CN107124260A - A kind of Second-order Non-autonomous Chaotic Circuit based on active diode bridge memristor - Google Patents
A kind of Second-order Non-autonomous Chaotic Circuit based on active diode bridge memristor Download PDFInfo
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- CN107124260A CN107124260A CN201710231709.6A CN201710231709A CN107124260A CN 107124260 A CN107124260 A CN 107124260A CN 201710231709 A CN201710231709 A CN 201710231709A CN 107124260 A CN107124260 A CN 107124260A
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- memristor
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L9/00—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols
- H04L9/001—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols using chaotic signals
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/30—Circuit design
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/30—Circuit design
- G06F30/32—Circuit design at the digital level
- G06F30/33—Design verification, e.g. functional simulation or model checking
- G06F30/3323—Design verification, e.g. functional simulation or model checking using formal methods, e.g. equivalence checking or property checking
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Abstract
The invention discloses a kind of Second-order Non-autonomous Chaotic Circuit based on active diode bridge memristor.The circuit is by ac voltage signal source AC, operational amplifier U, resistance R, electric capacity C1With the active broad sense memristor G of single orderMConstitute.Realize a simple, reliable and simple chaos signal generator of circuit topological structure.The chaotic signal that the signal generator is produced can be applied to chaotic secret communication, chaotic signal synchronization and man made noise etc. as a kind of random signal.
Description
Technical field
The present invention relates to a kind of chaos signal generator, a kind of simple reliable Non Autonomous chaos signal source is realized.
Background technology
Memristor is the new ideas that scientist Cai Shaotang of Chinese origin is proposed in last century the seventies, be except inductor,
The 4th kind of basic component outside capacitor and resistor.The distinguishing feature of memristor is with Memorability and non-linear, energy
The behavior of similar neuron is enough simulated, is the simulation optimal physical device of human brain.Hewlett-Packard laboratory is made first within 2008
Into nanoscale TiO2Device, makes a piece of shock of International Power electronic technology, and coming years are on memristor and its related application
Report increases in blowout.Memristor chaos circuit is that one of those applies branch, the chaos circuit ratio introduced after memristor
Conventional non-linear circuit has more complicated dynamic behavior.Find the chaos that topological structure is simpler and number of elements is less
Circuit, being formed has distinguishing feature and advantage, reliable and practical electronic circuit, can enrich chaos signal generator in engineering
Application.
The content of the invention
The technical problems to be solved by the invention realize a kind of active second order memristor chaos signal generator.
In order to solve the above technical problems, mixed the invention provides a kind of Non Autonomous based on active diode bridge memristor
Ignorant circuit, its structure is as follows：
The main circuit as shown in Fig. 2 including：Standard sine voltage signal source AC, operational amplifier U, resistance R, electric capacity
C1, and the active broad sense memristor G of single orderM；Signal source AC positive pole termination operational amplifier U in-phase input end, AC negative pole termination
" "；U inverting input is connected with output end, and now U constitutes a voltage follower (also referred to as buffer)；Resistance R's
Left end connects U output end, R right-hand member connection electric capacity C1Positive terminal, C1Negative pole termination " "；Broad sense memristor GMPositive pole
End connection electric capacity C1Positive terminal, GMNegative pole termination " "；
FIRST ORDER GENERALIZED DISTRIBUTED PARAMETER memristor GMRealize circuit as shown in figure 1, including：Resistance Ra、Rb、RM、R0, diode D1、D2、D3、
D4, inductance L, and operational amplifier UM.Remember broad sense memristor GMInput is " 1 ", and output end is " 2 ".The concatenation operation amplification of " 1 " end
Device UMIn-phase input end, UMIn-phase input end and output end between bridging resistance Ra, UMInverting input and output end it
Span connecting resistance Rb, resistance RMUpper end connection UMInverting input, RMLower end connection " 2 " end.Diode D1Positive pole with
D4Negative pole be connected and be denoted as a ends, a termination broad sense memristor inputs " 1 "；Diode D1Negative pole and D2Negative pole be connected be denoted as b
End；Diode D2Positive pole and D3Negative pole be connected and be denoted as c ends, c termination broad sense memristor output ends " 2 "；Diode D3Positive pole with
D4Positive pole be connected be denoted as d ends；D ends series inductance L and resistance R0It is followed by b ends.
