International Workshop on Multi-Rate processes and Hysterisis

• Published in: Journal of physics. Conference series 2006-12, Vol.55 (1)
• Main Authors: Mortell, Michael P, O'Malley, Robert E, Pokrovskii, Alexei V, Sobolev, Vladimir A
• Format: Article
• Language: English
• Subjects: Differential equations; Dynamical systems; Economic analysis; Economic models; Fluid mechanics; Hysteresis models; Nonlinear analysis; Nonlinear dynamics; Nonlinear phenomena; Physics; Relaxation oscillations; Semiconductor lasers; Singular perturbation; University colleges; Workshops
• ISSN: 1742-6596; 1742-6588; 1742-6596
• DOI: 10.1088/1742-6596/55/1/E01

We are interested in singular perturbation problems and hysteresis as common strongly nonlinear phenomena that occur in many industrial, physical and economic systems. The wording `strongly nonlinear' means that linearization will not encapsulate the observed phenomena. Often these two types of phenomena are manifested for different stages of the same or similar processes. A number of fundamental hysteresis models can be considered as limit cases of time relaxation processes, or admit an approximation by a differential equation which is singular with respect to a particular parameter. However, the amount of interaction between practitioners of theories of systems with time relaxation and systems with hysteresis (and between the `relaxation' and `hysteresis' research communities) is still low. In recent years Ireland has become a home for a series of prestigious International Workshops in Singular Perturbations and Hysteresis: International Workshop on Hysteresis and Multi-scale Asymptotics (University College Cork, Ireland, 17–21 March 2004). Proceedings are published in Journal of Physics: Conference Series 22. 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 Workshop on Geometrical Methods of Nonlinear Analysis and Semiconductor Laser Dynamics (University College Cork, Ireland, 5–5 April 2001). A collection of invited papers has been published as a special issue of Proceedings of the Russian Academy of Natural Sciences: Nonlinear dynamics of laser and reacting systems. Among the aims of these workshops were to bring together leading experts in time relaxation and hysteresis phenomena in applied problems; to discuss important problems in areas such as reacting systems, semiconductor lasers, shock phenomena in economic modelling, fluid mechanics, etc with an emphasis on hysteresis and singular perturbations; to learn and to share modern techniques in areas of common interest. The `International Workshop on Multi-Rate Processes and Hysteresis' (University College Cork, Ireland, April 3–8, 2006) brought together more than 50 scientists, actively researching in the areas of dynamical systems with hysteresis and singular perturbations, to analyze these phenomena that occur in many industrial, physical and economic systems. The Workshop has been sp