In this paper, an efficient algorithm is developed for the identification of stable steady-state solutions to periodically forced linear and nonlinear dynamical systems. The developed method is based on mapping techniques introduced by Henri Poincare' and the theory of one-parameter transformation groups. The algorithm successfully identifies initial conditions which give rise to strictly periodic orbits. The technique is demonstrated on selected problems associated with linear as well as nonlinear systems.
Library of Congress Subject Headings
Oscillations; Linear analysis; Nonlinear mechanics
Department, Program, or Center
Mechanical Engineering (KGCOE)
Tucher, Christopher A., "Steady-state oscillations of linear and nonlinear systems" (1992). Thesis. Rochester Institute of Technology. Accessed from
RIT – Main Campus