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Method for generating chaos sequence based on fractional order discrete mapping

A generation method and chaotic sequence technology, applied in the field of random signal sources, which can solve the problems of single signal and restricted application.

Inactive Publication Date: 2014-05-07
吴国成 +2
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  • Summary
  • Abstract
  • Description
  • Claims
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Problems solved by technology

[0004] The purpose of the present invention is to provide a chaotic sequence generation method based on fractional discrete mapping, which aims to solve the problems of single signal, restricted application and potential safety hazards generated by the current classical chaotic mapping method

Method used

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  • Method for generating chaos sequence based on fractional order discrete mapping
  • Method for generating chaos sequence based on fractional order discrete mapping
  • Method for generating chaos sequence based on fractional order discrete mapping

Examples

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Embodiment

[0041] A chaotic sequence generation method based on fractional discrete maps, such as figure 1 shown, including the following steps:

[0042] (1) Input system parameters

[0043] Using Anastassiou (Reference: G.A. Anastassiou, About Discrete Fractional Calculus with Inequalities, Intelligent Mathematics: Computational Analysis Intelligent Systems Reference Library Volume5, 2011, pp575-585.) and Abdeljawad (Reference: T. Abdeljawad, On Riemann and Caputofference, Comput.Math.Appl.62 (2011) 1602-1611.) Proposed fractional order discrete difference definition:

[0044] Δ a v C u ( t ) = 1 Γ ( 1 - v ) Σ s = a ...

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Abstract

The invention provides a method for generating a chaos sequence based on fractional order discrete mapping. Fractional order discretization is conducted on a classical chaos equation, so that fractional order mapping is obtained, and a chaos signal is generated through the mapping. System parameters in the method are more and a signal track is more complex, so that a signal provided by the method has the advantages of being high in randomness and complexity degree and the method can be used in the fields of data encryption, confidential communication, information safety and the like.

Description

technical field [0001] The invention belongs to the technical field of random signal sources, and in particular relates to a chaotic sequence generation method based on fractional discrete mapping. Background technique [0002] Chaos is one of the three major sciences of the twentieth century. Chaos has the characteristics of aperiodicity, region ergodicity, initial value sensitivity and so on. In particular, chaos mapping has a very wide range of applications in the fields of biological network, image processing, secure communication, synchronization control, etc., and is attracting more and more attention. [0003] However, at present, the signal generated based on the classical chaotic mapping method is single, and the application in the above fields is greatly restricted. For example, in the classical chaotic mapping method, there are few parameters, the signal is easy to be deciphered, and there are security risks in practical applications. Contents of the invention...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): H04L9/00
Inventor 吴国成曾利刚石祥超杜米特鲁·伯莱亚努吴斐
Owner 吴国成
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