Stochastically Perturbed Dynamics of Hamiltonian Systems Near 1:1-Resonance
Ramakrishnan, Narayanan
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https://hdl.handle.net/2142/85070
Description
Title
Stochastically Perturbed Dynamics of Hamiltonian Systems Near 1:1-Resonance
Author(s)
Ramakrishnan, Narayanan
Issue Date
2001
Doctoral Committee Chair(s)
Namachchivaya, N. Sri
Department of Study
Aerospace Engineering
Discipline
Aerospace Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Engineering, Mechanical
Language
eng
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.
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