NOISE-INFLUENCED DYNAMICS OF NONLINEAR OSCILLATORS

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dc.contributor.advisorBalachandran, Balakumaren_US
dc.contributor.authorPerkins, Edmonen_US
dc.contributor.departmentMechanical Engineeringen_US
dc.contributor.publisherDigital Repository at the University of Marylanden_US
dc.contributor.publisherUniversity of Maryland (College Park, Md.)en_US
dc.date.accessioned2016-02-06T06:35:08Z
dc.date.available2016-02-06T06:35:08Z
dc.date.issued2015en_US
dc.description.abstractNoise is usually considered detrimental to the performance of a system and the effects of noise are usually mitigated through design and/or control. In this dissertation, noise-influenced phenomena and qualitative changes in responses of nonlinear systems with noise are explored. Here, the author considers a range of nonlinear dynamical systems, including an array of nonlinear, coupled oscillators, a vertically excited pendulum, the Duffing oscillator, and a Rayleigh-Duffing mixed type oscillator. These systems are studied analytically and numerically via stochastic direct numerical integration, and analytically via the Fokker-Planck equation. The array of nonlinear, coupled oscillators is also experimentally studied. The topics covered in this dissertation are as follows: i) the destruction and formation of energy localizations in an array of oscillators, ii) a technique to stabilize an inverted pendulum by using noise, iii) a noise-utilizing control scheme, iv) the effects of noise on the response of a nonlinear system that exhibits chaotic behavior, v) and the effects of phase lag on the information rate of a Duffing oscillator. The understanding gained through this dissertation efforts can be of benefit to a variety of nonlinear systems, including structural systems at the macro-scale, micro-scale, and nano-scale.en_US
dc.identifierhttps://doi.org/10.13016/M2371C
dc.identifier.urihttp://hdl.handle.net/1903/17237
dc.language.isoenen_US
dc.subject.pqcontrolledMechanical engineeringen_US
dc.subject.pqcontrolledApplied mathematicsen_US
dc.subject.pquncontrolledcoupled oscillator arrayen_US
dc.subject.pquncontrolledintrinsic localized modesen_US
dc.subject.pquncontrollednoise-induced phenomenaen_US
dc.subject.pquncontrollednonlinear dynamicsen_US
dc.subject.pquncontrollednonlinear oscillatorsen_US
dc.subject.pquncontrolledstochastic dynamicsen_US
dc.titleNOISE-INFLUENCED DYNAMICS OF NONLINEAR OSCILLATORSen_US
dc.typeDissertationen_US

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