SINGULAR PERTURBATIONS AND HYSTERESIS

In this collection of ten papers, which came from an April 2002 workshop at University College in Cork, contributors describe singular perturbations and hysteresis in theory and how they apply primarily mathematics and physics, but also show applications in economics. They introduce time relaxation and hysteresis, then cover frustration minimization, hysteresis and the El Farol Problem, hysteresis in singularly perturbed problems, combined asymptotic expansions, contrast structures of alternating type, multidimensional internal layers, critical cases of the geometry of singular perturbations, laser and combustion models, a multiscale analysis of pressure-driven flames, and split-hyperbolicity, hysteresis and Lang- Kobayashi equations. Each papers has its own bibliography and the editors provide a general index.