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dc.contributor.advisorChicone, Carmen Charleseng
dc.contributor.authorFelts, K. R., 1978-eng
dc.date.issued2009eng
dc.date.submitted2009 Springeng
dc.descriptionTitle from PDF of title page (University of Missouri--Columbia, viewed on Feb 11, 2010).eng
dc.descriptionThe entire thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file; a non-technical public abstract appears in the public.pdf file.eng
dc.descriptionDissertation advisor: Dr. Carmen Chiconeeng
dc.descriptionVita.eng
dc.descriptionIncludes bibliographical references.eng
dc.descriptionPh.D. University of Missouri--Columbia 2009.eng
dc.descriptionDissertations, Academic -- University of Missouri--Columbia -- Mathematicseng
dc.description.abstractThis thesis is a compilation of work done in the field of oscillators. One topic is an investigation into impact oscillators and their properties. The second topic is concerned with excitation of oscillators. The thesis begins with mathematical preliminaries; this chapter will explain Hertzian contact and Melnikov theory. The next chapter investigates a mathematical model utilizing Hertzian contact to predict the behavior of a steel pendulum bob striking an aluminum alloy barrier. The model is shown to capture the qualitative and quantitative behavior of the impact oscillator and demonstrates a new qualitative effect: Existence of a non-monotone period function. The following chapter will prove the existence of a non-monotone period function for more general impact oscillators. The final chapter is devoted to excitation of energy in periodic or nearly periodic classical Hamiltonian systems.eng
dc.format.extentvii, 65 pageseng
dc.identifier.oclc515970628eng
dc.identifier.urihttps://hdl.handle.net/10355/6147
dc.identifier.urihttps://doi.org/10.32469/10355/6147eng
dc.languageEnglisheng
dc.publisherUniversity of Missouri--Columbiaeng
dc.relation.ispartofcollectionUniversity of Missouri--Columbia. Graduate School. Theses and Dissertationseng
dc.subjectHertzian contact; Melnikov theory; impact oscillatoreng
dc.subjectHertzian contact; Melnikov theory; impact oscillatoreng
dc.subject.lcshOscillationseng
dc.subject.lcshNonlinear oscillatorseng
dc.subject.lcshDifferential equations -- Oscillation theoryeng
dc.subject.lcshHamiltonian systemseng
dc.subject.lcshChaotic behavior in systemseng
dc.titleOscillators: resonances and excitationseng
dc.typeThesiseng
thesis.degree.disciplineMathematics (MU)eng
thesis.degree.grantorUniversity of Missouri--Columbiaeng
thesis.degree.levelDoctoraleng
thesis.degree.namePh. D.eng


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