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University of Illinois at Urbana-Champaign

Stochastically Perturbed Dynamics of Hamiltonian Systems Near 1:1-Resonance

Abstract

dc:description

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.

Degree

thesis:*
Name thesis:degree_name
Ph.D.
Level thesis:degree_level
Dissertation
Discipline thesis:degree_discipline
Aerospace Engineering
Grantor
University of Illinois at Urbana-Champaign
Year dc:date
2015

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Ramakrishnan, Narayanan
Contributors dc:contributor
  • Namachchivaya, N. Sri

Subjects

dc:subject × 1

Rights

Language dc:language
eng

Identifiers

dc:identifier.*
Identifier
(MiAaPQ)AAI3023177
OAI identifier oai:identifier
oai:www.ideals.illinois.edu:2142/85070

Chain of custody

source
Harvested from
University of Illinois - Urbana-Champaign
Base URL
www.ideals.illinois.edu/oai-pmh
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
citation

Ramakrishnan, Narayanan. Stochastically Perturbed Dynamics of Hamiltonian Systems Near 1:1-Resonance. Dissertation thesis, University of Illinois at Urbana-Champaign, 2015. http://hdl.handle.net/2142/85070