@article{38111, keywords = {waves, discrete, discrete kinks, goldstone modes, kink dynamics, sine-gordon system, universal scalings}, author = {Kevrekidis and Kevrekidis and Bishop}, title = {Propagation failure, universal scalings and Goldstone modes}, abstract = { Ln a recent paper, Kladko ct al. (Phys. Rev. Lett. 84 (2000) 4505) studied front propagation failure in lattices of nonlinear diffusively coupled cells. This phenomenon is revisited here and associated with a saddle-node infinite period bifurcation. The results are used to compare existing theories on Goldstone modes and Peierls-Nabarro barriers for parabolic and hyperbolic systems. (C) 2001 Published by Elsevier Science B.V. }, year = {2001}, journal = {Physics Letters APhysics Letters A}, volume = {279}, pages = {361-369}, month = {02/2001}, isbn = {0375-9601}, language = {English}, }