The workshop, devoted to mathematical theory and applications of the multiple scale systems, systems with hysteresis and trends in the dynamical systems will take place near Opava, Czech Republic, May 29th to June 3rd, 2022. MURPHYS 2022 (Multi-Rate Processes and Hysteresis) is the 10th workshop that continues a series of biennial meetings focused on multiple scale phenomena, singular perturbations, phase transitions, hysteresis phenomena occurring in mathematical, physical, economical, engineering and information systems. The previous workshops were held in Cork, Ireland (2002, 2004, 2006, 2008); Pecs, Hungary (2010); Suceava, Romania (2012), Berlin, Germany (2014) and Barcelona, Spain (2016, 2018).