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oai:www.ideals.illinois.edu:2142/85134 2023-07-11 col_2142_5131 col_2142_14800 com_2142_5130 com_2142_14799 com_2142_234

Namachchivaya, N. Sri McDonald, Robert Joseph 2015-09-25T22:34:34Z 2015-09-25T22:34:34Z 10000-01-01 2000 2000 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. Made available in DSpace on 2015-09-25T22:34:34Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 9971132.pdf: 12101661 bytes, checksum: ccdec9470e5578f83b12d57b7aa54e3c (MD5) Previous issue date: 2000 Embargo set by: Seth Robbins for item 86415 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs U of I Only 295 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2000. http://hdl.handle.net/2142/85134 (MiAaPQ)AAI9971132 eng Engineering, Mechanical Bifurcations of Parametrically Excited Gyroscopic Systems Near a 0 : 1 Resonance text Aerospace Engineering Aerospace Engineering University of Illinois at Urbana-Champaign Dissertation Ph.D.