id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-2287	Basu, Sukanya	Analyzing Periodic Solutions of an ODE Suspension Bridge Model using Difference Equations and Polynomial Methods	2014	20	.pdf	application/pdf	7771	410	67	It was also missing three key aspects, namely, (a) bounds on the number of real equilibria and real periodic solutions, (b) existence conditions for the real equilibria and periodic solutions, and (c) global attractivity results for these solutions including basins of attraction and precise bifurcation values for the parameters λ and µ. In this paper, the author will set up a rigorous mathematical foundation for the McKenna- Moore suspension bridge model (1) by first discretizing it and then employing analytical and geometrical methods from the theory of difference equations (see [2–4, 9–12, 15]) to analyze equilibria and periodic solutions of the resulting difference equation. Since periodic solutions of discrete 2D-systems occur in pairs, one can conclude that there exist at most three pairs of real nontrivial periodic solutions of equation (12) for 0<	cache/ejpam-2287.pdf	txt/ejpam-2287.txt