CN208460277U - The three non-linear cai's circuits of rank hyperbolic sine - Google Patents
The three non-linear cai's circuits of rank hyperbolic sine Download PDFInfo
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- CN208460277U CN208460277U CN201820337728.7U CN201820337728U CN208460277U CN 208460277 U CN208460277 U CN 208460277U CN 201820337728 U CN201820337728 U CN 201820337728U CN 208460277 U CN208460277 U CN 208460277U
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Abstract
A kind of three non-linear Chua's chaotic circuits of rank hyperbolic sine, its the first, second and third operational amplifier A1, A2, A3 constitute linear inverting integrator, fourth, fifth operational amplifier A4, A5 constitutes linear inverting amplifier, and first, fourth, three operational amplifier A1, A4, A3 output ends are respectively chaotic signal output end X, Y, Z；Inverting integrator A1 is connect with amplifier A5, inverting integrator A2；Inverting integrator A2 is connect with the first operational amplifier A1, four-operational amplifier A4 respectively；Inverting integrator A3 is connect with second operational amplifier A2；The utility model is chaos circuit, and the various waveforms, phasor and chaos that can export the non-linear Chua's chaotic circuit of hyperbolic sine develop curve, may be constructed chaotic secret communication system.
Description
Technical field
The invention belongs to nonlinear circuits, often claim chaos circuit, and in particular to the three non-linear Cai Shi of rank hyperbolic sine of one kind
Circuit.
Background technique
Cai's circuit is a kind of chaos circuit being widely studied in recent years, there is classical cai's circuit, deformation Cai Shi electricity
Road, to coupling cai's circuit, function congruence cai's circuit, topoligical equivalence cai's circuit etc., do not have also in the cai's circuit of these types
There are circuit that is based on diode and working in hyperbolic sine nonlinear state, " Acta Physica Sinica " the 20th phase paper " Cai in 2014
The function congruence circuit of family name's circuit and topoligical equivalence circuit and its design method " in propose two kinds of double diode nonlinear Statics it is non-
Linear circuit, but diode operation in switch state rather than hyperbolic sine nonlinear state, and circuit without completely it is excellent
Change, is the deficiency of existing nerval network chaotic circuit engineering.
Summary of the invention
Present invention aim to address the deficiencies of the above problem, provide one kind by five operational amplifiers and two diodes
The three non-linear cai's circuits of rank hyperbolic sine of composition, can export 3 waveform diagrams and 3 phasors, can export stable three
The double vortex chaotic signals of rank.
The technical solution adopted by the present invention to solve the technical problems is: the three non-linear cai's circuits of rank hyperbolic sine, by
Five operational amplifiers and two diode compositions are constituted, in which: the first operational amplifier (A1) inverting input terminal and third electricity
(R3), the connection of the 4th resistance (R4) are hindered, non-inverting input terminal ground connection connects first capacitor (C1) between inverting input terminal and output end
With two diodes in parallel, two diodes are connected in inverse parallel, and output end and first resistor (R1), the 5th resistance (R5) are even
It connects, output end is X output end；Second operational amplifier (A2) inverting input terminal and the 5th resistance (R5), the 6th resistance (R6)
Connection, non-inverting input terminal ground connection connect the 7th resistance (R7) and the second capacitor in parallel between inverting input terminal and output end
(C2), output end is connect with the 4th resistance (R4), the 8th resistance (R8)；Third operational amplifier (A3) inverting input terminal and the tenth
Resistance (R10) connection, non-inverting input terminal ground connection, between inverting input terminal and output end connect third capacitor (C3), output end with
The connection of 6th resistance (R6), output end is Z output end；Four-operational amplifier (A4) inverting input terminal and the tenth resistance
(R10) it connects, non-inverting input terminal ground connection connects the 9th resistance (R9), output end and the tenth between inverting input terminal and output end
Resistance (R10) connection, output end is Y output end；5th operational amplifier (A5) inverting input terminal and first resistor (R1) are even
It connects, non-inverting input terminal ground connection connects second resistance (R2) between inverting input terminal and output end, output end and 3rd resistor (R3)
Connection.
The 3rd resistor (R3) is variable resistance, and the chaos that can observe the three non-linear cai's circuits of rank hyperbolic sine is drilled
The various curves become.
The beneficial effects of the present invention are: it is mixed to export tri- chaotic waves signals of X, Y and Z and X-Y, X-Z and Y-Z tri-
Ignorant phasor；Above-mentioned various chaotic signals can be shown on oscillograph；By certain specific electrical resistances such as 3rd resistor (R3) by
After variable resistance replaces, thus it is possible to vary the chaotic characteristic of various chaotic signals described above can show three ranks on oscillograph
The various curves of the non-linear cai's circuit of hyperbolic sine can also carry out the other each of the three non-linear cai's circuits of rank hyperbolic sine
Kind experiment.The present invention is suitable for university's chaos education of science, experimental teaching and demonstration, scientific popularization experimental demonstration etc..
Detailed description of the invention
Fig. 1 is the non-linear cai's circuit schematic diagram of three rank hyperbolic sines.
Fig. 2 is three rank hyperbolic sine Nonlinear Characteristic Curves.
Fig. 3 is the non-linear cai's circuit X waveform diagram of three rank hyperbolic sines.
Fig. 4 is the non-linear cai's circuit Y waveform diagram of three rank hyperbolic sines.
Fig. 5 is the non-linear cai's circuit Z waveform diagram of three rank hyperbolic sines.
