CN101447140A - Chaotic circuit of cascade reversed-phase integrator - Google Patents
Chaotic circuit of cascade reversed-phase integrator Download PDFInfo
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- CN101447140A CN101447140A CNA2008102338515A CN200810233851A CN101447140A CN 101447140 A CN101447140 A CN 101447140A CN A2008102338515 A CNA2008102338515 A CN A2008102338515A CN 200810233851 A CN200810233851 A CN 200810233851A CN 101447140 A CN101447140 A CN 101447140A
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Abstract
A chaotic circuit of cascade reversed-phase integrator comprises a nonlinear circuit unit and a cascade reversed-phase integrator circuit unit including at least three grades reversed-phase integrators. The chaotic circuit further comprises a linear reversed-phase adder circuit which has only one grade and a plurality of input terminals. The output terminal of the linear reversed-phase adder circuit is connected with one input terminal of the first grade reversed-phase integrator; each input terminal of each grade reversed-phase integrator of the cascade reversed-phase integrator circuit unit are respectively connected with the one input terminal of the first grade reversed-phase integrator or an input terminal of one input terminal of the linear reversed-phase adder circuit; the output terminal of the third grade reversed-phase integrator is connected with the input terminal of the nonlinear circuit unit; and the output terminal of the nonlinear circuit unit is connected with one input terminal of the first grade reversed-phase integrator or an input terminal of one input terminal of the linear reversed-phase adder circuit. The chaotic circuit can realize all functions of a chaotic circuit with the key component of a cascade same-phase integrator combined circuit, and the circuit is simple.
Description
Technical field the invention belongs to non-linear circuit, often claims chaos circuit, relates to a kind of chaotic circuit of cascade reversed-phase integrator.
The paper " linear feedback between Genesio-Tesi and the Coullet chaos system is synchronous " of the Liu Yangzheng that background technology " Acta Physica Sinica " the 8th phase in 2005 delivers, the paper of the Liu Yangzheng that " Physical Experiment " the 5th phase in 2005 delivered " the linear Feedback Control experiment of Genesio chaos system ", the Genesio chaos system of quoting in 2 pieces of papers is the non-linear three rank chaotic circuit of cascade reversed-phase integrator of quadratic power, form by 7 operational amplifiers and 1 analog multiplier, be called the 7+1 circuit, the Coullet chaos system of quoting is the non-linear three rank chaotic circuit of cascade reversed-phase integrator of cube, form by 6 operational amplifiers and 2 analog multipliers, be called the 6+2 circuit, exist circuit not have the problem of optimizing, the chaotic circuit of cascade reversed-phase integrator that is higher than three rank also has paper publishing, still exists circuit not have the problem of optimizing.Chaotic circuit of cascade reversed-phase integrator, performance is good, have the advantages that the chaos equation is simple, circuit is realized easily, the lines flow smoothly for output pattern, be easy to Project Realization, but all existing inverting integrator chaos circuit complex structures, there is not optimization process, debugging is difficult, and production cost is also high, and this is the defective of prior art.
It is the chaos circuit all functions of core formation that summary of the invention the purpose of this invention is to provide a kind of can the realization with cascade noninverting integrator combinational circuit unit, the better simply chaotic circuit of cascade reversed-phase integrator of circuit structure.
The technical solution adopted for the present invention to solve the technical problems is:
A kind of chaotic circuit of cascade reversed-phase integrator comprises the non-linear circuit unit, and the cascade reversed-phase integrator combinational circuit unit by at least three grades of inverting integrators constitute also comprises the linear anti-phase adder circuit that has only one-level; The anti-phase adder circuit of described linearity, be to be main to constitute by an operational amplifier, each end of operational amplifier negative input end and each resistance is connected, described each other end of each resistance is an input end of linear anti-phase adder circuit, the output terminal of linear anti-phase adder circuit and first order inverting integrator 1 f resistance R
fInput end connects; The 10th resistance input end of the output terminal of first order inverting integrator and first order inverting integrator 1 or linear anti-phase adder circuit f
1An input end in the resistance input end connects; Second level inverting integrator 2 output terminals and first order inverting integrator the 20th resistance input end or linear anti-phase adder circuit unit f
2An input end in the resistance input end connects; The output terminal one tunnel and the first order inverting integrator n of third level inverting integrator 3
0An input end in resistance input end or the linear anti-phase adder circuit unit fn resistance input end connects, another road is connected with non-linear circuit unit input end, the f of non-linear circuit unit output terminal and first order inverting integrator NL resistance input end or linear anti-phase adder circuit
NLAn input end in the resistance input end connects.
