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Four-dimensional non-dissipative system and device thereof

A non-dissipative, four-dimensional technology, applied in the field of four-dimensional non-dissipative systems and their devices, to achieve the effects of large dynamic range, reduced capacitance value, and wide application value

Inactive Publication Date: 2013-05-01
王少夫
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

At present, there are few reports on the research of non-dissipative dynamical systems.

Method used

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  • Four-dimensional non-dissipative system and device thereof
  • Four-dimensional non-dissipative system and device thereof
  • Four-dimensional non-dissipative system and device thereof

Examples

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Embodiment Construction

[0015] The mathematical model of a four-dimensional non-dissipative system of the present embodiment can be described as:

[0016] x · = y y · = - ax + xz z · = ω ω · = x + b ( x 2 - ...

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Abstract

The invention relates to a four-dimensional non-dissipative system. A nonlinear state feedback controller is introduced to form the new four-dimensional non-dissipative system; and the system has a complex dynamic behavior, and an attractor has a strip-shaped or spherical structure in every direction. The four-dimensional non-dissipative system comprises an inverse proportion circuit, a first integral circuit, a second integral circuit, a third integral circuit and a fourth integral circuit; output ends of a first operational amplifier, a second operational amplifier, a third operational amplifier and a fourth operational amplifier output state variable x(x1), y(x2), z (x3) and w(x4) serving as the non-dissipative system in sequence; and the non-dissipative system has simplicity in circuit implementation and has a wide application prospect and important application value in the field, such as radar, secret communication, electronic countermeasures and the like.

Description

technical field [0001] The invention relates to a four-dimensional non-dissipative system and its device. 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. Since Lorenz discovered the first mathematical model of chaos in 1963, the research on chaos in the nonlinear field has made great progress. In recent years, chaos has been widely used in secure communication. For the encrypted signal of a chaotic system signal with only one positive Lyapunov exponent, its secret signal is relatively e...

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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