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Switching construction method of two chaotic systems based on fraction-order Lorenz system, and artificial circuit

A chaotic system and construction method technology, applied in digital transmission systems, transmission systems, secure communication through chaotic signals, etc., can solve the problems of easy deciphering of signals, reduced complexity of chaotic systems, fixed switching methods, etc., so as to facilitate on-site operations. and debugging, easy to understand, stable performance

Active Publication Date: 2019-02-15
ANSHUN UNIV
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Problems solved by technology

The existing chaotic switching systems all involve the switching of the square term of a single variable, such as the variable x 2 The item is switched to y by an analog switch 2 or xy item, and it is realized by a digital switch, and the switching method is relatively fixed, which reduces the complexity of the chaotic system used for encryption, and the signal is easy to be deciphered

Method used

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  • Switching construction method of two chaotic systems based on fraction-order Lorenz system, and artificial circuit
  • Switching construction method of two chaotic systems based on fraction-order Lorenz system, and artificial circuit
  • Switching construction method of two chaotic systems based on fraction-order Lorenz system, and artificial circuit

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Embodiment Construction

[0031] The present invention will be further described in detail below in conjunction with the accompanying drawings.

[0032] The mathematical model system involved in the present invention is the generalized fractional order Lorenz system as:

[0033]

[0034] Let the parameters β=7, γ=25, η=3 in (i), change α into two variables, a 1 , and a 2 , increasing the variable And feed w back to the first equation of system (i), get the system:

[0035]

[0036] Construct switch switching function a 1 =f(θ 1 ), where θ 1 is the double-terminal of SPDT switch S1, including a-terminal and b-terminal, f(θ 1 ) is expressed as:

[0037]

[0038] Construct switch switching function a 2 =f(θ 2 ), where θ 2 is the double-terminal of the single-pole double-throw switch S2, including a-terminal and b-terminal, f(θ 2 ) is expressed as:

[0039]

[0040] Construct switch switching function a 3 =f(θ 3 ), where θ 3 is switch S4, when closed, θ 3 = 1, when disconnected...

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Abstract

The invention discloses a circuit capable of realizing chaotic switching of two systems based on fraction-order Lorenz system. Based on a fraction-order three-dimension generalized Lorenz system, a fraction-order four-dimension super-chaotic system is constructed by adding one-dimension variable, two different chaotic signal generation circuits are selected through two artificial switches, one system is at 0.9 order, and the other system is the hybrid order of the 0.8 order and the 0.9 order. Different-order fraction-order system more meets the natural rule, and a signal generator circuit is simple to realize, convenient for integration, and provides a new selection for the application of the chaos in the information safety.

Description

technical field [0001] The invention relates to a switching between two chaotic systems that can be realized through a switch, and belongs to the technical field of chaotic switching circuit design. Background technique [0002] The complexity of the two chaotic systems is the sum of the complexity of the individual chaotic systems. The existing chaotic switching systems all involve the switching of the square term of a single variable, such as the variable x 2 The item is switched to y by an analog switch 2 or xy term, and it is realized by a digital switch, and the switching mode is relatively fixed, so that the complexity of the chaotic system used for encryption is reduced, and the signal is easy to be deciphered. The invention realizes the fractional-order chaotic switching circuit realized simply by analog circuit through two switches, and can realize the switching of the chaotic system and the fractional-order. Contents of the invention [0003] Aiming at the def...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): H04L9/00
CPCH04L9/001H04L2209/12
Inventor 刘立才杜传红蒋宪邦祝凤侠杨丽吴育辉
Owner ANSHUN UNIV
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