The present invention can provide chaotic circuit of cascade reversed-phase integrator largest optimization, that can realize cascade positive integrator circuit all functions, the various curves that the various waveforms, phasor, chaos of all variablees of cascade positive integrator chaos equation develop can be on oscillograph, shown, the various experiments of cascade positive integrator circuit chaos equation can be carried out.Be applicable to university's chaos education of science, experimental teaching and demonstration, scientific popularization experimental demonstration etc., will promote the progress and development of non-linear circuit experimental teaching.
Description of drawings
Fig. 1 is a chaotic circuit of cascade reversed-phase integrator block scheme of the present invention;
Fig. 2 is the chaotic circuit of cascade reversed-phase integrator schematic diagram of the embodiment of the invention 1;
Fig. 3 is the chaotic circuit of cascade reversed-phase integrator schematic diagram of the embodiment of the invention 2;
Fig. 4 is the chaotic circuit of cascade reversed-phase integrator schematic diagram of the embodiment of the invention 3;
Fig. 5 is the chaotic circuit of cascade reversed-phase integrator schematic diagram of the embodiment of the invention 4;
Fig. 6 is the chaotic circuit of cascade reversed-phase integrator schematic diagram of the embodiment of the invention 5;
Fig. 7 is the chaotic circuit of cascade reversed-phase integrator schematic diagram of the embodiment of the invention 6;
Fig. 8 is the X of the chaotic circuit of cascade reversed-phase integrator output of the embodiment of the invention 1
1X
2Phasor
Fig. 9 is the X of the chaotic circuit of cascade reversed-phase integrator output of the embodiment of the invention 1
1X
3Phasor;
Figure 10 is the X of the chaotic circuit of cascade reversed-phase integrator output of the embodiment of the invention 1
2X
3Phasor;
Figure 11 is the X of the chaotic circuit of cascade reversed-phase integrator output of the embodiment of the invention 2
1X
2Phasor;
Figure 12 is the X of the chaotic circuit of cascade reversed-phase integrator output of the embodiment of the invention 2
1X
3Phasor;
Figure 13 is the X of the chaotic circuit of cascade reversed-phase integrator output of the embodiment of the invention 2
2X
3Phasor;
Figure 14 the present invention is the X of the chaotic circuit of cascade reversed-phase integrator output of embodiment 3
1X
2Phasor;
Figure 15 the present invention is the X of the chaotic circuit of cascade reversed-phase integrator output of embodiment 3
1X
3Phasor;
Figure 16 the present invention is the X of the chaotic circuit of cascade reversed-phase integrator output of embodiment 3
2X
3Phasor;
Figure 17 the present invention is the X of the chaotic circuit of cascade reversed-phase integrator output of embodiment 4
1X
2Phasor;
Figure 18 the present invention is the X of the chaotic circuit of cascade reversed-phase integrator output of embodiment 4
1X
3Phasor;
Figure 19 the present invention is the X of the chaotic circuit of cascade reversed-phase integrator output of embodiment 4
2X
3Phasor.
Following examples are used to illustrate the present invention, but are not used for limiting the scope of the invention.
