A Synchronization Circuit for Fractional Order Switched Chaotic System

A chaotic system and synchronous circuit technology, applied in the direction of digital transmission system, transmission system, electrical components, etc., can solve the problems of synchronous control of switching chaotic system and limitation of switching chaotic system, and achieve the effect of high application value

Active Publication Date: 2017-10-03
HARBIN ENG UNIV
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  • Abstract
  • Description
  • Claims
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Problems solved by technology

The reported fractional order switching chaotic system only realizes the switching between systems, and does not perform synchronous control on the switched chaotic system, which limits the application of the switched chaotic system

Method used

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  • A Synchronization Circuit for Fractional Order Switched Chaotic System
  • A Synchronization Circuit for Fractional Order Switched Chaotic System
  • A Synchronization Circuit for Fractional Order Switched Chaotic System

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Embodiment Construction

[0028] The present invention will be described in further detail below in conjunction with the accompanying drawings.

[0029] The present invention adopts following technical means to realize the object of the invention:

[0030] 1. The construction of fractional order switching chaotic system includes the following steps:

[0031] (1), fractional order Chen chaotic system:

[0032]

[0033] (2) In fractional order Chen, change the nonlinear term xy in the third equation to x 2 , to get a new fractional order system as follows:

[0034]

[0035] (3), according to the fractional order Chen chaotic system and the new fractional order chaotic system two subsystems can form a fractional order switching chaotic system

[0036]

[0037] where β can be at x 1 and x 2 switch between.

[0038] (4) Build an analog circuit according to the fractional order switching chaotic system

[0039] The fractional switching chaotic circuit of the present invention is composed of t...

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Abstract

The invention relates to a fractional-order switching chaotic system synchronization circuit. The fractional-order switching chaotic system synchronous circuit is composed of three channel circuits. The first resistor in the first channel is connected to the inverting input terminal of the first operational amplifier and the output terminal of the third operational amplifier, and the second resistor is connected to the first operational amplifier. The inverting input terminal of the first operational amplifier and the output terminal of the fifth operational amplifier, the third resistor is connected to the inverting input terminal and the output terminal of the first operational amplifier, and the fourth resistor is connected to the output terminal of the first operational amplifier and the inverting terminal of the fifth operational amplifier input. The invention constructs a fractional-order switching chaotic system, which has more complex dynamic characteristics than the integer-order switching chaotic system, and has higher application value in secure communication. A synchronous controller circuit is invented for this fractional order switching chaotic system, which lays the foundation for the application of this switching system to secure communication.

Description

technical field [0001] The invention relates to a fractional-order switching chaotic system synchronization circuit. Background technique [0002] The whole of the switching system is greater than the "sum" of the modes, so the switching system itself has complexity. Since the switched chaotic system has more complex dynamic characteristics and better pseudo-randomness than the single chaotic system, it can effectively enhance the security performance of chaotic secure communication, so it has attracted much attention. [0003] Circuits for switching chaotic systems of integer order and fractional order using analog circuits have been reported. For example, Li Jianqing, Mei Zengxia, etc. invented the method and analog circuit for automatic switching of four systems of fractional order chaotic systems based on the Chen type system. The reported fractional-order switched chaotic systems only realize switching between systems, and do not carry out synchronous control on switch...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): H04L9/00
Inventor 黄丽莲张娟时帅帅
Owner HARBIN ENG UNIV
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