chaotic systems have been deeply studied by people. With the developmen...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): H04L9/00
CPCH04L9/001
Inventor 杨宁宁吴朝俊徐诚贾嵘韩宇超
Owner XIAN UNIV OF TECH
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