Embodiment
Embodiment 1 is with reference to Fig. 1, and chaotic circuit of cascade reversed-phase integrator of the present invention is by cascade reversed-phase integrator combinational circuit unit, non-linear circuit unit, and linear anti-phase adder circuit constitutes.Described cascade reversed-phase integrator combinational circuit unit is to be made of at least three grades of inverting integrators, each rank only needs the one-level inverting integrator, described first order inverting integrator 1 output terminal is connected with second level inverting integrator 2 input ends, second level inverting integrator output terminal K
2Be connected first operational amplifier A of first order inverting integrator 1 with third level inverting integrator 3 input ends
1Negative input end and each resistance R
10, R
20, R
30, R
NL, R
fOne end connects, described each resistance R
10, R
20, R
30, R
NL, R
fThe other end is respectively the input end one by one of first order inverting integrator 1; The operational amplifier A of the anti-phase adder circuit 4 of described linearity
4Negative input end and each resistance R
F1, R
F2, R
Fn, R
NLEach end connects; Described each resistance R
F1, R
F2, R
Fn, Rf
NLEach other end is the input end one by one of linear anti-phase adder circuit 4; The output terminal K of first order inverting integrator 1
1The 10th resistance R with first order inverting integrator
10The f of input end or linear anti-phase adder circuit
1Resistance R
F1An input end in the input end connects; Second level inverting integrator 2 output terminal K
2With first order inverting integrator the 20th resistance R
20The f2 resistance R of input end or linear anti-phase adder circuit
FnAn input end in the input end connects; The output terminal K3 one tunnel and first order inverting integrator the 30th resistance R of third level inverting integrator
30The f3 resistance R of input end or linear anti-phase adder circuit
F3An input end in the input end connects, and another road is connected with non-linear circuit unit 5 input ends, non-linear circuit unit 5 output terminal K
NLWith first order inverting integrator NL resistance R
NLInput end or linear anti-phase adder circuit unit f
NLResistance R
FNLAn input end in the input end connects; The output terminal and the first order inverting integrator f resistance R of linear anti-phase adder circuit 4
fInput end connects.Fig. 2 is the chaotic circuit of cascade reversed-phase integrator schematic diagram of embodiment 1, the i.e. non-linear cascade inverting integrator of three rank quadratic powers chaos circuit schematic diagram, described cascade reversed-phase integrator combinational circuit unit is to be made of three grades of inverting integrators, wherein first operational amplifier A of first order inverting integrator
1In-phase input end ground connection, first operational amplifier A
1Be connected first capacitor C in parallel between inverting input and the output terminal
1With the 4th resistance R
4, first operational amplifier A
1Inverting input respectively with first resistance R
1, second resistance R
2, the 3rd resistance R
3One end connects and composes anti-phase suming integrator; Described first resistance R
1, second resistance R
2, the 3rd resistance R
3Each other end is the input end of first order inverting integrator; First operational amplifier A
1Output terminal and the 5th resistance R
5Connect the 5th resistance R
5Second operational amplifier A of the other end and second level inverting integrator
2Inverting input connect second operational amplifier A
2Be connected second capacitor C between the in-phase input end ground connection, inverting input and output terminal
2Second operational amplifier A
2Output terminal and the 6th resistance R
6Connect the 6th resistance R
6The other end and the 3rd operational amplifier A
3Inverting input connect the 3rd operational amplifier A of third level inverting integrator
3Be connected the 3rd capacitor C between the in-phase input end ground connection, inverting input and output terminal
3Described non-linear circuit unit is the quadratic power non-linear circuit, and the quadratic power non-linear circuit is by analog multiplier MUL
1Constitute; The four-operational amplifier A of the anti-phase adder circuit of described linearity unit
4Inverting input and the 8th resistance (R
8) end connection, the 8th resistance R
8The other end be the input end of linear anti-phase adder circuit unit, four-operational amplifier A
4Be connected the 7th resistance R between the in-phase input end ground connection, inverting input and output terminal
7The 3rd operational amplifier A of third level inverting integrator
3Output terminal is connected with three places: with analog multiplier MUL
1Two input ends connect, with the 3rd resistance R of first order inverting integrator
3It (is the output terminal K of third level inverting integrator that the other end connects
3Be connected with input end of first order inverting integrator); Described analog multiplier MUL
1Output terminal and second resistance R of first order inverting integrator
2It (is non-linear circuit unit output terminal K that the other end connects
NLBe connected with input end of first order inverting integrator); Second operational amplifier A of second level inverting integrator
2Output terminal and the 8th resistance R of linear anti-phase adder circuit unit
8It (is second level inverting integrator output terminal K that the other end connects
2Be connected with the input end in the anti-phase adder circuit of linearity unit); The four-operational amplifier A of linear anti-phase adder circuit unit
4First resistance R of output terminal and first order inverting integrator
1The other end connects.Wherein, second resistance R
2Can replace by variable resistor.
R in Fig. 2
3=1k Ω, R
4=20k Ω, other resistance are 10k Ω, C
1=C
2=C
3=0.01 μ F, operational amplifier uses TL084, and when analog multiplier used AD633, the phasor of circuit output was seen Fig. 8, Fig. 9, Figure 10, and embodiment 1 circuit has been realized validity of the present invention fully.
