I will discuss recent results on the bifurcation of spatially localized statesfrom a continuum of extended states. This phenomenon plays an important rolein the mathematical study of wave propagation in ordered microstructures, which are perturbed by spatially compact or non-compact defects.Near the bifurcation point, there is strong spatial sca...
Weinstein, Michael I. (Columbia University)
University of Minnesota, Institute for Mathematics and its Applications.