Monday, May 19, 2014, 04:00pm - 05:00pm
May 19th: “Spatially Localized Structures: Basic Theory”
Abstract: Spatially localized structures are common in nature. The first lecture will provide an overview of the occurrence and properties of such structures in diverse areas of the physical and biological sciences. A basic physical and mathematical understanding of these structures will then be developed, focusingon the phenomenon of homoclinic snaking, around which much of our understanding of these structures is organized. The notions of pinning, self-pinning anddepinning will be described, and used to interpret both static and dynamic properties of these fascinating structures.