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Hyperchaotic circuit

A hyperchaotic and circuit technology, applied in the field of nonlinear circuits, can solve problems such as increased circuit complexity, filtering system processing, narrow bandwidth, etc.

Active Publication Date: 2015-04-15
HEFEI UNIV OF TECH
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

[0002] Three-dimensional autonomous chaotic systems only have a positive Lapunov exponent, and their bandwidth is relatively narrow, so they are easily processed by filtering systems in communication engineering, making them useless in application
The application number is 200910103368.X, and the publication number is CN101510862A. The invention patent "hyperchaotic signal generation method and hyperchaotic signal generation system" generates a hyperchaotic signal by introducing a sinusoidal signal into a nonlinear circuit, which increases the complexity of the circuit. sex

Method used

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Embodiment 1

[0022] refer to figure 1 , this embodiment consists of two analog multipliers, ten operational amplifiers, and resistors and capacitors, wherein the second operational amplifier U 2 inverting input and the fourth resistor R 4 connection, the second operational amplifier U 2 The non-inverting input terminal is grounded, and the second operational amplifier U 2 The first capacitor C is connected between the inverting input terminal and the output terminal 1 , the second operational amplifier U 2 The output terminal is the X output terminal; the fifth operational amplifier U 5 The inverting input terminal and the tenth resistor R 10 connection, the fifth operational amplifier U 5 The non-inverting input terminal is grounded, and the fifth operational amplifier U 5 A second capacitor C is connected between the inverting input terminal and the output terminal 2 , the fifth operational amplifier U 5 The output terminal is the Y output terminal; the seventh operational ampli...

Embodiment 2

[0026] The difference between this embodiment and Embodiment 1 is that the seventeenth resistor R 17 Use a potentiometer instead to change the seventeenth resistor R 17 The resistance value can observe various curves of the hyperchaotic evolution.

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Abstract

The invention provides a hyperchaotic circuit which is composed of two analog multipliers, ten operational amplifiers, a resistor and a capacitor. According to the hyperchaotic circuit, a linear controller is introduced on the basis of a three-dimensional chaotic system, so that a new four-dimensional chaotic system is realized and is applicable to chaos theory of universities, laboratory teaching and demonstration, science popularization demonstration and the like, and can be used for displaying various waveforms, phase diagrams and evolution curves of a hyperchaotic system.

Description

technical field [0001] The invention belongs to nonlinear circuits, and in particular relates to a four-dimensional chaotic circuit. In order to distinguish it from a three-dimensional chaotic circuit, the four-dimensional chaotic circuit is also called an ultra-chaotic circuit. Background technique [0002] Three-dimensional autonomous chaotic systems only have a positive Lapunov exponent, and their bandwidth is relatively narrow, so they are easily processed by filtering systems in communication engineering, making them useless in application. Hyperchaos has two or more Lyapunov exponents. Compared with three-dimensional chaos, it has more complex dynamic behavior and has better application value in the fields of information processing and communication engineering. [0003] Application number is 200710072479.X, publication number is CN101145901A invention patent "hyperchaotic pseudo-random sequence generator" is a hyperchaotic pseudo-random sequence generation method, and...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): H04L9/00
Inventor 何怡刚吴先明罗旗舞于文新郑剑尹柏强
Owner HEFEI UNIV OF TECH