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.
Thesis (M.S.) University of Alaska Fairbanks, 2002
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