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dc.contributor.advisorPiccard, Richard D.
dc.contributor.advisorRajnak, Stanley L.
dc.contributor.authorYoung, Eric
dc.date.accessioned2011-09-01T15:54:30Z
dc.date.available2011-09-01T15:54:30Z
dc.date.issued1984
dc.identifier.urihttp://hdl.handle.net/10920/23348
dc.descriptioniv, 57 p.en_US
dc.description.abstractThe response of non-linear resonant systems driven sinusoidally at resonance has complicated dependence on the amplitute of the driving signal. Chaos and bifurcation in driven non-linear resonant systems are examined here in two ways. First, an experimental investigation of a simple electrical circuit (series L-R-diode) exhibiting chaos and bifurcation; second, a Fast Fourier Transform (FFT) analysis of a simple numerical model of such systems as provided by S. Rajnak. FFT analysis was achieved through the implementation on the VAX of the FORTRAN routines of Weinstein, et. al. A "driver shell" was written in FORTRAN, based on an example contained in Weinstein et al, to enable less sophisticated users to obtain FFT's of their data.en_US
dc.format.mimetypeapplication/pdf
dc.language.isoen_USen_US
dc.relation.ispartofKalamazoo College Physics Senior Individualized Projects Collection
dc.relation.ispartofseriesSenior Individualized Projects. Physics.;
dc.rightsU.S. copyright laws protect this material. Commercial use or distribution of this material is not permitted without prior written permission of the copyright holder. All rights reserved.
dc.titleNon-linear Reasonant Systems: Bifurcation and Chaos Development of a Fast Fourier Transform Driveren_US
dc.typeThesisen_US
KCollege.Access.ContactIf you are not a current Kalamazoo College student, faculty, or staff member, email dspace@kzoo.edu to request access to this thesis.


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  • Mathematics Senior Integrated Projects [270]
    This collection includes Senior Integrated Projects (SIP's) completed in the Mathematics Department. Abstracts are generally available to the public, but PDF files are available only to current Kalamazoo College students, faculty, and staff.
  • Physics Senior Integrated Projects [329]
    This collection includes Senior Integrated Projects (SIP's) completed in the Physics Department. Abstracts are generally available to the public, but PDF files are available only to current Kalamazoo College students, faculty, and staff.

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