Title=Chaos

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Chaos and Non-Linear Physics (2.5)




Student's Manual In this experiment we explore the rich notion of nonlinear dynamics and its manifestation in the form of 'chaos'. A simple RL-diode circuit is employed to study this important concept of both mathematical and physical significance.
LabView Code LabVIEW Data Acquisition File
Sample Results (All oscilloscope results taken at Signal Attenuation ratio of 10:1)
Resistor Time Series

Diode Time Series
Phase Portraits
Frequency Spectrums
DC Offsets

Further Readings and References "Transition to Chaos in a Simple Nonlinear Circuit Driven by a Sinosoidal Voltage Source", A. Azzouz, R. Duhr and M. Hasler. IEEE Trans. Circuits Syst., CAS-30 (12), 1983.

“Tools for Detecting Chaos" A.B. Ozer, E. Akin. SA Fen Bilimleri Enstits Dergisi 9. Cilt, 1. Say 2005.
“Evidence for Universal Chaotic Behavior of a Driven oscillator" J. Testa, J Perez and C. Jefferies. Phys. Rev. Lett., 48, 714-717, 1982.
“Exactly Solvable Model of a Physical System Exhibiting Universal Chaotic Behavior" R.W. Rollins and E. R. Hunt. Phys. Rev. Lett., 49, 1295-1298, 1982.
“Period Doubling, Fiegenbaum constant and time series prediction in an experimental chaotic RLD circuit" M. P. Hanias, Z. Avgerinos, G.S. Tombras. Chaos, Solitons and Fractals 40, 1050-1059, 2009.

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