Beneficial effects of the present invention are as follows：
A kind of Second-order Non-autonomous Chaotic Circuit based on active diode bridge memristor of the present invention, its structure and its simple
And, the non-linear phenomena of complexity can be produced, a kind of new chaotic signal source can be used as.
Brief description of the drawings
In order that present disclosure is more likely to be clearly understood, below according to specific embodiment and with reference to accompanying drawing,
The present invention is further detailed explanation, wherein
Fig. 1 memristors symbol and the active broad sense memristor equivalent circuit of single order；
A kind of Second-order Non-autonomous Chaotic Circuits based on active diode bridge memristor of Fig. 2；
Fig. 3 state variable x-y plane numerical simulation phase rail figures；
Fig. 4 state variables v1(t)-iL(t) plane experiment phase rail figure；
Embodiment
Mathematical modeling：The present invention uses the active broad sense memristor of single order, and its is equivalent to realize that circuit is as shown in Figure 1.Make single order
Active broad sense memristor GMInput terminal voltage and electric current be respectively v and i, the electric current for flowing through memristor internal dynamic element inductance L is
iL, the mathematical modeling of the memristor can be described as
Wherein, ρ=1/ (2nVT), IS, n and VTThe reverse saturation current of diode, emission ratio and cut-off electricity are represented respectively
Pressure, IS=5.84nA, n=1.94, VT=25mV.
The FIRST ORDER GENERALIZED DISTRIBUTED PARAMETER memristor described using formula (1) builds Second-order Non-autonomous Chaotic Circuit, as shown in Figure 2.Its dynamics
Model can pass through electric capacity C1Voltage v1With the electric current i for flowing through memristor internal dynamic element inductance LLIt is expressed as
Wherein, vs=Asin (2 π ft) is sine voltage signal, A=2V, f=6kHz.
Following change of scale is made to formula (2)
The Non-di-mensional equation of formula (2) can be written as
Numerical simulation：A kind of Second-order Non-autonomous Chaotic Circuit based on active diode bridge memristor according to Fig. 2, is utilized
MATLAB simulation Software Platforms, can be to carrying out Numerical Simulation Analysis as the system described by formula (4).Select Runge-Kutta
(ODE) algorithm is solved to system equation.Select typical circuit parameter C1=20nF, R=2k Ω, Ra=Rb=2k Ω, RM=1k
Ω、R0=50 Ω, L=100mH, A=2V, f=6kHz.Substitution formula (3) makees the parameter after change of scale, can obtain this chaos electricity
The MATLAB numerical simulation phase rail figures of line state variable x (t)-y (t) planes, as shown in Figure 3.
Experimental verification：Model AD711KN operational amplifier is selected, and ± 15V direct-current working volts, diode are provided
Model 1N4148, electric capacity is ROHS, and resistance is accurate adjustable resistance, and inductance is manual coiling.Experimental circuit is made, is made
Standard sine voltage signal is provided with model Tektronix AFG 3102C derived digital signal, passes through model
Circuit state variable is in v under Tektronix TDS 3034C digital oscilloscope checking canonical parameter1(t)-iL(t) phase of plane
Rail figure is as shown in Figure 4.Contrast is it can be found that Fig. 3 and Fig. 4 are basically identical, and the result further demonstrate a kind of based on active two
The Second-order Non-autonomous Chaotic Circuit of pole pipe bridge memristor can produce the correctness of Analysis on Chaos.
A kind of Second-order Non-autonomous Chaotic Circuit based on active diode bridge memristor that the present invention is realized, its is simple in construction,
The simple and feasible new chaotic signal generating circuit of a class can be used as.Believe that this invention will have for the development of chaos system
Larger progradation.
Above-described embodiment is only intended to clearly illustrate example of the present invention, and is not the embodiment party to the present invention
The restriction of formula.For those of ordinary skill in the field, other differences can also be made on the basis of the above description
The change or variation of form.There is no necessity and possibility to exhaust all the enbodiments.
