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Three-dimensional chaotic system with adjustable amplitudes

A chaotic system and amplitude modulation technology, which is applied in the transmission system, digital transmission system, electrical components, etc., can solve the problem that the dynamic characteristics of the system do not change much, it is difficult to output a chaotic signal with a linear change in the dynamic range, and the dynamic amplitude cannot be adjusted. Chaotic system and other problems, to achieve the effect of reducing the capacitance value

Inactive Publication Date: 2013-07-03
王少夫
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Problems solved by technology

These chaotic systems generally have dynamic characteristics that change when the system parameters are adjusted. Even when the parameters are adjusted locally, the dynamic characteristics of the system do not change much. It is generally difficult to ensure that the dynamic range of the output chaotic signal shows a linear change.
[0004] The disadvantage of the chaotic system in the current technology is that it is impossible to realize a dynamic amplitude adjustable chaotic system

Method used

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  • Three-dimensional chaotic system with adjustable amplitudes
  • Three-dimensional chaotic system with adjustable amplitudes
  • Three-dimensional chaotic system with adjustable amplitudes

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Embodiment Construction

[0031] A mathematical model of a chaotic system whose amplitude is linearly adjustable in this embodiment can be described as:

[0032] x · = y - ax

[0033] y · = z - bx - - - ( 2 )

[0034] z · = - min ( x , 0 ) - c

[0035] where a, b and c are all real numbers.

[0036] make It can be solved that equation (1) has an equilibrium point: P 0 =(-c,-ac,-bc), at equilibrium point S*=(x*, y*, z*) formula (1) is carried out linearization process, its Jacobian matrix is ​​obtained as:

[0037] J = - ...

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Abstract

The invention relates to a three-dimensional chaotic system with adjustable amplitudes. The three-dimensional chaotic system with adjustable amplitudes comprises a reverse proportional circuit, a first integral circuit, a second integral circuit and a third integral circuit, wherein the output ends of a first operational amplifier, a second operational amplifier and a third operational amplifier are used for sequentially outputting signals which are used as the three state variables x(x1), y(x2) and z(x3) of the chaotic system, and the amplitudes of x, y and z are adjusted by adjusting the output voltage of a direct-current power supply; and because the three-dimensional chaotic system has the advantages of being adjustable in amplitudes on the premise of no change on the dynamic characteristics of the output signals, adjustable in frequency spectrum in different frequency bands, and the like, the three-dimensional chaotic system has a wide application prospect and an important application value in the fields of radar, secret communication, electronic countermeasure and the like.

Description

technical field [0001] The invention relates to a third-order chaotic system with adjustable amplitude. Background technique [0002] Ordinary signal sources can generate different periodic signals and have been applied in the field of information engineering, but it is not conducive to the requirements of special fields such as information encryption. Chaotic signals have the characteristics of inherent randomness, initial value sensitivity, broadband, ergodicity, and boundedness, and can generate broadband signals similar to white noise. Therefore, chaotic signals have broad application prospects in secure communication and other fields. The chaotic signal generated by the chaotic system is an important part of the modulation and demodulation of various information systems, and it has important theoretical significance and application value for realizing the adjustable chaotic signal with the circuit. [0003] Since Lorenz proposed the first chaotic system in 1963, many s...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): H04L9/00
Inventor 王少夫
Owner 王少夫
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