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. Annotation ©2005 Book News, Inc., Portland, OR

Michael P. Mortell is President Emeritus and Professor of Applied Mathematics at University College Cork, Ireland.
Robert E. O Malley is Professor of Applied Mathematics at the University of Washington, Seattle, USA.
Alexei Pokrovskii is Professor of Applied Mathematics at University College Cork, Ireland.
Vladimir Sobolev is Professor of Differential Equations and Control Theory at Samara State University, Russia.