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Title:Stochastically Perturbed Dynamics of Hamiltonian Systems Near 1:1-Resonance
Author(s):Ramakrishnan, Narayanan
Doctoral Committee Chair(s):Namachchivaya, N. Sri
Department / Program:Aerospace Engineering
Discipline:Aerospace Engineering
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Engineering, Mechanical
Abstract:The importance of resonances and the effect of near-resonant motion of trajectories on the averaged dynamics of stochastically perturbed two-degrees of freedom integrable systems is emphasized throughout the study. The extension of the method of stochastic averaging on graphs to 1:1-resonant Hamiltonian systems forms the other major aspect of this work.
Issue Date:2001
Type:Text
Language:English
Description:202 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2001.
URI:http://hdl.handle.net/2142/85070
Other Identifier(s):(MiAaPQ)AAI3023177
Date Available in IDEALS:2015-09-25
Date Deposited:2001


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