ChaoticCircuits: Difference between revisions
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|Name=Chaotic circuits | |Name=Chaotic circuits | ||
|Status=Completed | |Status=Completed | ||
|Contact= | |Contact=User:Gori | ||
}} | }} | ||
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__FORCETOC__ | __FORCETOC__ | ||
Build a simple | Build a simple electronic chaos demo for my course. Chaos can be observed using an oscilloscope. A portable one can be built with [http://code.google.com/p/arduinoscope/ an arduino] | ||
== Background reading == | == Background reading == | ||
* One of the simplest possible chaotic circuits : http://www-physics.ucsd.edu/~des/DSmithChaosExperiment.pdf | * One of the simplest possible chaotic circuits: http://www-physics.ucsd.edu/~des/DSmithChaosExperiment.pdf | ||
* | * This one seems particularly interesting - possibility o encrypt analog sygnal: http://www.fortunecity.com/emachines/e11/86/circsync.html | ||
* http://www.cornellcollege.edu/physics/courses/phy312/Student-Projects/Chaotic-circuits/Chaos.html | * http://www.cornellcollege.edu/physics/courses/phy312/Student-Projects/Chaotic-circuits/Chaos.html | ||
* Original paper: [ | * Original paper: [http://link.aps.org/doi/10.1103/PhysRevLett.47.1349 Period Doubling and Chaotic Behavior in a Driven Anharmonic Oscillator] | ||
| Line 22: | Line 22: | ||
Create the circuit that works at a lower frequency. Smith also describes a circuit that operates at 75 KHz instead of 2 MHz. Main bottle neck is the required large inductance | Create the circuit that works at a lower frequency. Smith also describes a circuit that operates at 75 KHz instead of 2 MHz. Main bottle neck is the required large inductance | ||
Goal is to : | Goal is to: | ||
* Be able to hear the chaos | * Be able to hear the chaos | ||
* Have the whole thing portable, without the need for an external oscilloscope and signal generator | * Have the whole thing portable, without the need for an external oscilloscope and signal generator | ||
| Line 29: | Line 29: | ||
Todo: | Todo: | ||
* Calculate the inductance and capacitance required to achieve a resonant frequency in the audible range, preferably around 440 Hz. Conservative human hearing range is from 20 Hz to 15 kHz. | * Calculate the inductance and capacitance required to achieve a resonant frequency in the audible range, preferably around 440 Hz. Conservative human hearing range is from 20 Hz to 15 kHz. | ||
* Identify the operational limits of the [ | * Identify the operational limits of the [http://code.google.com/p/arduinoscope/ arduinoscope] - max seems to be around 200 kHz, well above audible range | ||
* Make sure that an arduino based scope can observe the signal. | * Make sure that an arduino based scope can observe the signal. | ||
* salvage/build/buy an appropriate spool | * salvage/build/buy an appropriate spool | ||
| Line 39: | Line 39: | ||
== Version 1.0 == | == Version 1.0 == | ||
* Following : http://www-physics.ucsd.edu/~des/DSmithChaosExperiment.pdf | * Following: http://www-physics.ucsd.edu/~des/DSmithChaosExperiment.pdf | ||
* Working oscilloscope and signal generator present, capable of 2Mhz | * Working oscilloscope and signal generator present, capable of 2Mhz | ||
* Components according to the manual : | * Components according to the manual: | ||
** 200 ohm resistor | ** 200 ohm resistor | ||
** inductor, 100 microHenry needed, available a PE-53653 , with 16.1�H | ** inductor, 100 microHenry needed, available a PE-53653 , with 16.1�H | ||
| Line 47: | Line 47: | ||
* As built, the circuit does not display any chaotic behavior as we change the amplitude, The inductor is almost 5 times to weak. | * As built, the circuit does not display any chaotic behavior as we change the amplitude, The inductor is almost 5 times to weak. | ||
* I have several spools, adding an extra spool in series, bringing the inductance up to 32 �H does not help. | * I have several spools, adding an extra spool in series, bringing the inductance up to 32 �H does not help. | ||
