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The Construction Method of New Chaotic System Based on Fractal Algorithm

A technology of chaotic system and construction method, applied in transmission system, digital transmission system, secure communication through chaotic signal, etc. Improve the effect of key space

Active Publication Date: 2021-07-02
CENT SOUTH UNIV
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  • Abstract
  • Description
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Problems solved by technology

[0004] However, the current construction process of the chaotic system based on the fractal algorithm has poor applicability and poor flexibility, which restricts the popularization of the algorithm.

Method used

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  • The Construction Method of New Chaotic System Based on Fractal Algorithm
  • The Construction Method of New Chaotic System Based on Fractal Algorithm
  • The Construction Method of New Chaotic System Based on Fractal Algorithm

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Embodiment Construction

[0020] Such as figure 1 Shown is the schematic flow chart of the method of the present invention: the construction method of this novel chaotic system based on fractal algorithm provided by the present invention comprises the following steps:

[0021] S1. Select the three-dimensional chaotic system model, and use the chaotic sequence generated by the system as the input sequence of the fractal algorithm;

[0022] S2. Apply the chaotic sequence obtained in step S1 to the ternary fractal algorithm to obtain the final new fractal chaotic system; specifically, apply the chaotic sequence to the ternary fractal algorithm by using the following formula:

[0023]

[0024]

[0025] where x n ,y n ,z n is a three-dimensional chaotic sequence; R n , Q n and S n is the output fractal sequence; Δ 1 and Δ 2 is the variable factor of the set fractal algorithm.

[0026] In specific implementation, the fractal algorithm variable factor Δ 1 and Δ 2 An optimal scheme for the val...

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Abstract

The invention discloses a method for constructing a new chaotic system based on a fractal algorithm, which includes selecting a three-dimensional chaotic system and taking the chaotic sequence generated by it as the input sequence of the fractal algorithm; applying the obtained chaotic sequence to the ternary fractal algorithm to obtain the final A new type of fractal chaotic system. The construction method of this new type of chaotic system based on fractal algorithm provided by the present invention can construct many different chaotic systems by selecting different chaotic subsystems and increasing the number of fractals, which can not only improve the key space of the system, but also improve the applicability Strong, high flexibility.

Description

technical field [0001] The invention belongs to the field of electronic communication, and in particular relates to a construction method of a novel chaotic system based on a fractal algorithm. Background technique [0002] With the development of economy and technology, chaos science, as a kind of nonlinear dynamics, has attracted more and more attention from researchers from all walks of life. The good randomness, ergodicity, and unpredictability of chaotic signals have high application value in the field of information security. At the same time, in order to better improve the dynamic characteristics of chaotic systems, people are committed to research on strengthening chaotic systems. From single-scroll, single-wing chaotic system to multi-scroll, multi-wing chaotic system, from a low-dimensional chaotic system with a positive Lyapunov exponent to an ultra-chaotic system with multiple positive Lyapunov exponents, all are to obtain better performance Strengthen the chao...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): H04L9/00
CPCH04L9/001
Inventor 孙克辉戴圣求艾维贺少波
Owner CENT SOUTH UNIV
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