Claims (4)
1. a kind of Second-order Non-autonomous Chaotic Circuit based on active diode bridge memristor, it is characterised in that：Including sine signal source
AC, operational amplifier U, resistance R, electric capacity C1, the active broad sense memristor G of single orderM。
2. a kind of Second-order Non-autonomous Chaotic Circuit based on active diode bridge memristor according to claim 1, its feature
It is：Signal source AC positive pole termination operational amplifier U in-phase input end, AC negative pole termination " "；U inverting input
It is connected with output end, now U constitutes a voltage follower (also referred to as buffer)；Resistance R left end connects U output end, R
Right-hand member connection electric capacity C1Positive terminal, C1Negative pole termination " "；Broad sense memristor GMPositive terminal connection electric capacity C1Positive pole
End, GMNegative pole termination " ".
3. a kind of Second-order Non-autonomous Chaotic Circuit based on active diode bridge memristor according to claim 1, its feature
It is：FIRST ORDER GENERALIZED DISTRIBUTED PARAMETER memristor GMRealize that circuit includes：Resistance Ra、Rb、RM、R0, diode D1、D2、D3、D4, inductance L, and computing
Amplifier UM.Remember broad sense memristor GMInput is " 1 ", and output end is " 2 "." 1 " end concatenation operation amplifier UMHomophase input
End, UMIn-phase input end and output end between bridging resistance Ra, UMInverting input and output end between bridging resistance Rb,
Resistance RMUpper end connection UMInverting input, RMLower end connection " 2 " end.Diode D1Positive pole and D4Negative pole be connected note
Make a ends, a termination broad sense memristor inputs " 1 "；Diode D1Negative pole and D2Negative pole be connected be denoted as b ends；Diode D2Just
Pole and D3Negative pole be connected and be denoted as c ends, c termination broad sense memristor output ends " 2 "；Diode D3Positive pole and D4Positive pole be connected note
Make d ends；D ends series inductance L and resistance R0It is followed by b ends.
4. a kind of Second-order Non-autonomous Chaotic Circuit based on active diode bridge memristor according to claim 1 or 2 or 3,
It is characterized in that：Contain 2 dynamic element electric capacity C1With the active broad sense memristor G of single orderM, the circuit differential equation can use 2 states to become
Measure v1、iLRepresent, the normalization dimensionless differential equation can be represented with 2 state variables x, y.
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Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN108322300A (en) * | 2018-04-27 | 2018-07-24 | 常州大学 | Chaos cluster is sent out and three rank memristor chaos circuits of almost periodic behavior |
| CN110110460A (en) * | 2019-05-15 | 2019-08-09 | 西安工程大学 | A kind of diode bridge Generalized fractional memristor based on fractional order inductance |
Citations (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN105827390A (en) * | 2016-03-18 | 2016-08-03 | 常州大学 | Simple second-order non-autonomous memristor chaotic signal generator |
| CN106209345A (en) * | 2016-07-25 | 2016-12-07 | 常州大学 | A kind of simple Non Autonomous memristor chaos signal generator |
| CN106357381A (en) * | 2016-10-20 | 2017-01-25 | 常州大学 | Three-order memory resistor chaotic signal generator realized based on two-order active band-pass filter |
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2017
- 2017-04-11 CN CN201710231709.6A patent/CN107124260A/en active Pending
Patent Citations (3)
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| CN105827390A (en) * | 2016-03-18 | 2016-08-03 | 常州大学 | Simple second-order non-autonomous memristor chaotic signal generator |
| CN106209345A (en) * | 2016-07-25 | 2016-12-07 | 常州大学 | A kind of simple Non Autonomous memristor chaos signal generator |
| CN106357381A (en) * | 2016-10-20 | 2017-01-25 | 常州大学 | Three-order memory resistor chaotic signal generator realized based on two-order active band-pass filter |
Non-Patent Citations (1)
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| 武花干，包伯成，徐权: ""基于二极管桥与串联RL滤波器的一阶广义忆阻模拟器"", 《电子学报》 * |
Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN108322300A (en) * | 2018-04-27 | 2018-07-24 | 常州大学 | Chaos cluster is sent out and three rank memristor chaos circuits of almost periodic behavior |
| CN110110460A (en) * | 2019-05-15 | 2019-08-09 | 西安工程大学 | A kind of diode bridge Generalized fractional memristor based on fractional order inductance |
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Application publication date: 20170901 |