Fig. 6 is the non-linear cai's circuit X-Y output phasor of three rank hyperbolic sines.
Fig. 7 is the non-linear cai's circuit X-Z output phasor of three rank hyperbolic sines.
Specific embodiment
Referring to attached drawing 1, the embodiment of the present invention is made of five operational amplifiers and two diodes, in which: the first fortune
Calculate amplifier A1 inverting input terminal connect with 3rd resistor R3, the 4th resistance R4, non-inverting input terminal be grounded, inverting input terminal with it is defeated
First capacitor C1 and two diodes in parallel are connected between outlet, two diodes are connected in inverse parallel, output end and first
Resistance R1, the 5th resistance R5 connection, output end is X output end；Second operational amplifier A2 inverting input terminal and the 5th resistance
R5, the 6th resistance R6 connection, non-inverting input terminal ground connection, connected between inverting input terminal and output end the 7th resistance R7 in parallel and
Second capacitor C2, output end are connect with the 4th resistance R4, the 8th resistance R8；Third operational amplifier A3 inverting input terminal and the tenth
Resistance R10 connection, non-inverting input terminal ground connection, connects third capacitor C3, output end and the 6th between inverting input terminal and output end
Resistance R6 connection, output end are Z output end；Four-operational amplifier A4 inverting input terminal is connect with the tenth resistance R10, same to phase
Input end grounding connects the 9th resistance R9 between inverting input terminal and output end, output end is connect with the tenth resistance R10, exports
End is Y output end；5th operational amplifier A5 inverting input terminal is connect with first resistor R1, non-inverting input terminal ground connection, reverse phase
Second resistance R2 is connected between input terminal and output end, output end is connect with 3rd resistor R3.
X output end, Y output end and Z output end in Fig. 1 are connected to oscilloscope signal input terminal or computer in relation to connecing
Mouthful, it can show the waveform of X, Y and Z, be observed using the phasor mode of oscillograph, X output end waveform signal is as shown in Fig. 2, Y is defeated
Outlet waveform signal as shown in figure 3, Z output end waveform signal as shown in figure 4, X-Y output end phasor signal as shown in figure 5, X-Z
Output end phasor signal is as shown in fig. 6, Y-Z output end phasor signal is as shown in Figure 7.By Fig. 2 to Fig. 7, it was demonstrated that of the invention
Validity.If 3rd resistor R3 is replaced by variable resistance, continuously change resistance value, the various curves of chaos differentiation can be observed,
By two identical circuits by appropriate connection, synchronization and the chaotic secret communication of three rank hyperbolic sine cai's circuits can be carried out
Etc. various experiments.
The component parameter of the embodiment of the present invention is as follows: A1, A2, A3, A4, A5 model TL082 or TL084, diode
Model 2CK11, ,It is (variable
Resistance),,,,。
Claims (2)
1. the three non-linear cai's circuits of rank hyperbolic sine, it is characterized in that: three-order chaos circuit, by five operational amplifiers and two
Diode is constituted, and exports three waveform diagrams and three two-dimentional phasors, in which: the first operational amplifier (A1) inverting input terminal and the
Three resistance (R3), the connection of the 4th resistance (R4), non-inverting input terminal ground connection connect first capacitor between inverting input terminal and output end
(C1) with two diodes in parallel, two diodes are connected in inverse parallel, output end and first resistor (R1), the 5th resistance
(R5) it connects, output end is X output end；Second operational amplifier (A2) inverting input terminal and the 5th resistance (R5), the 6th electricity
(R6) connection is hindered, non-inverting input terminal ground connection connects the 7th resistance (R7) and second in parallel between inverting input terminal and output end
Capacitor (C2), output end are connect with the 4th resistance (R4), the 8th resistance (R8)；Third operational amplifier (A3) inverting input terminal with
Tenth resistance (R10) connection, non-inverting input terminal ground connection, connects third capacitor (C3) between inverting input terminal and output end, output
End is connect with the 6th resistance (R6), and output end is Z output end；Four-operational amplifier (A4) inverting input terminal and the tenth resistance
(R10) it connects, non-inverting input terminal ground connection connects the 9th resistance (R9), output end and the tenth between inverting input terminal and output end
Resistance (R10) connection, output end is Y output end；5th operational amplifier (A5) inverting input terminal and first resistor (R1) are even
It connects, non-inverting input terminal ground connection connects second resistance (R2) between inverting input terminal and output end, output end and 3rd resistor (R3)
Connection.
2. the non-linear cai's circuit of three ranks hyperbolic sine according to claim 1, it is characterized in that: the 3rd resistor (R3)
For variable resistance.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201820337728.7U CN208460277U (en) | 2018-03-13 | 2018-03-13 | The three non-linear cai's circuits of rank hyperbolic sine |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201820337728.7U CN208460277U (en) | 2018-03-13 | 2018-03-13 | The three non-linear cai's circuits of rank hyperbolic sine |
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| Publication Number | Publication Date |
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| CN208460277U true CN208460277U (en) | 2019-02-01 |
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|---|---|---|---|
| CN201820337728.7U Expired - Fee Related CN208460277U (en) | 2018-03-13 | 2018-03-13 | The three non-linear cai's circuits of rank hyperbolic sine |
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| Country | Link |
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2018
- 2018-03-13 CN CN201820337728.7U patent/CN208460277U/en not_active Expired - Fee Related
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| CF01 | Termination of patent right due to non-payment of annual fee |
Granted publication date: 20190201 Termination date: 20200313 |
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| CF01 | Termination of patent right due to non-payment of annual fee |