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Article #114Re: Fractal Oscillator Circuitry
From: sprott
Date: Wed, 07 Oct 1992 20:09
Date: Wed, 07 Oct 1992 20:09
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If anyone is interested in building a chaotic RLC circuit that works at audio frequencies, I can offer some advice. Testa, et. al. used a varactor diode (1N953) whose reverse capacitance is small and depends on voltage. They operated at 100 kHz, and it is difficult to lower the frequency into the audio range with such a device. However, an ordinary power diode also has a voltage variable capacitance which can be very large (microfarads) when forward biased and which also depends on voltage. With a good quality inductor of around 100 mH, it's easy to get the resonance down to around 10 kHz. Just apply a sine wave of at least 10 V peak to the inductor and diode in series. Connect an audio amplifier with a high input impedance across the diode, and you will at least four period doublings (5, 2.5, 1.25 kHz) and then chaos as you raise the oscillator voltage. I have such a circuit that I take around the country to illustrate chaos presentations. Be sure the inductor has high-Q, the oscillator can put out in excess of ten volts, and the amplifier doesn't load the circuit. You can also display the attractor on an oscilloscope with the oscillator voltage on one axis and the diode voltage on the other. Very effective and highly recommended!
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arc1-ca.pugleaf.net!sparky!uunet!elroy.jpl.nasa.gov!sdd.hp.com!caen!uwm.edu!zazen!psl.wisc.edu!SPROTT@128.104.39.173References:
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Newsgroups: sci.fractals Path: arc1-ca.pugleaf.net!sparky!uunet!elroy.jpl.nasa.gov!sdd.hp.com!caen!uwm.edu!zazen!psl.wisc.edu!SPROTT@128.104.39.173 From: sprott@128.104.39.173 Subject: Re: Fractal Oscillator Circuitry Message-ID: <00961BE3.44B16140@128.104.39.173> Sender: news@pslu1.psl.wisc.edu (USENET News System) Reply-To: sprott@128.104.39.173 Organization: Univ. of Wisconsin, Plasma Physics References: <1992Oct05.234429.10063@bnr.ca>,<1992Oct6.193550.14274@cbfsb.cb.att.com> Date: Wed, 07 Oct 1992 16:09:03 EDT Lines: 18