CN2906792Y - Bifurcation and chaos experiment demonstrator - Google Patents
Bifurcation and chaos experiment demonstrator Download PDFInfo
- Publication number
- CN2906792Y CN2906792Y CN 200620024303 CN200620024303U CN2906792Y CN 2906792 Y CN2906792 Y CN 2906792Y CN 200620024303 CN200620024303 CN 200620024303 CN 200620024303 U CN200620024303 U CN 200620024303U CN 2906792 Y CN2906792 Y CN 2906792Y
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- capacitor
- signal generator
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- chaos
- resistance
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Abstract
The utility model discloses a fork chaos demonstration experiment equipment, composing a DC stable voltage power source, a signal generator, a fork chaos demonstration experiment equipment and an oscillograph. The circuit of fork chaos demonstration experiment equipment is a powered circuit with a signal generator Vs, and the signal generator Vs is series-connected with a sensor L, and the signal generator Vs and the sensor L are series-connected with a capacitor C2, a capacitor C1 is series-connected with the capacitor C2; a split resistance R is connected between the capacitor C2 and the capacitor C1, also connected with two mutually connected operation amplifiers and external elements. The utility model has the advantages that the double operation and a plurality of resistance are used to implement a non linear resistance element of in the circuit of Chua to accept the signal generator so as to turn an original three-dimensional autonomous chaotic circuit into a four-dimensional autonomous chaotic circuit for stability of the demonstration instrument.
Description
Affiliated technical field
The utility model relates to the fork common in the nonlinear dynamic system and the experimental demonstration device of chaos phenomenon.
Background technology
A lot of phenomenons in the actual engineering will make an explanation with fork and chaology, as the oil whirl of turbine rotor and film shocks, robot arm vibrate, many ropes suspension bridge is shimmy, pipe vibration etc.Existing experimental demonstration device as fork and chaos phenomenon is made up of the circuit and the oscillograph of D.C. regulated power supply, generation chaos, and circuit adopts cai's circuit to produce chaos phenomenon mostly.The key element that cai's circuit produces chaos phenomenon is a non-linear resistance, and it is made up of operational amplifier.Cai's circuit itself is a third-order self-governing nonlinear dynamic system, though abundant non-linear phenomena is arranged, it exists the defective of poor stability during as demonstration instrument.
Summary of the invention
The purpose that the utility model will reach is: at the deficiencies in the prior art, provide a kind of stability strong bifurcation chaos experimental demonstration instrument.
The technical scheme that its technical matters that solves the utility model adopts is: bifurcation chaos experimental demonstration instrument, comprise D.C. regulated power supply, signal generator, fork mixing apparatus for demonstrating, oscillograph composition, it is characterized in that, the circuit of described fork mixing apparatus for demonstrating is the active circuit that is added with signal generator Vs, signal generator Vs connects with inductance L, signal generator Vs, inductance L and capacitor C
2Parallel connection, capacitor C
1With capacitor C
2Parallel connection, capacitor C
2With capacitor C
1Between be connected with divider resistance R, also be parallel with two operational amplifiers parallel with one another and peripheral cell thereof.
The beneficial effects of the utility model are, by the nonlinear resistive element in double operational and the some resistance realization cai's circuit, add signal generator, thereby be former third-order self-governing chaos circuit modification quadravalence Non-Self-Governing chaos circuit, guaranteed the stability of demonstration instrument.
Description of drawings
Fig. 1 is a circuit theory synoptic diagram of the present utility model.
Fig. 2 is a connection block diagram of the present utility model.
Among the figure, 1. inductance L, 2. AC power, 3. capacitor C 2,4. resistance R, and 5. capacitor C 1,6. resistance R 3, and 7. resistance R 6, and 8. resistance R 1,9. resistance R 2,10. operational amplifier, 11. resistance R 4,12. resistance R 5,16. D.C. regulated power supplies, 17. oscillographs, 18. the bifurcation chaos apparatus for demonstrating, 19. signal generators.
