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Title:Experimental Evidence for Mixed Reality States in an Interreality System, And, Generalized Resonant Forcing of Nonlinear Dynamics
Author(s):Gintautas, Vadas
Doctoral Committee Chair(s):Hubler, Alfred
Department / Program:Physics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Subject(s):Physics, General
Abstract:This work also explores resonances of nonlinear systems. This includes time-discrete chaotic maps as well as generalized systems of nonlinear first order differential equations. The calculus of variations is used to determine the minimal additive forcing function that induces a desired terminal response. In contrast to previous efforts, in this work only select degrees of freedom are forced, corresponding to a very general class of problems in which not all of the degrees of freedom in an experimental system are accessible to forcing. Certain Lagrange multipliers take on a fundamental physical role as the efficiency of the forcing function and the effective forcing experienced by the degrees of freedom which are not forced directly. Furthermore, the product of the displacement of nearby trajectories and the effective total forcing function is a conserved quantity. The efficacy of this methodology is demonstrated with several examples.
Issue Date:2008
Description:77 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2008.
Other Identifier(s):(MiAaPQ)AAI3337760
Date Available in IDEALS:2015-09-25
Date Deposited:2008

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