* When adding random spools, it is good to measure its inductance. Here is a way to do it : http://www.daycounter.com/Articles/How-To-Measure-Inductance.phtml | * When adding random spools, it is good to measure its inductance. Here is a way to do it: http://www.daycounter.com/Articles/How-To-Measure-Inductance.phtml | ||
=== BOM === | === BOM === | ||
| Line 57: | Line 57: | ||
** Amplitude op 0 dB | ** Amplitude op 0 dB | ||
** sinus signaal | ** sinus signaal | ||
* Improvements needed : | * Improvements needed: | ||
** Calculate / measure the currently installed inductance, and bring it up to spec, so that we get a nicer signal split than now | ** Calculate / measure the currently installed inductance, and bring it up to spec, so that we get a nicer signal split than now | ||
* With smedings help, we determined that the inductance of the three coils is 1351 uH or approx 1.4 mH | * With smedings help, we determined that the inductance of the three coils is 1351 uH or approx 1.4 mH | ||
=== Results === | === Results === | ||
<gallery> | |||
Image:1-period.JPG | |||
Image:2-period.JPG | |||
Image:4-period.JPG | |||
Image:8-period.JPG | |||
Image:chaos.JPG | |||
Image:circuit.JPG | |||
</gallery> | |||
Latest revision as of 16:09, 26 November 2012
| Project Chaotic circuits | |
|---|---|
| Status | Completed |
| Contact | User:Gori |
| Last Update | 2012-11-26 |
see also IgorsProjectIdeas
Build a simple electronic chaos demo for my course. Chaos can be observed using an oscilloscope. A portable one can be built with an arduino
Background reading
- One of the simplest possible chaotic circuits: http://www-physics.ucsd.edu/~des/DSmithChaosExperiment.pdf
- This one seems particularly interesting - possibility o encrypt analog sygnal: http://www.fortunecity.com/emachines/e11/86/circsync.html
- http://www.cornellcollege.edu/physics/courses/phy312/Student-Projects/Chaotic-circuits/Chaos.html
- Original paper: Period Doubling and Chaotic Behavior in a Driven Anharmonic Oscillator
Version 2.0
Create the circuit that works at a lower frequency. Smith also describes a circuit that operates at 75 KHz instead of 2 MHz. Main bottle neck is the required large inductance
Goal is to:
- Be able to hear the chaos
- Have the whole thing portable, without the need for an external oscilloscope and signal generator
- Have it nice and presentable so it can be used as a demo
Todo:
- Calculate the inductance and capacitance required to achieve a resonant frequency in the audible range, preferably around 440 Hz. Conservative human hearing range is from 20 Hz to 15 kHz.
- Identify the operational limits of the arduinoscope - max seems to be around 200 kHz, well above audible range
- Make sure that an arduino based scope can observe the signal.
- salvage/build/buy an appropriate spool
- create a suitable analogue signal generator that can drive the whole thing. Arduino can no do this, as it has no analogue circuitry for the job. PWM will (propbably) not do.
- Add speakers in order to hear the chaotic harmonics under/overtones
- package it is something transparent so that it makes a nice demo
Version 1.0
- Following: http://www-physics.ucsd.edu/~des/DSmithChaosExperiment.pdf
- Working oscilloscope and signal generator present, capable of 2Mhz
- Components according to the manual:
- 200 ohm resistor
- inductor, 100 microHenry needed, available a PE-53653 , with 16.1�H
- diode - either works: 1N4001, 1N4004, 1N4005, 1N4007
- As built, the circuit does not display any chaotic behavior as we change the amplitude, The inductor is almost 5 times to weak.
- I have several spools, adding an extra spool in series, bringing the inductance up to 32 �H does not help.
- When adding random spools, it is good to measure its inductance. Here is a way to do it: http://www.daycounter.com/Articles/How-To-Measure-Inductance.phtml
BOM
- 1N4007 diode
- 220 ohm resistor
- (2 x 16) 32 �H + a random spool (code 471K 98139)
- Signal:
- 1.5 MHz
- Amplitude op 0 dB
- sinus signaal
- Improvements needed:
- Calculate / measure the currently installed inductance, and bring it up to spec, so that we get a nicer signal split than now
- With smedings help, we determined that the inductance of the three coils is 1351 uH or approx 1.4 mH
