This volume contains the proceedings of the AMS Special Session on Nonstandard Finite-Difference Discretizations and Nonlinear Oscillations in honor of Ronald Mickens's 70th birthday held January 9-10 2013 in San Diego CA. Included are papers on design and analysis of discrete-time and continuous-time dynamical systems arising in the natural and engineering sciences in particular the design of robust nonstandard finite-difference methods for solving continuous-time ordinary and partial differential equation models the analytical and numerical study of models that undergo nonlinear...