If the second resistance (R
2) replace by variable resistor, when continuously changing second resistance R
2The time, can realize that circuit output chaos develops.
The chaotic circuit of cascade reversed-phase integrator of embodiment 2, i.e. the non-linear cascade inverting integrator of three rank cube chaos circuit, with reference to Fig. 3, embodiment 2 is basic identical with embodiment 1 circuit structure, is the operational amplifier A of described first order inverting integrator
1The inverting input and first resistance R
1, second resistance R
2Each end connect; The non-linear circuit unit is the cube non-linear circuit, by the first analog multiplier MUL
1With the second analog multiplier MUL
2Constitute; The four-operational amplifier A of linear anti-phase adder circuit unit
4Inverting input and the 7th resistance R
7, the 8th resistance R
8Each end connects, four-operational amplifier A
4Be connected the 6th resistance R between inverting input and the output terminal
6The 3rd operational amplifier A
3Output terminal be connected everywhere: with the first analog multiplier MUL
1Two input ends connect, with the second analog multiplier MUL
2Input end connect, with the 8th resistance R
8It (is the output terminal K of third level inverting integrator that the other end connects
3With the anti-phase adder circuit of linearity unit f
3Resistance R
F3Input end connects); The first analog multiplier MUL
1The output terminal and the second analog multiplier MUL
2Another input end connect the second analog multiplier MUL
2The output terminal and second resistance R
2It (is non-linear circuit unit 5 output terminal K that the other end connects
NLWith first order inverting integrator NL resistance R
NLInput end connects); Second operational amplifier A
2Output terminal and the 7th resistance R
7Connecting (is second level inverting integrator 2 output terminal K
2With the anti-phase adder circuit of linearity unit f
2Resistance R
F2Input end connects), four-operational amplifier (A
4) the output terminal and first resistance R
1The other end connects.Wherein, second resistance R
2Can replace by variable resistor.
Second resistance R in Fig. 3
2=3.6k Ω, the 3rd resistance R
3=15.4k Ω, other resistance are 10k Ω, capacitor C
1=C
2=C
3=0.01 μ F, operational amplifier uses TL084, and when analog multiplier used AD633, the phasor of circuit output was seen Figure 11, Figure 12, Figure 13, and embodiment 2 circuit have been realized validity of the present invention fully.
If second resistance R
2Replace by variable resistor, when continuously changing second resistance R
2The time, can realize that circuit output chaos develops.
The chaotic circuit of cascade reversed-phase integrator of embodiment 3, the i.e. non-linear cascade inverting integrator of three rank amplitude limits chaos circuit, with reference to Fig. 4, embodiment 3 is basic identical with embodiment 1 circuit structure, is the four-operational amplifier A of the anti-phase adder circuit of described linearity unit
4Inverting input and the 8th resistance R
8, the 9th resistance R
9Each end connects, the 9th resistance R
9Second operational amplifier A of the other end and second level inverting integrator
2It (is second level inverting integrator output terminal K that output terminal connects
2Be connected with the input end in the anti-phase adder circuit of linearity unit); Described non-linear circuit unit is anti-phase limiting amplifier circuit, the 5th operational amplifier A of anti-phase limiting amplifier circuit
5Be connected the tenth resistance R between the in-phase input end ground connection, inverting input and output terminal
10, inverting input and the 11 resistance R
11Connect the 5th operational amplifier A
5The output terminal and first resistance R
1It (is non-linear circuit unit output terminal K that the other end connects
NLBe connected with input end of first order inverting integrator); The 3rd operational amplifier A of third level inverting integrator
3Output terminal is connected with three places: with the 11 resistance R of symbol amplifying circuit
11The other end connects, with the 8th resistance R of the anti-phase adder circuit of linearity unit
8The other end connects, with the 3rd resistance R of first order inverting integrator
3It (is the output terminal K of third level inverting integrator that the other end connects
3Be connected with input end of first order inverting integrator); The four-operational amplifier A of linear anti-phase adder circuit unit
4Second resistance R of output terminal and first order inverting integrator
2Connect.Wherein, first resistance R
1Can replace by variable resistor.
