International Workshop on Hysteresis &Multi-scale Asymptotics

Abstract

An International Workshop on Hysteresis &Multi-scale Asymptotics was held at University College Cork,Ireland on March 17–21, 2004. It brought together about 40 activescientists in the areas of dynamical systems with hysteresis andsingular perturbations to analyse these phenomena which occur inmany industrial, physical and economic systems. The scientificprogramme of the Workshop can be downloaded from the homepage http://euclid.ucc.ie/hamsa2004.htm.This collection of invited papers is based on the programme of the workshop whose main goal was to analyse and todemonstrate an interaction between theories of systems with multiple scales and systems with hysteresis (and betweenthe ‘multi-scale’ and ‘hysteresis’ research communities) as far as possible. To fully understand the paths fromsingular perturbations to hysteresis and from hysteresis to singular perturbations will continue to involve much workand intense interdisciplinary interactions among experts in the two areas.We mention also two previous workshops: International Workshop on Relaxation Oscillations &Hysteresis, University College Cork, Ireland, April 1–6, 2002.The related collection, edited by us, was published as ‘Singular Perturbations and Hysteresis’,SIAM, Philadelphia, 2005. http://www.ucc.ie/ucc/depts/physics/ins/roh2002.htm International Workshop on Geometrical Methods of NonlinearAnalysis and Semiconductor Laser Dynamics, University CollegeCork, Ireland, April 5–6, 2001. A collection of invited papers hasbeen published as a special issue of Proceedings of the RussianAcademy of Natural Sciences: Nonlinear dynamics of laser andreacting systems, Vol. 5, 2001, No 1 and 2 (edited by VladimirGol'dstein, Alexei Pokrovskii and Vladimir Sobolev), and is alsoavailable online at http://euclid.ucc.ie/appliedmath/gmna2001/ProcGMNA2001Full.pdf Finally, we wish to gratefully acknowledge the supportof the School of Mathematical Sciences and the Boole Centre forResearch in Informatics, University College Cork.