Embodiment
Bifurcation chaos experimental demonstration device (18), circuit and oscillograph (17) by D.C. regulated power supply (16), generation chaos are formed, described circuit is for being added with the active circuit of signal generator Vs (19), signal generator Vs (19) connects with inductance L (1), signal generator Vs (19), inductance L (1) and capacitor C
2(3) parallel connection, capacitor C
1(5) and capacitor C
2(3) parallel connection, capacitor C
2(3) and capacitor C
1(5) be connected with divider resistance R (4) between, also be parallel with two operational amplifiers parallel with one another and peripheral cell thereof.Operational amplifier in the circuit (10) is TL082.Resistance R 3 (6), resistance R 6 (7), resistance R 1 (8), resistance R 2 (9), resistance R 4 (11), resistance R 5 (12) are the peripheral cell of two operational amplifiers parallel with one another.
Signal generator Vs (19) is as the input of nonlinear system, and system is output as 2 capacitor C
2, C
1Voltage V on (3,5)
2And V
1V
1And V
2As the input of oscillograph (17), change the frequency of signal generator Vs (19) and the situation of change that amplitude difference observation oscilloscope (17) is gone up phasor.
As signal generator Vs (19) when being output as sinusoidal signal, amplitude is got 1.2mV, and frequency begins slowly to increase up to 6kHz from 3kHz.In the process that frequency increases, can see the system motion phasor behind the continuous period doubling bifurcation such as periodic motion, the motion of 2 doubling times, 4 doubling time motions and the phasor of motion of 3 doubling times and chaotic motion from the oscillograph (17) successively, the time domain waveform of simultaneously all right observing system different motion can also be carried out spectrum analysis to different forms of motion if necessary.It is the passage that leads to chaos that this process has clearly been demonstrated continuous period doubling bifurcation.
Claims (1)
1, bifurcation chaos experimental demonstration instrument, comprise D.C. regulated power supply, signal generator, fork mixing apparatus for demonstrating, oscillograph composition, it is characterized in that, the circuit of described fork mixing apparatus for demonstrating is the active circuit that is added with signal generator Vs, signal generator Vs connects with inductance L, signal generator Vs, inductance L and capacitor C
2Parallel connection, capacitor C
1With capacitor C
2Parallel connection, capacitor C
2With capacitor C
1Between be connected with divider resistance R, also be parallel with two operational amplifiers parallel with one another and peripheral cell thereof.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN 200620024303 CN2906792Y (en) | 2006-04-30 | 2006-04-30 | Bifurcation and chaos experiment demonstrator |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN 200620024303 CN2906792Y (en) | 2006-04-30 | 2006-04-30 | Bifurcation and chaos experiment demonstrator |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN2906792Y true CN2906792Y (en) | 2007-05-30 |
Family
ID=38115434
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN 200620024303 Expired - Fee Related CN2906792Y (en) | 2006-04-30 | 2006-04-30 | Bifurcation and chaos experiment demonstrator |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN2906792Y (en) |
Cited By (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN101826839A (en) * | 2010-04-19 | 2010-09-08 | 浙江大学 | Inverter-based chaotic oscillating circuit |
| CN102903282A (en) * | 2012-10-26 | 2013-01-30 | 玉林师范学院 | Integer-order and fractional-order multifunctional chaotic experiment instrument |
| CN104181367A (en) * | 2014-08-29 | 2014-12-03 | 黑龙江大学 | CPLD-based oscilloscope display circuit for observing chaotic system bifurcations |
| CN104464462A (en) * | 2014-12-11 | 2015-03-25 | 西南大学 | Device for demonstrating chaos phenomenon |
-
2006
- 2006-04-30 CN CN 200620024303 patent/CN2906792Y/en not_active Expired - Fee Related
Cited By (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN101826839A (en) * | 2010-04-19 | 2010-09-08 | 浙江大学 | Inverter-based chaotic oscillating circuit |
| 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 |
| CN104181367A (en) * | 2014-08-29 | 2014-12-03 | 黑龙江大学 | CPLD-based oscilloscope display circuit for observing chaotic system bifurcations |
| CN104181367B (en) * | 2014-08-29 | 2017-01-25 | 黑龙江大学 | CPLD-based oscilloscope display circuit for observing chaotic system bifurcations |
| CN104464462A (en) * | 2014-12-11 | 2015-03-25 | 西南大学 | Device for demonstrating chaos phenomenon |
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Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| C14 | Grant of patent or utility model | ||
| GR01 | Patent grant | ||
| C19 | Lapse of patent right due to non-payment of the annual fee | ||
| CF01 | Termination of patent right due to non-payment of annual fee |