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Fractional order four-system automatic switching chaotic system method and analog circuit

A chaotic system and automatic switching technology, applied in the direction of digital transmission system, transmission system, electrical components, etc., can solve the problem of less chaotic circuits

Inactive Publication Date: 2013-10-23
ZIBO VOCATIONAL INST
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

[0002] At present, there are many ways to use analog circuits to realize integer-order and fractional-order chaotic systems and circuits, but there are relatively few methods for using analog circuits to realize automatic switching chaotic circuits, and the disclosed automatic switching chaotic systems and circuits are integer order 2 There is no disclosure of a method and a circuit for automatic switching of multiple sub-chaotic systems. The present invention provides a method and an analog circuit for a chaotic system with automatic switching of four Qi-type fractional systems, which enriches the automatic switching of chaotic systems. The number and type of the chaotic system improves the randomness, and has a good application prospect in secure communication

Method used

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  • Fractional order four-system automatic switching chaotic system method and analog circuit
  • Fractional order four-system automatic switching chaotic system method and analog circuit
  • Fractional order four-system automatic switching chaotic system method and analog circuit

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Effect test

Embodiment 1

[0044] The method for automatically switching the chaotic system of the fractional order four systems based on the Qi type system comprises the following steps:

[0045] (1) According to Qi type chaotic system I is:

[0046] dx / dt = a ( y - x ) + yz dy / dt = cx - y - xz dz / dt = | x ...

Embodiment 2

[0064] like figure 1 As shown, an analog circuit for realizing the above method includes operational amplifier U1, operational amplifier U2, operational amplifier U3, operational amplifier U5, operational amplifier U8 and multiplier U4, multiplier U9, multiplier U10, multiplier U11 and voltage Comparator U7 and analog switch U6, described operational amplifier U1 connects voltage comparator U7, operational amplifier U5, operational amplifier U8, multiplier U4, operational amplifier U2, described operational amplifier U2 connects operational amplifier U1, operational amplifier U5, voltage Comparator U7, operational amplifier U8, described operational amplifier U3 is connected with operational amplifier U2, multiplier U4, described operational amplifier U5 is connected with analog switch U6, described voltage comparator U7 is connected with analog switch U6, and described operational amplifier U8 is connected with operation Amplifier U5, multiplier U9, multiplier U10, the multip...

Embodiment 3

[0071] like Figure 2-Figure 6 As shown, the specific circuit is:

[0072] The first pin of the operational amplifier U1 is connected to the second pin through the resistor Rx, connected to the sixth pin through the resistor R1, and the third pin, the fifth pin, the tenth pin, and the 12th pin are grounded , the 4th pin is connected to VCC, the 11th pin is connected to VEE, the 6th pin is first connected to the parallel connection of resistor Rc11 and capacitor C11, then connected to the parallel connection of resistor Rc12 and capacitor C12, and then connected to the parallel connection of resistor Rc13 and capacitor C13 The 7th pin, the 7th pin is connected to the 13th pin through the resistor R13, connected to the 2nd pin of U2 through the potentiometer R22, connected to the 1st pin of U4, connected to the 2nd pin of U5 through the resistor Ra1, connected to The 5th pin of U7 is connected to the 2nd pin of U8, connected to the 1st pin of U9, the 8th pin is connected to the...

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Abstract

The invention discloses a Qi type system-based fractional order four-system automatic switching chaotic system method and an analog circuit, which are a method for realizing construction of a Qi type fractional order four-system automatic switching chaotic system and an analog circuit implementation method. Two analog high and low levels are obtained by using a voltage comparator as control input of the analog switch, wherein x is greater than or equal to 0, x (0 and y) is equal to 0, or y is less than 0, and different outputs of f(xy) are realized according to four different conditions that x is greater than or equal to 0 and y is greater than or equal to 0, x is greater than 0, y is less than 0 and x (0 and y) is equal to 0, and x is less than 0 and y is less than 0, so that the four-system automatic switching chaotic system IX is realized and then the chaotic system X is realized through fractional order integration. According to the method and the analog circuit, the fractional order chaotic system for automatic switching of four Qi type subsystems is realized by using the analog circuit and is more complex than a chaotic system for automatic switching of two chaotic subsystems and a non-switched fractional order chaotic system, the randomness is stronger, and the method can be a new choice for a signal source of secret communication and has better application prospect in the secret communication.

Description

technical field [0001] The invention relates to a method for automatically switching chaotic systems of four systems of fractional orders, in particular to a method and an analog circuit for automatically switching chaotic systems of four systems of fractional orders based on a Qi type system. Background technique [0002] At present, there are many ways to use analog circuits to realize integer-order and fractional-order chaotic systems and circuits, but there are relatively few methods for using analog circuits to realize automatic switching chaotic circuits, and the disclosed automatic switching chaotic systems and circuits are integer order 2 There is no disclosure of a method and a circuit for automatic switching of multiple sub-chaotic systems. The present invention provides a method and an analog circuit for a chaotic system with automatic switching of four Qi-type fractional systems, which enriches the automatic switching of chaotic systems. The number and type of , ...

Claims

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Application Information

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IPC IPC(8): H04L9/00
Inventor 潘学海
Owner ZIBO VOCATIONAL INST