Method for realizing integer order and fractional order automatic switching chaotic system and analog circuit

A chaotic system and automatic switching technology, applied in the direction of digital transmission system, logic circuit, transmission system, etc., can solve complex problems

Inactive Publication Date: 2012-06-13
JINZHONG POWER SUPPLY COMPANY OF STATE GRID SHANXI ELECTRIC POWER
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Problems solved by technology

[0002] There are many reports in the literature on the method of using analog circuits to realize integer-order chaotic systems. There are also reports in the literature on the methods of using analog circuits to realize fractional-order chaotic systems. There are also reports in the literature on methods and circuits for realizing automatic switching chaotic systems. The method and circuit to realize the automatic switching of integer order and fractional order chaotic system has not been reported, because the chaotic system of integer order and fractional order automatic switching is more complicated than integer order chaotic system, fractional order chaotic system and automatic switching system, and three Therefore, it is of great significance for the application of this chaotic system to propose a design method for automatically switching the chaotic system between integer order and fractional order, and to realize this chaotic system with analog circuits.

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  • Method for realizing integer order and fractional order automatic switching chaotic system and analog circuit
  • Method for realizing integer order and fractional order automatic switching chaotic system and analog circuit
  • Method for realizing integer order and fractional order automatic switching chaotic system and analog circuit

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Embodiment Construction

[0039] The present invention will be described in further detail below with reference to the drawings and preferred embodiments.

[0040] See Figure 1-Figure 7 First, construct an integer-order and fractional-order chaotic system that automatically switches. The integer-order chaotic system i selected in this preferred embodiment is:

[0041] dx / dt = a ( y - x ) dx / dt = bx + cy - xz dx / dt = x 2 - hz a=20, b=14, c=10.6, h=2.8

[0042] The selected fractional chaotic system ii is:

[0043] d q x / dt q = a ( y - x ) d q y / dt q = bx + cy - xz d q z / dt q = x 2 - hz ii 0

[0044] Construct a selection function system iii, and combine chaotic systems i and ii into a new chaotic system iv that automatically switches between integer order and fractional order:

[0045] f ...

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Abstract

The invention discloses a construction of an integer order and fractional order automatic switching chaotic system and an analog circuit realization method. The construction comprises an automatic switching system which is formed by an integer order chaotic system and a fractional order chaotic system, and the automatic switching system is realized by utilizing an analog circuit. According to the invention, automatic switching of the integer order chaotic system and the fractional order chaotic system is realized by utilizing the analog circuit, the integer order and fractional order automatic switching chaotic system is more complex than the integer order chaotic system, the fractional order chaotic system and the automatic switching system, and superiority of the above three systems are concentrated. The system provided by the invention has an important meaning in secret communication based on chaos and signal detection and has good application prospect.

Description

Technical field [0001] The invention relates to a method for realizing an integer-order and fractional-order automatic switching chaotic system by using an analog circuit, and in particular to a method and an analog circuit for realizing the integer-order and fractional-order automatic switching chaotic system. Background technique [0002] There are many reports in the literature on the method of realizing integer-order chaotic systems with analog circuits, the method of realizing fractional-order chaotic systems with analog circuits is also reported in the literature, and the methods and circuits for realizing automatic switching of chaotic systems are also reported in the literature, but using analog circuits The method and circuit for automatic switching between integer order and fractional order chaotic system has not been reported, because the chaotic system for automatic switching between integer order and fractional order is more complicated than integer order chaotic syst...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): H04L9/00H03K19/00
CPCH04L9/00H04L9/001H03K19/00
Inventor 王忠林杜玉杰张成亮
Owner JINZHONG POWER SUPPLY COMPANY OF STATE GRID SHANXI ELECTRIC POWER
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