Why Newton's method is hard for travelling waves: Small denominators, KAM theory, Arnold's linear Fourier problem, non-uniqueness, constraints and erratic failure.

John P. Boyd Why Newton's method is hard for travelling waves: Small denominators, KAM theory, Arnold's linear Fourier problem, non-uniqueness, constraints and erratic failure. 72-81 2007 74 Mathematics and Computers in Simulation 2-3 http://dx.doi.org/10.1016/j.matcom.2006.10.001 db/journals/mcs/mcs74.html#Boyd07