First resistance R in Fig. 4
1=24k Ω, second resistance R
3=3.3k Ω, the 4th resistance R
4=15k Ω, the tenth resistance R
10=80k Ω, other electricity group all is 10k Ω, capacitor C
1=C
2=C
3=0.01 μ F, operational amplifier uses TL084, and the phasor of circuit output is seen Figure 14, Figure 15, Figure 16, and embodiment 3 circuit have been realized validity of the present invention fully.
If first resistance R
1Replace by variable resistor, when continuously changing first resistance R
1The time, can realize that circuit output chaos develops.
The chaotic circuit of cascade reversed-phase integrator of embodiment 4, promptly three rank symbol non-linear stages join the inverting integrator chaos circuits, with reference to Fig. 5, embodiment 4 is basic identical with embodiment 1 circuit structure, be described non-linear circuit unit is-symbol amplifying circuit, the 5th operational amplifier A of symbol amplifying circuit
5In-phase input end ground connection, the 5th operational amplifier A
5First resistance R of output terminal and first order inverting integrator
1It (is non-linear circuit unit output terminal K that the other end connects
NLBe connected with input end of first order inverting integrator); The four-operational amplifier A of linear anti-phase totalizer
4Second resistance R of output terminal and first order inverting integrator
2The other end connects; The operational amplifier A of third level inverting integrator
3Output terminal is connected with two places: with the 5th operational amplifier A of non-linear circuit unit
5Inverting input connect, with the 3rd resistance R of first order inverting integrator
3Connect (input end of output terminal K3 and first order inverting integrator that is third level inverting integrator is connected); Wherein, first resistance R
1Can replace by variable resistor.
First resistance R in Fig. 5
1=24k Ω, the 3rd resistance R
3=3.3k Ω, the 4th resistance R
4=15k Ω, other electricity group all is 10k Ω, capacitor C
1=C
2=C
3=0.01 μ F, operational amplifier uses TL084, and the phasor of circuit output is seen Figure 16, Figure 17, Figure 18, and embodiment 4 circuit have been realized validity of the present invention fully.
If first resistance R
1Replace by variable resistor, when continuously changing first resistance R
1The time, can realize that circuit output chaos develops.
The chaotic circuit of cascade reversed-phase integrator of embodiment 5, it is the non-linear anti-phase cascade integrator chaos circuit of quadravalence quadratic power, with reference to Fig. 6, embodiment 5 is basic identical with embodiment 1 circuit structure, be the anti-phase adder circuit of described linearity be by the 5th operational amplifier (A
5) and the 9th resistance R
9, the tenth resistance R
10Constitute; The 5th operational amplifier (A
5) inverting input and the tenth resistance (R
10) end connects, and is connected the 9th resistance (R between inverting input and the output terminal
9); Described cascade reversed-phase integrator combinational circuit unit is to be made of the level Four inverting integrator, first operational amplifier A of described first order inverting integrator
1The inverting input and first resistance R
1, second resistance R
2, the 3rd resistance R
3, the 4th resistance R
4Each end connects, first resistance R of described first order inverting integrator
1The other end is connected with the positive polarity stabilized voltage supply, second resistance R of described first order inverting integrator
2, the 3rd resistance R
3, the 4th resistance R
4Each other end successively respectively with the 5th operational amplifier A of the anti-phase adder circuit of linearity unit
5Output terminal, the output terminal of analog multiplier MUL1, the 3rd operational amplifier A of third level inverting integrator
3Output terminal connects; The four-operational amplifier A of fourth stage inverting integrator
4Output terminal and analog multiplier MUL
1Two input ends connect; Wherein, the 3rd resistance R
3Can replace by variable resistor.
First resistance R in Fig. 6
1=2.5k Ω, second resistance R
2=2.656k Ω, the 3rd resistance R
3=10k Ω, the 4th resistance R
4=902.9 Ω, the 5th resistance R
5=3.448k Ω, other electricity group all is 10k Ω, capacitor C
1=C
2=C
3=C
4=0.01 μ F, operational amplifier uses TL084, when analog multiplier uses AD633CN, circuit output chaos.
If the 3rd resistance R
3Replace by variable resistor, when continuously changing the 3rd resistance R
3The time, can realize that circuit output chaos develops.
