Localized Structures in Pattern-Forming Systems: Worms, Pulses, Oscillons

Hermann Riecke
Engineering Sciences and Applied Mathematics
Northwestern University

Abstract: A wide range of physical systems undergoes bifurcations to spatial and temporal patterns when they are driven sufficiently strongly. Of great recent interest have been systems in which the appearing patterns do not extend over the whole system but become localized in only a small part of it, although the system is translationally invariant. In this talk two such structures will be discussed: oscillons on the surface of vertically vibrated granular media and worms in electroconvection of nematic liquid crystals.