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Four-dimensional fractional-order chaos model and circuit

A fractional order, analog circuit technology, applied in the direction of secure communication through chaotic signals, electrical components, digital transmission systems, etc., can solve the problems of less research and insufficient depth of fractional order chaotic systems, and overcome the problems of easy deciphering and high complexity , rich effects of dynamic behavior

Inactive Publication Date: 2019-02-01
XIANGTAN UNIV
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

[0004] To sum up, the problems existing in the existing technology are: the existing research on chaotic systems mainly focuses on integer order chaotic systems, and the research on fractional order chaotic systems is less and not deep enough

Method used

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  • Four-dimensional fractional-order chaos model and circuit
  • Four-dimensional fractional-order chaos model and circuit
  • Four-dimensional fractional-order chaos model and circuit

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Embodiment Construction

[0030] In order to make the purpose and technical solution of the present invention clearer, the application principles of the present invention will be described in detail below in conjunction with the accompanying drawings and embodiments.

[0031] The four-dimensional fractional chaos model provided by the embodiment of the present invention is:

[0032]

[0033] Among them, x, y, z, w are state variables, a=0.63, b=0.1 are system parameters, and q=0.9 is fractional order. Under this set of parameters, the system behaves as hyperchaotic behavior.

[0034] Such as figure 1 As shown, the circuit of the four-dimensional fractional chaos model provided by the embodiment of the present invention includes four channel circuits, and each channel circuit contains a 0.9-order fractional circuit module, which is composed of 62 original components, including 12 TL082 operational amplifiers, 2 multipliers, 12 capacitors and 36 resistors. Specific as figure 1 shown

[0035] In th...

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Abstract

The invention discloses a four-dimensional fractional-order chaos model and a circuit. The circuit of the four-dimensional fractional-order chaos model comprises four channel circuits; an output signal -x of a first channel is connected with a signal input end of the first channel and the signal input end of a second channel; a previous output signal of the first channel x is connected with the signal input end of a third channel; an output signal -y of a second channel is connected with the signal input end of a fourth channel, the previous output signal y of the second channel is connected with the signal input end of the first channel, and a multiplier A2; the previous output signal z of the third channel is connected with a multiplexer A1; and the previous output signal w of the fourthchannel is connected with the signal input end of the second channel. The fractional-order chaos model provided by the invention has higher complexity in comparison with the integer-order chaos model, and can produce more complex dynamics behavior; the fractional-order chaos model can be used for fractional-order chaos system circuit design and experiment, and can overcome the disadvantage that the existing chaos system information encryption can be easily decoded due to low complexity, thereby providing evidence for the application of the chaos system.

Description

technical field [0001] The invention belongs to the technical field of chaotic systems, and relates to a chaotic system model in fractional order form, in particular to a 0.9-order fractional-order circuit model with physical realizability and rich dynamic behavior. Background technique [0002] Chaos theory is a scientific revolution that has only emerged in the past 30 years. Together with the theory of relativity and quantum mechanics, it is listed as the greatest discovery and scientific work handed down in the 20th century. The emergence of quantum mechanics questioned the physical causality of the microcosm, and the emergence of chaos theory immediately denied the Laplace-style deterministic causality including the macrocosm. Chaos theory is the opposite of universal predictability, explaining why we cannot completely Relying on computers or other purely rational models to make decisions has three main basic features: inherent randomness, initial value sensitivity, and...

Claims

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Application Information

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IPC IPC(8): H04L9/00
CPCH04L9/001H04L2209/12
Inventor 王梦蛟廖晓涵
Owner XIANGTAN UNIV
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