Equivalent circuit model of chaotic oscillator based on memcapacitor and memory sensor

A circuit model and memristor technology, which is applied in the direction of secure communication through chaotic signals, electrical components, digital transmission systems, etc., can solve the problems of difficult realization of parameters, increase of circuit volume, etc., and achieve the effect of easy realization and clear and simple structure

Active Publication Date: 2018-11-16
HANGZHOU DIANZI UNIV
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Problems solved by technology

However, current research mainly focuses on chaotic circuits containing only one memcapacitor or one memsensor, and there are only two reports on chaotic oscillator circuits containing both memcapacitor and memsensor. The chaotic circuit composed of inductors and inductors, because the application of inductors increases the size of the actual circuit, and the configuration of parameters is mo...

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  • Equivalent circuit model of chaotic oscillator based on memcapacitor and memory sensor
  • Equivalent circuit model of chaotic oscillator based on memcapacitor and memory sensor
  • Equivalent circuit model of chaotic oscillator based on memcapacitor and memory sensor

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Embodiment Construction

[0016] The preferred embodiments of the present invention will be described in detail below with reference to the accompanying drawings.

[0017] The theoretical starting point of the present invention is a circuit diagram of a chaotic oscillator based on memristor and memristor, such as figure 1 As shown, according to Kirchhoff's law and the internal relationship of variables, the following expression can be obtained:

[0018]

[0019] Where v 2 =(α+βσ 2 )q is the voltage of the memristor, q is the charge on both ends of the memristor, and σ is the integral variable of the charge on both ends of the memristor; Is the memristor current, Is the magnetic flux of the memory sensor, ρ is the integral variable of the magnetic flux of the memory sensor; v 1 Is the voltage across the capacitor, C 1 Is the capacitance value of the capacitor, G is the conductance, R is the resistance, α, β, α', β'are constants; let a=α' / C 1 , B=β' / C 1 , C=1 / C 1 R, d=Gα, e=Gβ, f=α', g=β', h=α, i=β, x=v 1 , Y...

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Abstract

The present invention discloses an equivalent circuit model of chaotic oscillator based on a memcapacitor and a memory sensor. The model comprises an integrated operational amplifier chip U1, an integrated operational amplifier chip U2, a multiplying unit U3, a multiplying unit U4 and a multiplying unit U5; the integrated operational amplifier chip U1 mainly achieves reverse proportion operation and integral operation; the integrated operational amplifier chip U2 mainly achieves summation operation and integral operation; the multiplying unit U3, the multiplying unit U4 and the multiplying unit U5 achieve multiplying operation of two signals; and the U1 and the U2 employ LF347, and the U4 and the U5 employ AD633. The model comprises two integrated operational amplifier chips and three multiplying units so as to allow the structure to be clear and simple and easy to implement.

Description

Technical field [0001] The invention belongs to the technical field of circuit design, and relates to a chaotic oscillator of a novel memristor and a memristor, in particular to a circuit model of a chaotic oscillator with physical feasibility and rich dynamic characteristics. Background technique [0002] At the end of the 19th century, French scientist Poincaré first discovered chaos when studying the three-body movement. In 1963, the American meteorologist Lorenz (Lorenz) showed people the charm of chaos through the "butterfly effect". In 1976, May R, an American mathematical ecologist, proposed the famous insect mouth model, which promoted the development of chaos. In 1971, Professor Cai Shaotang first proposed the concept of memristor based on circuit completeness. In 1983, Cai Shaotang proposed Chua’s circuit, which is a model of chaotic systems, which greatly promoted the development of chaotic circuits and obtained a lot of research results. In 2009, Bharathwaj M and P...

Claims

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Application Information

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IPC IPC(8): H04L9/00
CPCH04L9/001
Inventor 王晓媛俞军张雪闵小涛
Owner HANGZHOU DIANZI UNIV
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