Bifurcations of Parametrically Excited Gyroscopic Systems Near a 0 : 1 Resonance

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.

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 dc:creator

• McDonald, Robert Joseph

Contributors dc:contributor

• Namachchivaya, N. Sri

• Engineering, Mechanical

Language dc:language

eng

Identifier

(MiAaPQ)AAI9971132

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/85134