TY - JOUR
TI - Analyzing Periodic Solutions of an ODE Suspension Bridge Model using Difference Equations and Polynomial Methods
PY - 2014/11/04
Y2 - 2024/07/21
JF - European Journal of Pure and Applied Mathematics
JA - Eur. J. Pure Appl. Math.
VL - 7
IS - 4
LA - en
UR - https://ejpam.com/index.php/ejpam/article/view/2287
SP - 442-461
AB - In [14], McKenna and Moore studied oscillations in a suspension bridge by investigating periodic solutions to a differential equations model for the bridge and its linearized version numerically. In this paper, the author seeks to build a rigorous mathematical foundation for the numerical experiments of McKenna and Moore in [14] by studying an associated discrete difference equations model using an interplay of ideas from engineering, discrete dynamical systems, algebraic geometry and the theory of polynomials.Â
ER -