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Title:Bifurcations of Parametrically Excited Gyroscopic Systems Near a 0 : 1 Resonance
Author(s):McDonald, Robert Joseph
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 final part of this research involves study of the global bifurcations of the two gyroscopic systems. Using recently developed bifurcation methods, we detect the presence of multi-pulse orbits homoclinic to a slow manifold. In certain parameter regions, we can prove that multi-pulse orbits exist which are homoclinic to fixed points on the slow manifold, leading to chaotic dynamics in the system. These multi-pulse orbits provide the mechanism by which energy transfer between modes may occur.
Issue Date:2000
Type:Text
Language:English
Description:295 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2000.
URI:http://hdl.handle.net/2142/85134
Other Identifier(s):(MiAaPQ)AAI9971132
Date Available in IDEALS:2015-09-25
Date Deposited:2000


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