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Chaotic system method and analog circuit for automatic switching of four systems of fractional order

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, and achieve the effect of good effect, stable signal and increased randomness

Inactive Publication Date: 2017-02-15
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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  • Chaotic system method and analog circuit for automatic switching of four systems of fractional order
  • Chaotic system method and analog circuit for automatic switching of four systems of fractional order
  • Chaotic system method and analog circuit for automatic switching of four systems of fractional order

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Embodiment 1

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

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

[0046]

[0047] (2) According to the Qi type chaotic system II:

[0048]

[0049] (3) Construct symbolic functions III and IV according to the chaotic system as:

[0050]

[0051]

[0052] (4) According to the Qi chaotic system V:

[0053]

[0054] (5) According to the Qi chaotic system VI:

[0055]

[0056] (6) According to the chaotic system, the selection function VII is:

[0057]

[0058] (7) According to the system I, II, V, VI and the selection function VII, construct a Qi-type four systems to automatically switch the chaotic system IX as:

[0059]

[0060] (8) Construct a Qi-type fractional order four systems automatically switch chaotic system X according to system IX:

[0061]

[0062] (9) Construct an analog circuit system according to the chaotic system X, and use a voltage comparato...

Embodiment 2

[0064] Such as figure 1 As shown, an analog circuit for implementing the above method includes an operational amplifier U1, an operational amplifier U2, an operational amplifier U3, an operational amplifier U5, an operational amplifier U8, a multiplier U4, a multiplier U9, a multiplier U10, a multiplier U11, and a voltage The comparator U7 and the analog switch U6. The operational amplifier U1 is connected to the voltage comparator U7, the operational amplifier U5, the operational amplifier U8, the multiplier U4, and the operational amplifier U2. The operational amplifier U2 is connected to the operational amplifier U1, the operational amplifier U5, and the voltage Comparator U7, operational amplifier U8, said operational amplifier U3 is connected to operational amplifier U2 and multiplier U4, said operational amplifier U5 is connected to analog switch U6, said voltage comparator U7 is connected to analog switch U6, and said operational amplifier U8 is connected to operational A...

Embodiment 3

[0071] Such as 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 a resistor Rx, and the sixth pin is connected through a resistor R1, and the third, fifth, tenth, and twelfth pins are grounded , The 4th pin is connected to VCC, the 11th pin is connected to GND, the 6th pin is first connected to the parallel connection of resistor Rc11 and capacitor C11, then the parallel connection of resistor Rc12 and capacitor C12, and then the parallel connection of resistor Rc13 and capacitor C13 The seventh pin, the seventh pin is connected to the 13th pin through the resistor R13, the second pin of U2 through the potentiometer R22, the first pin of U4, the second pin of U5 through the resistor Ra1, then The fifth pin of U7 is connected to the second pin of U8 and the first pin of U9. The eighth pin is connected to the ninth pin through a resistor R25. The thirteenth pin is connected to the fou...

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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 present invention relates to a method for automatically switching chaotic systems with fractional four systems, in particular, to a method and analog circuit for automatically switching chaotic systems with fractional four systems based on Qi-type systems. 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 few methods to realize automatic switching of chaotic circuits with analog circuits, and the disclosed automatic switching chaotic systems and circuits are integer-order 2 There is no method and circuit for automatic switching of multiple sub-chaotic systems. The present invention provides a method and analog circuit of a Qi-type fractional four-system automatic switching chaotic system, which enriches the automatic switching chaotic system The number and types of the chaotic system have improved the randomness of the chaotic sys...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): H04L9/00
Inventor 潘学海
Owner ZIBO VOCATIONAL INST
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