Date of Award
8-17-2002
Document Type
Thesis
Abstract
We offer a new symbolic computation of stability boundaries for linear systems of time-periodic delay differential equations with the period being equal to the delay. We construct an approximation of the 'infinite-dimensional Floquet transition matrix' U using the variation of parameters method, Picard iteration, and Chebyshev approximation techniques. A 'Mathematica' program approximately computes 'U'. We show the stability boundaries of well-known examples of delay differential equations in mathematics and mechanics.
Recommended Citation
Averina, Victoria, "Symbolic stability of delay differential equations" (2002). Theses (Unassigned). 15.
https://ualaska.researchcommons.org/uaf_unassigned_theses/15
Handle
http://hdl.handle.net/11122/6276