Stochastic stability and global bifurcations in gyroscopic mechanical systems

The stability and bifurcation behavior of mechanical systems parametrically excited by small periodic or stochastic perturbations is studied. In the case of random excitation, the almost-sure and moment asymptotic stability of two- and four-dimensional dynamical systems subject to small intensity noise is investigated. The almost-sure stability is defined by the sign of the maximal Lyapunov exponent, the exponential growth rate of solutions to a linear stochastic system. Similarly, the moment stability of such a system is determined by the sign of the moment Lyapunov exponent which describes the exponential growth rate of the moments of solutions to a linear stochastic system.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Aeronautical and Astronautical Engineering

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2011

Author dc:creator

• Doyle, Monica Margaret

Contributors dc:contributor

• Namachchivaya, N. Sri

• Applied Mechanics
• Engineering, Aerospace
• Engineering, Mechanical

Statement dc:rights

• Copyright 1995 Doyle, Monica Margaret

Language dc:language

eng

Identifier

AAI9543572
(UMI)AAI9543572

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/19516