Title=Magnetic pendulum

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<td width="150" valign="top">''Sample Results''</td>
<td width="150" valign="top">''Sample Results''</td>
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<td width="698">[[Media:chaotic_plot.pdf|Phase portrait: chaotic response]]<br>[[Media:chaotic_timeseries.pdf|Time Series: chaotic response]]<br>[[Media:chaoticpoincaremapnew.pdf|Poincare Map: chaotic response]]<br>[[Media:fftchaotic.pdf|Fourier transform: chaotic response]]<br>[[Media:periodicfft.pdf|Fourier transform: periodic response]]<br>[[Media:periodicphasemap.pdf|Phase portrait: periodic response]]<br>[[Media:poincaremapperiodicnew.pdf|Poincare map: periodic response]]<br>[[Media:timeseriesperiodic.pdf|Time series: periodic response]]<br>
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<td width="698" valign="top">[[Media:chaotic_plot.pdf|Phase portrait: chaotic response]]<br>[[Media:chaotic_timeseries.pdf|Time Series: chaotic response]]<br>[[Media:chaoticpoincaremapnew.pdf|Poincare Map: chaotic response]]<br>[[Media:fftchaotic.pdf|Fourier transform: chaotic response]]<br>[[Media:periodicfft.pdf|Fourier transform: periodic response]]<br>[[Media:periodicphasemap.pdf|Phase portrait: periodic response]]<br>[[Media:poincaremapperiodicnew.pdf|Poincare map: periodic response]]<br>[[Media:timeseriesperiodic.pdf|Time series: periodic response]]<br>
<td width="100" valign="top">[[Image:pendulum_setup2.JPG|220px]]</td>
<td width="100" valign="top">[[Image:pendulum_setup2.JPG|220px]]</td>
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Revision as of 13:18, 21 May 2015

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

The Magnetic Pendulum (2.12)

Student's Manual In this experiment, we will explore the notion of chaotic dynamics using a magnetic pendulum.
LabView Code LabVIEW Data Acquisition file
Matlab Code Matlab function file
Sample Results Phase portrait: chaotic response
Time Series: chaotic response
Poincare Map: chaotic response
Fourier transform: chaotic response
Fourier transform: periodic response
Phase portrait: periodic response
Poincare map: periodic response
Time series: periodic response
Further Readings and References "Experiments with a magnetically controlled pendulum" Yaakov Kraftmakher, Eur. J. Phys. 28 (2007) 1007-1020.

"Nonlinear dynamics of a sinusoidally driven pendulum in a repulsive magnetic field", A. Siahmakoun, V. A. French, J. Patterson, Am. J. Phys. 65 (5), May 1997.
"A unit of oscillations, determinism and chaos for introductory physics students", Priscilla W. Laws, Am. J. Phys. 72 (4), April 2003.
"Tools for detecting chaos", A. B. Ozer, E. Akin, SA Fen Bilimleri Enstits Dergisi 9. Cilt, 1. Say 2005.
"Chasing Chaos with an RL-Diode Circuit", Junaid Alam, M. Sabieh Anwar.
"Applied Mathematics for Engineers and Physicists", Loius A. Pipes, Lawrence R. Harvill, Third Edition, International Student Edition, McGraw-Hill Kogakusha Ltd. pp. 598-601, (1970)


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