Chua's Oscillator circuit


Posted on Feb 23, 2013

The applet shows a simulation of Chua's circuit, plotting the voltage measured across C1 against the voltage measured across C2. This corresponds to the display on an X-Y oscilloscope with probes connected across these capacitors. The initial values of the parameters used in the applet correspond to the component values in the circuit diagram, and show a simple periodic orbit (oscillation). The transition to chaotic dynamics can be found by carefully decreasing R or C1, (e.g. decrease R in steps of 0.01 to 1.2K). The simulation compares well with what is actually seen on an oscilloscope. Chaos seems to develop via a subharmonic cascade.


Chua's Oscillator circuit
Click here to download the full size of the above Circuit.

If you do not have access to an oscilloscope, you can use the voltage across C1 or C2 as the input to a high input impedance audio amplifier (with the component values shown the frequency of the oscillations is in the audio range). It turns out that the ear is very sensitive to the development of a weak subharmonic. The subharmonic becomes the fundamental an octave below the original tone, and the ear hears the note drop an octave even when the intensity of the new fundamental is very weak. The first two or three transitions in the subharmonic cascade route to chaos, and the onset of chaos (noise!) are very audible.




Leave Comment

characters left:

New Circuits

.

 


Popular Circuits

Automatic mooring light
Digital Miscellaneous Temperature Gauge
Automatic timer switch with ua741
1-Wire Two-way level converter unit (from 1.8V to 5V) Reference design
wireless fm transmitter
BA1404 FM Stereo modulator circuit design electronic project
Digital Step-Km Counter
Programming the microcontroller
A welding load automatic power-off circuit
AD594 to a 597 basic application circuit
Hitachi np8c switching power supply circuit diagram



Top