This volume contains extended abstracts outlining selected presentations given by participants
of the joint international multidisciplinary workshop MURPHYS-HSFS-2016 (MUltiRate Processes
and HYSteresis Hysteresis and Slow-Fast Systems) which was dedicated to the mathematical
theory and applications of multiple scale systems and systems with hysteresis and held at the
Centre de Recerca Matemàtica (CRM) in Barcelona from June 13th to 17th 2016. The collection
includes brief research articles on new results preliminary work open problems and the
outcomes of group work initiated during the workshop. The book addresses multiple scale
phenomena singular perturbations phase transitions and hysteresis phenomena occurring in
mathematical physical economic engineering and information systems. Its scope includes both
new results in the theory of hysteresis singularly perturbed systems and dynamical systems in
general and applications to the physical chemical biological microbiological economic and
engineering sciences such as: elasto-plasticity and mechanical structures damage processes
magnetic materials photonics and optoelectronics energy storage systems hydrology biology
semiconductor lasers and shock phenomena in economic modeling. Given its breadth of coverage
the book offers a valuable resource for established researchers as well as for PhD and
postdoctoral students who want to learn more about the latest advances in these highly active
research areas.
