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Fractional-order hyperchaotic signal generator

A chaotic signal and generator technology, which is applied in the direction of secure communication through chaotic signals, digital transmission systems, and secure communication devices, can solve the problems of large signal interference, large implementation errors, and many components, and achieve system accuracy and compact circuits. , the effect of fewer components

Inactive Publication Date: 2019-01-18
ANSHUN UNIV
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  • Abstract
  • Description
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Problems solved by technology

[0003] The chaotic signal generator is the basic condition for applying chaos science to the field of engineering technology. The existing fractional-order signal generator is composed of traditional channel-type circuits, which use many components, and the interference between signals is large, and the realization error is large. Using fewer components to realize fractional hyperchaotic signal generator is a practical application trend, which is of great significance to the application of chaotic systems

Method used

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Embodiment Construction

[0023] The present invention will be further described in detail below in conjunction with the accompanying drawings.

[0024] The mathematical model system involved in the present invention is:

[0025]

[0026] In system (i), x, y, z and w are four state variables.

[0027] Convert the four variable signals of the state variables x, y, z and w in the i system into corresponding voltage values, from image 3 It can be seen from the two-dimensional simulation phase diagram that the variable exceeds the linear region of the operational amplifier, and the variable substitution is performed, so that x=10x', y=10y', z=10z', w=10w', there are:

[0028]

[0029] In order to facilitate the realization of the circuit, the time is compressed, so that but Among them, C is the parameter unit, C=10nF. Equation (ii) becomes:

[0030]

[0031] System (iii) is:

[0032]

[0033] Design the circuit realization equation of system (ⅰ) according to (ⅳ):

[0034]

[00...

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Abstract

The invention relates to a signal generation circuit of a fractional-order hyperchaotic system required for chaotic traffic flow control and chaotic secret communication, and increases the implementation types of the fractional-order chaotic system. The Lyapunov indexes of the system are positive, positive, negative and zero, and the system is a typical hyperchaotic system, and has the more complex chaotic dynamics behaviors. The fractional-order system accords with the actual natural law better than an integral-order system. The whole signal generator only consists of six TL082 operational amplifiers, three AD633 analogue multipliers and a few of linear resistors and capacitors. Compared with the circuit implemented in other modes, the circuit is simple in structure, is convenient for integration, is high in precision, is high in reliability, is suitable for the experiment teaching of an analog circuit for the undergraduate students, and provides a new selection for the application ofchaos in the secret communication and the traffic flow control.

Description

technical field [0001] The invention relates to a realization circuit of a four-dimensional fractional hyperchaotic system, which belongs to the technical field of chaotic signal generator circuit design. Background technique [0002] The fractional order chaotic system can more accurately describe the actual chaotic physical model. The hyperchaotic system has more complex dynamic characteristics and better pseudo-randomness, which is difficult to decipher. It can greatly enhance the security of chaotic secure communication and lay the foundation for practical applications. . [0003] The chaotic signal generator is the basic condition for applying chaos science to the field of engineering technology. The existing fractional-order signal generator is composed of traditional channel-type circuits, which use many components, and the interference between signals is large, and the realization error is large. It is a trend of practical application to realize fractional hyperchao...

Claims

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Application Information

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IPC IPC(8): H04L9/00
CPCH04L9/001H04L2209/12
Inventor 刘立才杜传红蒋宪邦杨丽祝凤侠吴育辉
Owner ANSHUN UNIV
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