{"data":{"id":"10.13016/m2371c","type":"dois","attributes":{"doi":"10.13016/m2371c","prefix":"10.13016","suffix":"m2371c","identifiers":[],"alternateIdentifiers":[],"creators":[{"name":"Perkins, Edmon","nameType":"Personal","givenName":"Edmon","familyName":"Perkins","affiliation":[],"nameIdentifiers":[]}],"titles":[{"title":"NOISE-INFLUENCED DYNAMICS OF NONLINEAR OSCILLATORS"}],"publisher":"Digital Repository at the University of Maryland","container":{},"publicationYear":2015,"subjects":[{"subject":"Mechanical engineering","subjectScheme":"pqcontrolled"},{"subject":"FOS: Mechanical engineering","schemeUri":"http://www.oecd.org/science/inno/38235147.pdf","subjectScheme":"Fields of Science and Technology (FOS)"},{"subject":"Applied mathematics","subjectScheme":"pqcontrolled"},{"subject":"coupled oscillator array","subjectScheme":"pquncontrolled"},{"subject":"intrinsic localized modes","subjectScheme":"pquncontrolled"},{"subject":"noise-induced phenomena","subjectScheme":"pquncontrolled"},{"subject":"nonlinear dynamics","subjectScheme":"pquncontrolled"},{"subject":"nonlinear oscillators","subjectScheme":"pquncontrolled"},{"subject":"stochastic dynamics","subjectScheme":"pquncontrolled"}],"contributors":[],"dates":[{"date":"2015","dateType":"Issued"}],"language":"en","types":{"ris":"THES","bibtex":"phdthesis","citeproc":"thesis","schemaOrg":"Thesis","resourceType":"Dissertation","resourceTypeGeneral":"Collection"},"relatedIdentifiers":[],"relatedItems":[],"sizes":[],"formats":[],"version":null,"rightsList":[],"descriptions":[{"description":"Noise 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.   \n\nHere, 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.","descriptionType":"Abstract"}],"geoLocations":[],"fundingReferences":[],"xml":"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","url":"http://hdl.handle.net/1903/17237","contentUrl":null,"metadataVersion":0,"schemaVersion":"http://datacite.org/schema/kernel-2.2","source":null,"isActive":true,"state":"findable","reason":null,"viewCount":0,"viewsOverTime":[],"downloadCount":0,"downloadsOverTime":[],"referenceCount":0,"citationCount":0,"citationsOverTime":[],"partCount":0,"partOfCount":0,"versionCount":0,"versionOfCount":0,"created":"2016-02-06T06:35:16.000Z","registered":"2016-02-06T06:35:17.000Z","published":"2015","updated":"2020-08-19T22:10:39.000Z"},"relationships":{"client":{"data":{"id":"umd.lib","type":"clients"}},"provider":{"data":{"id":"umd","type":"providers"}},"media":{"data":{"id":"10.13016/m2371c","type":"media"}},"references":{"data":[]},"citations":{"data":[]},"parts":{"data":[]},"partOf":{"data":[]},"versions":{"data":[]},"versionOf":{"data":[]}}}}