- Multi-Rate Processes and Hysteresis
HSFS - Hysteresis and Slow-Fast Systems

About the School

MURPHYS - MUlti-Rate Processes and HYSteresis - is a series of biennial conferences with focus on multiple scales, singular perturbations, phase transitions and hysteresis phenomena that can occur in many situations and settings (for instance in mathematics, physics, economics, engineering and so on).

HSFS - Hysteresis and Slow-Fast Systems refers to a series of workshops organized in the framework of the Collaborative Research Center 910 (Berlin), with the intention to focus on reaction-diffusion equations with hysteresis systems with different temporal and spatial scales and applications to self-organized nonlinear systems.

In April 2014 the first joint international multidisciplinary workshop MURPHYS-HSFS-2014 took place in Berlin (co-chair persons: Olaf Klein (Germany), Mihai Dimian (Romania), Pavel Gurevich (Germany), Dorothee Knees (Germany), Dmitrii Rachinskii (USA & Ireland), Sergey Tikhomirov (Germany)). The intent was to bring together experts and scientists actively researching in the area of mathematical theory and applications to systems with hysteresis and multiple scales systems.

Our idea is to complete this picture by organizing a summer school in the related topic, with particular attention to students and non-experts in the field, with the intent to attract and introduce them in the fields of hysteresis and multiple scale systems. This idea has been motivated by the great success of the Spring School on rate-independent evolutions and hysteresis modelling, held in May 2013 in Milano (a first special issue on this topic is on line on the journal Discrete and Continuous Dynamical Systems - Series S, vol. 8, N. 4 (2015)). The idea would be to have at alternating years both the MURPHYS-HSFS events: summer schools and international workshops, in order to present an update picture of the current research directions.