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Production method of grid multiple butterfly wing chaotic attractors

A chaotic attractor and generation method technology, which is applied in the direction of secure communication through chaotic signals, digital transmission system, electrical components, etc., can solve the problems such as the method of generating chaotic attractors with multiple butterfly wings and grids with multiple butterfly wings.

Inactive Publication Date: 2016-11-23
CHONGQING UNIV OF POSTS & TELECOMM
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Problems solved by technology

However, in these invention patents for generating chaotic attractors with multi-butterfly wings and grid multi-butterfly wings, there is no specific method for generating chaotic attractors with multi-butterfly wings and grid multi-butterfly wings

Method used

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  • Production method of grid multiple butterfly wing chaotic attractors
  • Production method of grid multiple butterfly wing chaotic attractors
  • Production method of grid multiple butterfly wing chaotic attractors

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Embodiment Construction

[0037] The following describes the implementation of the present invention in detail with reference to the drawings and specific examples.

[0038] The method of the present invention is to scale the three-dimensional Lorenz chaotic system, add two first-order differential equations, and add a nonlinear coupling controller containing piecewise linear function to the two added first-order differential equations respectively, thereby Generate grid multi-butterfly wing chaotic attractor. The method for generating a grid multi-butterfly wing chaotic attractor designed in the present invention includes the following steps:

[0039] 1) Using the three-dimensional Lorenz chaotic system, determine or select its dimensionless state equation as follows:

[0040] x · 1 = a ( x 2 - x 1 ) , x · 2 = c x 1 - x 2 - x 1 x 3 , x · 3 = x 1 x 2 - b x 3 ,

[0041] Where a, ...

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Abstract

The invention relates to a production method of grid multiple butterfly wing chaotic attractors. The production method comprises the following steps of scaling a three-dimensional Lorenz chaotic system according to ratio, increasing two first order differential equations, respectively adding a non-linear coupling controller containing a sectional linear function on the two added first order differential equations, and producing the grid multiple butterfly wing chaotic attractors; controlling the number of grid multiple butterfly wing chaotic attractors by parameters. The production method has the advantages that the more complicated chaotic signals can be provided, and more selections are provided for chaotic confidential communication.

Description

Technical field [0001] The invention relates to a method for generating a grid chaotic attractor, in particular to a method for generating a grid multi-butterfly wing chaotic attractor. Background technique [0002] How to generate various chaotic signals required for chaotic secure communication is a new field of scientific research on nonlinear systems. A series of results have been achieved in the research on the generation method of the multi-scroll chaotic attractor and the two-wing butterfly chaotic attractor. At present, people have studied the multi-wing and grid multi-wing butterfly chaotic attractors with more complex dynamics. For example, the publication number CN103236920A discloses an improved four-dimensional unified multi-wing chaos system; and the publication number CN103957098A discloses a multi-butterfly attractor The chaotic circuit and implementation method of the sub-system; The Chinese Patent Application Publication No. CN104320244A discloses a chaotic cir...

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Application Information

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IPC IPC(8): H04L9/00
CPCH04L9/001
Inventor 张鹏黄沄赵卫峰李铮张刚
Owner CHONGQING UNIV OF POSTS & TELECOMM
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