Preface

• Published in: Journal of physics. Conference series 2011-02, Vol.268 (1)
• Format: Article
• Language: English
• Subjects: Biological models (mathematics); Cultural capital; Differential equations; Dynamical systems; Economic models; Electrical engineering; Engineering; Fluid mechanics; Hysteresis models; Information systems; Interaction parameters; Nonlinear analysis; Nonlinear dynamics; Nonlinear phenomena; Physics; Relaxation oscillations; Semiconductor lasers; Singular perturbation; University colleges; Workshops
• ISSN: 1742-6588; 1742-6596
• DOI: 10.1088/1742-6596/268/1/011001

The International Workshop on Multi-Rate Processes and Hysteresis conference series focuses on singular perturbation problems and hysteresis as common strongly nonlinear phenomena occurring in mathematical, physical, economical, engineering and information systems. The term strongly nonlinear means, in particular, that linearization will not encapsulate the observed phenomena. Singular perturbation problems and hysteresis can be manifested at different stages of the same or similar processes. Furthermore, a number of fundamental hysteresis models can be considered as a limit of time relaxation processes, or admit an approximation by a differential equation, which is singular with respect to a particular parameter. However, interaction between researchers in the areas of systems with time relaxation and systems with hysteresis (and between the multi-rate and hysteresis research communities) has so far been limited, and there is little cross-fertilization of ideas. It is the aim of the conference series to fill this gap. The 5th International Workshop on Multi-Rate Processes and Hysteresis (MURPHYS 2010) was hosted by the Pollack Mihály Faculty of Engineering, University of Pécs, Hungary, from 31 May to 3 June 2010, on the occasion of Pécs being the Cultural Capital of Europe in 2010. The workshop was organized in cooperation with University College Cork, Ireland, which hosted all of the previous Workshops: International Workshop on Multi-rate Processes and Hysteresis (University College, Cork, Ireland, 31 March–5 April 2008). Proceedings are published in Journal of Physics: Conference Series volume 138. See http://euclid.ucc.ie/appliedmath/murphys2008/murphys2008.htm; International Workshop on Multi-rate Processes and Hysteresis (University College, Cork, Ireland, 3–8 April 2006). Proceedings are published in Journal of Physics: Conference Series volume 55. Further information is available at http://Euclid.ucc.ie/murphys2006.htm; International Workshop on Hysteresis and Multi-scale Asymptotic (University College, Cork, Ireland, 17–21 March 2004). Proceedings are published in Journal of Physics: Conference Series volume 22. Further details are available at http://Euclid.ucc.ie/hamsa2004.htm; International Workshop on Relaxation Oscillations and Hysteresis (University College, Cork, Ireland, 1–6 April 2002). The related collection of invited lectures was published as a volume Singular Perturbations and Hysteresis, SIAM, Philadelphia, 2005. International Works