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Implementation method of multi-scroll chaotic attractors based on piecewise function method

A chaotic attractor and piecewise function technology, applied in the direction of secure communication, digital transmission system, electrical components, etc. through chaotic signals, can solve problems such as inability to unify, and achieve the effect of strong confidentiality and anti-interference ability

Inactive Publication Date: 2018-07-03
CHANGCHUN UNIV OF TECH
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Problems solved by technology

However, the above achievements are mainly based on integer-order chaotic systems, and there are few related achievements on fractional-order chaotic systems, which cannot be unified.

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  • Implementation method of multi-scroll chaotic attractors based on piecewise function method
  • Implementation method of multi-scroll chaotic attractors based on piecewise function method
  • Implementation method of multi-scroll chaotic attractors based on piecewise function method

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Embodiment Construction

[0033] The present invention will be described in detail below in conjunction with the accompanying drawings. Apparently, the described embodiments are only some, not all, embodiments of the present invention. Based on the embodiments of the present invention, all other embodiments obtained by persons of ordinary skill in the art without making creative efforts belong to the protection scope of the present invention.

[0034] like figure 1 As shown, the present invention provides a method for realizing multi-scroll chaotic attractors based on the piecewise function method. According to the definition of fractional order differential, a fractional order translational chaotic system is constructed, and it is pointed out that compared with the integer order, the fractional order system has more complex topological properties. Secondly, three methods for generating odd and even scroll attractors are proposed, including:

[0035] 1), in the three-dimensional ordinary differential...

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Abstract

The invention discloses an implementation method of multi-scroll chaotic attractors based on a piecewise function method. By introducing a piecewise function, the fractional-order chaotic system is subjected to translation transformation and parameters are set, and then 2(N+1)- and 2N+1- scroll attractors are generated. The fractional-order translation chaotic system perfects the field of fractional-order chaotic systems composed of three-dimensional one-time autonomous ordinary differentials. If the parameter settings of each subsystem are changed, and the subsystem can be equivalently transformed into other existing classical chaotic system. The system can be applied in the fields of chaotic synchronization, cryptography, circuit electronics, signal transmission, information processing,etc. Compared with the existing systems, the system is characterized in that the fractional order is more complex, so the fractional order has greater confidentiality and anti-interference ability when being used in the field of signal transmission and cryptography.

Description

technical field [0001] The invention relates to the field of electronic communication, in particular to a method for realizing a multi-scroll chaotic attractor based on a piecewise function method. Background technique [0002] In 1963, E, N, Lorenz discovered the first chaotic system, which established the starting point and cornerstone of chaos theory research. Many scholars have put forward their own research results successively, among which the typical achievements are Comrade Chen Guanrong proposed the Chen system, Lu Jinhu proposed the Lü system, and Lu Jinhu perfectly integrated the above systems together in 2002 to propose a unified chaotic system, etc. However, the above multi-scroll chaotic systems all belong to three-dimensional quadratic autonomous differential equations. In 1983, L.O.Chua created the Chua circuit in the laboratory, which was the first time to apply chaos theory to the actual circuit. The Jerk system proposed in 1993. Subsequently, many schol...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): H04L9/00
CPCH04L9/001
Inventor 刘越白文峰郭树旭
Owner CHANGCHUN UNIV OF TECH
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