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Chaotic circuit based on Wien bridge oscillator and piecewise linear memristor

A piecewise linear, chaotic circuit technology, applied in secure communication through chaotic signals, electrical components, digital transmission systems, etc., can solve the problems of limited operating frequency, no memristor, inconvenient integration, etc., to achieve good robustness. Effect

Inactive Publication Date: 2016-10-12
JIANGNAN UNIV
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  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

[0003] Since memristors are not commercialized, chaotic circuits can only be established on the basis of theoretical analysis, and its chaotic behavior cannot be verified from the circuit
Although the analog equivalent implementation circuits of smooth memristors have been proposed in the literature, the operating frequency is very limited; and these memristor chaotic circuits contain inductance, which makes the circuit less robust and not easy to integrate

Method used

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  • Chaotic circuit based on Wien bridge oscillator and piecewise linear memristor
  • Chaotic circuit based on Wien bridge oscillator and piecewise linear memristor
  • Chaotic circuit based on Wien bridge oscillator and piecewise linear memristor

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Embodiment Construction

[0015] The specific embodiments of the present invention will be further described below in conjunction with the accompanying drawings.

[0016] The type of memristor is a piecewise linear active magnetron memristor, and the relationship curve between its flux linkage φ and charge q is as follows image 3 As shown, its mathematical expression is

[0017] q(φ)=bφ+0.5(a-b)(|φ+1|-|φ-1|)

[0018] According to the assigned relationship of the memristor, its memristor value can be obtained as

[0019] W ( φ ) = d q ( φ ) d φ = a , | φ | ≤ ...

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Abstract

The invention discloses a chaotic circuit based on a Wien bridge oscillator and a piecewise linear memristor. The circuit is composed of the Wien bridge oscillator and the piecewise linear memristor M. The Wien bridge oscillator is composed of an operational amplifier, peripheral elements and a phase-shift network. The memristor M is an analog equivalent circuit of the piecewise linear memristor and is composed of a follower, a phase inverter, an inverting integrator, a window comparer, a voltage-controlled switch and a negative impedance converter which are connected in series. The Wien bridge oscillator forms an oscillating circuit. The phase-shift network is composed of a linear resistor and a linear capacitor. The memristor M acts in a non-linear device which enables the voltage or current in the circuit to generate sudden change; under the non-linear effect of the memristor, the circuit enters chaos and hyperchaos states from period doubling bifurcation. The circuit is simple in circuit and good in effect.

Description

technical field [0001] The invention relates to the field of analog electronic circuits, in particular to a chaotic circuit based on a Wien bridge oscillator and a segmented linear memristor. Background technique [0002] In May 2008, the Hewlett-Packard Labs research team used nanotechnology to realize a resistor with "memory" characteristics, thus confirming the concept of memristor and related theories. As the fourth basic passive device alongside resistors, inductors, and capacitors, the memristor establishes the relationship between flux linkage and charge, and its resistance value is related to the voltage amplitude, polarity, and working time at both ends. Because memristors have a "memory" function, their potential application value has attracted widespread attention from scholars at home and abroad. As a nonlinear device, memristor can be used to realize high-frequency chaotic circuits, so it has important application value in chaotic secure communication, image en...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): H04L9/00
CPCH04L9/001
Inventor 潘丰智月明
Owner JIANGNAN UNIV
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