The chaotic circuit of cascade reversed-phase integrator of embodiment 6, the i.e. non-linear cascade inverting integrator of five rank quadratic powers chaos circuit, with reference to Fig. 7, embodiment 6 is basic identical with the circuit structure of embodiment 1, be described cascade reversed-phase integrator combinational circuit unit be to constitute by the Pyatyi inverting integrator, first operational amplifier A of described first order inverting integrator
1First resistance R
1The other end is connected with a positive polarity stabilized voltage supply; The anti-phase adder circuit of described linearity is by the 6th operational amplifier (A
6) and the 9th resistance R
9, the tenth resistance R
10, the 11 resistance R
11, the 12 resistance R
12Constitute the 6th operational amplifier (A
6) inverting input and output terminal between be connected the 9th resistance (R
9), the 6th operational amplifier A of linear anti-phase totalizer
6Inverting input respectively with the tenth resistance R
10, the 11 resistance R
11, the 12 resistance R
12Each end connect described the tenth resistance R
10, the 11 resistance R
11, the 12 resistance R
12Each other end successively respectively with output terminal, the output terminal of fourth stage inverting integrator, the analog multiplier MUL of second level inverting integrator
1Output terminal connect; The 5th operational amplifier A of level V inverting integrator
5Output terminal and analog multiplier MUL
1Two input ends connect; The 6th operational amplifier A of linear anti-phase totalizer
6Output terminal and second resistance R of first order inverting integrator
2The other end connects, the 3rd resistance R of the output terminal of third level inverting integrator and first order inverting integrator
3The other end connects.Wherein, the 12 resistance R
12Can replace by variable resistor.
First resistance R in Fig. 7
1=2.564k Ω, the 3rd resistance R
3=2.538k Ω, the tenth resistance R
10=1.4148k Ω, the 11 resistance R
11=1.09k Ω, the 12 resistance R
12=2.564k Ω, other electricity group all is 10k Ω, capacitor C
1=C
2=C
3=C
4=C
5=0.01 μ F, operational amplifier uses TL084, when analog multiplier uses AD633CN, circuit output chaos.
If the 12 resistance R
12Replace by variable resistor, when continuously changing the 12 resistance R
12The time, can realize that circuit output chaos develops.
Claims (7)
1. chaotic circuit of cascade reversed-phase integrator, comprise non-linear circuit unit (5), the cascade reversed-phase integrator combinational circuit unit (1,2,3) that constitutes by at least three grades of inverting integrators, it is characterized in that: also comprise the linear anti-phase adder circuit (4) that has only one-level; The anti-phase adder circuit of described linearity (4) is to be main to constitute the negative input end of its operational amplifier and each resistance (R by an operational amplifier
F1, R
F2, R
F3, R
FNL) each end connection; Described each resistance (R
F1, R
F2, R
F3, R
FNL) each other end is the input end one by one of linear anti-phase adder circuit unit (4), the output terminal of linear anti-phase adder circuit (4) and first order inverting integrator f resistance (R
f) the input end connection; First order inverting integrator (1) output terminal (K
1) with the 10th resistance (R of first order inverting integrator
10) f of input end or linear anti-phase adder circuit
1Resistance (R
F1) a input end in the input end connects; Second level inverting integrator (2) output terminal (K
2) and first order inverting integrator the 20th resistance (R
20) f of input end or linear anti-phase adder circuit
2Resistance (R
F2) a input end in the input end connects; Output terminal (the K of third level inverting integrator
3) the one tunnel with first order inverting integrator the 30th resistance (R
30) f of input end or linear anti-phase adder circuit
3Resistance (R
F3) a input end in the input end connects, another road is connected with non-linear circuit unit (5) input end; Non-linear circuit unit (5) output terminal (K
NL) and first order inverting integrator NL resistance (R
NL) f of input end or linear anti-phase adder circuit
NLResistance (R
FNL) a input end in the input end connects.
