We are pleased to announce the joint international multidisciplinary workshop MURPHYS-FM-2020 organized by the Mathematical Institute of the Silesian University in Opava in cooperation with the Institute of Mathematics of the Czech Academy of Sciences. The workshop, devoted to mathematical theory and applications of the multiple scale systems, systems with hysteresis, trends in the dynamical systems theory and new trends in fluid mechanics, will take place at the Hotel Belaria Resort in Hradec nad Moravicí, a beautiful small town 10 km south from Opava, Czech Republic, May 25th to May 29th, 2020.