Title=Chaos

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<td width="150>[[media:chasing_chaos.pdf|''Student's Manual'']]</td>
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<td width="150>[[media:chaos3.pdf|''Student's Manual'']]</td>
<td width="698">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.<br></td>
<td width="698">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.<br></td>
<td width="100">[[Image:circuit_chaos.jpg|175px]]</td><br>
<td width="100">[[Image:circuit_chaos.jpg|175px]]</td><br>
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<td width="150">''LabView Code''</td>
<td width="150">''LabView Code''</td>
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<td width="698">[[Media:RLD_DAQ.zip|LabVIEW Data Acquisition File]]<br>
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<td width="698">[[Media:RLD_DAQ2.zip|LabVIEW Data Acquisition File]]<br>
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<td width="150">''Sample Results''</td>
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<td width="150">''Sample Results (All oscilloscope results taken at Attenuation=10:1)''</td>
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<td width="698">[[Media:fourier.pdf|Fourier Transform]]<br>
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<td width="698">[[Media:Resistor Time Series.pdf|Resistor Time Series]]<br>
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[[Media:portrait.pdf|Phase Portrait]]<br>
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[[Media:Diode Time Series.pdf|Diode Time Series]]<br>
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[[Media:poincare.pdf|Poincare Map]]<br>
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[[Media:Phase Portraits.pdf|Phase Portraits]]<br>
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[[Media:Frequency Spectrums.pdf|Frequency Spectrums]]<br>
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Revision as of 12:11, 25 March 2015

Click here to go back to List of Experiments (Lab-II)

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 Attenuation=10:1) Resistor Time Series

Diode Time Series
Phase Portraits
Frequency Spectrums

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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