2. a kind of chaotic circuit of cascade reversed-phase integrator according to claim 1 is characterized in that: described cascade reversed-phase integrator combinational circuit unit is made of three grades of inverting integrators, and described non-linear circuit unit is by an analog multiplier (MUL
1) constitute; Four-operational amplifier (the A of the anti-phase adder circuit of described linearity
4) inverting input and the 8th resistance (R
8) end connection, the 8th resistance (R
8) the other end be the input end of linear anti-phase adder circuit, four-operational amplifier (A
4) in-phase input end ground connection, be connected the 7th resistance (R between inverting input and the output terminal
7); The 3rd operational amplifier (A of cascade reversed-phase integrator combinational circuit unit
3) output terminal is connected with three places: with analog multiplier (MUL
1) two input ends connect, with the 3rd resistance (R of first order inverting integrator
3) other end connection; Described analog multiplier (MUL
1) output terminal and the second resistance (R of first order inverting integrator
2) other end connection; Second operational amplifier (the A of second level inverting integrator
2) output terminal and the 8th resistance (R of linear anti-phase adder circuit
8) other end connection, the four-operational amplifier (A of linear anti-phase adder circuit
4) the first resistance (R of output terminal and first order inverting integrator
1) other end connection; The described second resistance (R
2) be variable resistor.
3. according to a kind of chaotic circuit of cascade reversed-phase integrator of claim 1 or 2, it is characterized in that: the non-linear circuit unit is by the first analog multiplier (MUL
1) and the second analog multiplier (MUL
2) constitute; Four-operational amplifier (the A of linear anti-phase adder circuit
4) inverting input and the 7th resistance (R
7), the 8th resistance (R
8) each end connection, four-operational amplifier (A
4) inverting input and output terminal between be connected the 6th resistance (R
6); The 3rd operational amplifier (A of cascade reversed-phase integrator combinational circuit unit
3) output terminal be connected everywhere: with the first analog multiplier (MUL
1) two input ends connect, with the second analog multiplier (MUL
2) input end connect, with the 8th resistance (R
8) other end connection; First analog multiplier (the MUL
1) the output terminal and the second analog multiplier (MUL
2) another input end connect the second analog multiplier (MUL
2) the output terminal and the second resistance (R
2) other end connection; Second operational amplifier (the A
2) output terminal and the 7th resistance (R
7) connect four-operational amplifier (A
4) the output terminal and the first resistance (R
1) other end connection; The described second resistance (R
2) be variable resistor.
4. a kind of chaotic circuit of cascade reversed-phase integrator according to claim 1 and 2 is characterized in that: the four-operational amplifier (A of the anti-phase adder circuit of described linearity
4) inverting input and the 8th resistance (R
8), the 9th resistance (R
9) each end connection, the 9th resistance (R
9) the second operational amplifier (A of the other end and second level inverting integrator
2) the output terminal connection; The non-linear circuit unit is anti-phase limiting amplifier circuit, the 5th operational amplifier (A of anti-phase limiting amplifier circuit
5) in-phase input end ground connection, be connected the tenth resistance (R in parallel between inverting input and the output terminal
10), inverting input and the 11 resistance (R
11) connect the 5th operational amplifier (A
5) the output terminal and the first resistance (R
1) other end connection; The 3rd operational amplifier (A of third level inverting integrator
3) output terminal is connected with three places: with anti-phase limiting amplifier circuit the 11 resistance (R
11) other end connection, with the 8th resistance (R of the anti-phase adder circuit of linearity unit
8) other end connection, with the 3rd resistance (R of first order inverting integrator
3) other end connection; Four-operational amplifier (the A of linear anti-phase adder circuit unit
4) the second resistance (R of output terminal and first order inverting integrator
2) connect; The described first resistance (R
1) be variable resistor.
5. a kind of chaotic circuit of cascade reversed-phase integrator according to claim 1 and 2 is characterized in that: described non-linear circuit unit is-symbol amplifying circuit, the 5th operational amplifier (A of symbol amplifying circuit
5) in-phase input end ground connection, the 5th operational amplifier (A
5) the first resistance (R of output terminal and first order inverting integrator
1) other end connection; Four-operational amplifier (the A of linear anti-phase adder circuit
4) the second resistance (R of output terminal and first order inverting integrator
2) other end connection; Operational amplifier (the A of third level inverting integrator
3) output terminal is connected with two places: with the 5th operational amplifier (A of non-linear circuit unit
5) inverting input connect, with the 3rd resistance (R of first order inverting integrator
3) connect; Wherein, the first resistance (R
1) be variable resistor.
