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Third-order self-governing chaos system

A chaotic system and channel circuit technology, applied in transmission systems, digital transmission systems, security communication devices, etc., can solve the problems that the confidential communication system is difficult to continue to function, and information concealment cannot meet security requirements, etc., to achieve information processing and Promote secure communication, simple structure, simple circuit

Inactive Publication Date: 2009-01-28
CHONGQING UNIV
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

[0004] However, most of the existing third-order chaotic systems have been deeply studied by people. With the improvement of attack technology, the information concealment based on common third-order chaotic systems can no longer meet the current increasing security requirements. In the actual secure communication system hard to keep functioning

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  • Third-order self-governing chaos system
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  • Third-order self-governing chaos system

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Embodiment Construction

[0028] The present invention will be described in further detail below in conjunction with the accompanying drawings and specific embodiments.

[0029] Such as figure 1 Shown: a third-order autonomous chaotic system, including a mathematical model 1 and an implementation circuit 2, the mathematical model 1 is:

[0030] dx dt = y ( t ) - ax ( t ) dy dt = z ( t ) - bx ( t )...

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Abstract

The invention discloses a three-order autonomous chaotic system, comprising a mathematic model and a realization circuit. The mathematic model is constructed by two linear equation functions and a non-linear equation function, wherein the non-linear equation function is represented by a summation of a negative number of a maximum function and a positive constant number. The realization circuit consists of a first channel circuit, a second channel circuit, a third channel circuit and a function unit circuit, wherein, the first channel circuit, the second channel circuit and the third channel circuit respectively realize the two linear equation functions and the non-linear equation function of the mathematic model; and the function unit circuit realizes the maximum function. The chaotic system constructed by the mathematic model has a positive Lyapunov index, and can generate rich chaotic action. The three-order autonomous chaotic system has the realization circuit with a simple structure, is convenient for integration, and plays great role in promoting the chaotic system in the industrialization of information processing and secret communication.

Description

technical field [0001] The invention belongs to a chaotic system, in particular to a third-order autonomous chaotic system. Background technique [0002] Chaos is a seemingly irregular movement, which means that in a deterministic nonlinear system, random-like behavior can occur without adding any random factors. Due to its inherent randomness, initial value sensitivity, and irregular order, it has a very competitive application prospect in the fields of data encryption, information processing, and secure communication. An important index to measure the sensitivity of the system to the initial value is the Lyapunov exponent, which characterizes the characteristics of the system motion, and the chaotic system has at least one positive Lyapunov exponent. [0003] In chaotic secure communication, a chaotic signal is used to conceal useful information to be transmitted. It is well known that chaos cannot occur in first-order and second-order autonomous continuous-time systems,...

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Application Information

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IPC IPC(8): H04L9/00
Inventor 廖晓峰段书凯
Owner CHONGQING UNIV