Synchronization of Chaotic Circuits
Document Type
Oral Presentation
Campus where you would like to present
SURC Ballroom C/D
Start Date
15-5-2014
End Date
15-5-2014
Keywords
Synchronization, Chaotic, Circuit
Abstract
This research project investigates synchronization of two identical simple chaotic circuits. There has been interest in synchronized chaotic circuits as a possible means of signal encryption. We selected a chaotic differential equation from the paper “Simple chaotic systems and circuits,” by J.C. Sprott, published in the American Journal of Physics in 2000. Then, we designed and assembled a circuit that realizes the differential equation. Our implementation contained three 741 operational amplifiers, one AD734 chip, four 100kΩ resistors, one 10kΩ resistor, one variable resistor, and several power supplies. We qualitatively investigated the circuit using an oscilloscope and determined that it behaved chaotically. We then assembled another approximately identical chaotic circuit to investigate the synchronization of chaotic signals. We tried several different coupling schemes and observed phase space behaviors of the coupled circuits using an oscilloscope. Initial results for this system indicate that an extremely simple but not particularly useful coupling scheme permits synchronization of the two chaotic signals.
Recommended Citation
Choe, Kevin, "Synchronization of Chaotic Circuits" (2014). Symposium Of University Research and Creative Expression (SOURCE). 16.
https://digitalcommons.cwu.edu/source/2014/posters/16
Poster Number
3
Additional Mentoring Department
Physics
Synchronization of Chaotic Circuits
SURC Ballroom C/D
This research project investigates synchronization of two identical simple chaotic circuits. There has been interest in synchronized chaotic circuits as a possible means of signal encryption. We selected a chaotic differential equation from the paper “Simple chaotic systems and circuits,” by J.C. Sprott, published in the American Journal of Physics in 2000. Then, we designed and assembled a circuit that realizes the differential equation. Our implementation contained three 741 operational amplifiers, one AD734 chip, four 100kΩ resistors, one 10kΩ resistor, one variable resistor, and several power supplies. We qualitatively investigated the circuit using an oscilloscope and determined that it behaved chaotically. We then assembled another approximately identical chaotic circuit to investigate the synchronization of chaotic signals. We tried several different coupling schemes and observed phase space behaviors of the coupled circuits using an oscilloscope. Initial results for this system indicate that an extremely simple but not particularly useful coupling scheme permits synchronization of the two chaotic signals.
Faculty Mentor(s)
Braunstein, Michael