6. a kind of chaotic circuit of cascade reversed-phase integrator according to claim 1 is characterized in that: described cascade reversed-phase integrator combinational circuit unit is made of the level Four inverting integrator, and the anti-phase adder circuit of described linearity is by the 5th operational amplifier (A
5) and the 9th resistance R
9, the tenth resistance R
10Constitute; The 5th operational amplifier (A
5) inverting input and the tenth resistance (R
10) end connection, four-operational amplifier (A
4) inverting input and output terminal between be connected the 9th resistance (R
9); Second resistance (the R of described first order inverting integrator
2), the 3rd resistance (R
3), the 4th resistance (R
4) each other end successively with the 5th operational amplifier (A of the anti-phase adder circuit of linearity
5) output terminal, analog multiplier (MUL
1) output terminal, the 3rd operational amplifier (A of third level inverting integrator
3) the output terminal connection; Four-operational amplifier (the A of fourth stage inverting integrator
4) output terminal and analog multiplier (MUL
1) two input ends connect; Described the 3rd resistance (R
3) be variable resistor.
7. a kind of chaotic circuit of cascade reversed-phase integrator according to claim 1 is characterized in that: described cascade reversed-phase integrator combinational circuit unit is made of the Pyatyi inverting integrator, the 6th operational amplifier (A of the anti-phase adder circuit of described linearity
6) inverting input respectively be connected the tenth resistance (R
10), the 11 resistance (R
11), the 12 resistance (R
12) each end connect the 6th operational amplifier (A
6) inverting input and output terminal between be connected the 9th resistance (R
9), described the tenth resistance (R
10), the 11 resistance (R
11), the 12 resistance (R
12) each other end successively respectively with output terminal, the output terminal of fourth stage inverting integrator, the analog multiplier (MUL of second level inverting integrator
1) output terminal connect; The 5th operational amplifier (A of level V inverting integrator
5) output terminal and analog multiplier (MUL
1) two input ends connect; The 6th operational amplifier (A of linear anti-phase adder circuit
6) output terminal and the second resistance (R of first order inverting integrator
2) other end connection, the 3rd resistance (R of the output terminal of third level inverting integrator and first order inverting integrator
3) other end connection; Wherein, the 12 resistance (R
12) be variable resistor.
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| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN2008102338515A CN101447140B (en) | 2008-12-31 | 2008-12-31 | Chaotic circuit of cascade reversed-phase integrator |
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| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN2008102338515A CN101447140B (en) | 2008-12-31 | 2008-12-31 | Chaotic circuit of cascade reversed-phase integrator |
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| Publication Number | Publication Date |
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| CN101447140A true CN101447140A (en) | 2009-06-03 |
| CN101447140B CN101447140B (en) | 2010-06-30 |
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Cited By (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN102323464A (en) * | 2011-05-24 | 2012-01-18 | 黑龙江大学 | Circuit for displaying any Poincare section plane in three-dimensional space by using oscillograph |
| CN102903282A (en) * | 2012-10-26 | 2013-01-30 | 玉林师范学院 | Integer-order and fractional-order multifunctional chaotic experiment instrument |
| CN114974358A (en) * | 2022-05-19 | 2022-08-30 | 兰州交通大学 | Novel three-order charge control memristor equivalent circuit and memristor testing method |
Families Citing this family (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| WO2015175427A1 (en) | 2014-05-11 | 2015-11-19 | The Regents Of The University Of California | Self-organized critical cmos circuits and methods for computation and information processing |
-
2008
- 2008-12-31 CN CN2008102338515A patent/CN101447140B/en not_active Expired - Fee Related
Cited By (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN102323464A (en) * | 2011-05-24 | 2012-01-18 | 黑龙江大学 | Circuit for displaying any Poincare section plane in three-dimensional space by using oscillograph |
| CN102323464B (en) * | 2011-05-24 | 2013-07-24 | 黑龙江大学 | Circuit for displaying any Poincare section plane in three-dimensional space by using oscillograph |
| CN102903282A (en) * | 2012-10-26 | 2013-01-30 | 玉林师范学院 | Integer-order and fractional-order multifunctional chaotic experiment instrument |
| CN102903282B (en) * | 2012-10-26 | 2014-08-27 | 玉林师范学院 | Integer-order and fractional-order multifunctional chaotic experiment instrument |
| CN114974358A (en) * | 2022-05-19 | 2022-08-30 | 兰州交通大学 | Novel three-order charge control memristor equivalent circuit and memristor testing method |
Also Published As
| Publication number | Publication date |
|---|---|
| CN101447140B (en) | 2010-06-30 |
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