Interdisciplinary Conference on Multiple Scale Systems,
Systems with Hysteresis

We are pleased to announce the multidisciplinary international workshop MURPHYS 2022 organized by the Mathematical Institute of the Silesian University in Opava.

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).

Our invitation for contributing an invited talk was accepted by professors:

Andreas Amann, PUCC Cork, Ireland
„The Devil's Staircase in the Discrete Preisach Memory Model“

Martin Brokate, Technical University of Munich, Germany
„Derivatives of hysteresis operators“

Giovanni Colombo, University of Padua, Italy
„On the optimal control of Moreau's sweeping process“

Daniele Davino, UniversitĂ  degli studi del Sannio, Benevento, Italy
„Self-similarity and feedback in magnetostrictive devices: the force of modeling"

Dorothee Knees, Universität Kassel, Germany
„Optimal control of rate independent systems“

Klaus Kuhnen, Bosch, Germany
"Advanced magnetic constitutive mappings in electromagnetic field simulations"

Vincenzo Recupero, Polytechnic of Turin, Italy
„Some results on the play operator and sweeping processes"

Dmitrii Rachinskii, The University of Texas at Dallas, USA
„SIR model with transmission rate modeled by the non-ideal relay and the Preisach operator“


Main topics of MURPHYS 2022 include (but are not limited to):

  • hysteresis phenomena
  • multiple scale systems
  • nonlinear systems in general
  • self-organizing systems
  • rate-independent systems and energetic solutions
  • spatially discrete systems
  • singular perturbations
  • switched and multistable systems
  • phase transitions
  • periodic orbits and bifurcation theory
  • piecewise differential equations
  • sweeping processes
  • applications of the above mentioned to physical, chemical, biological and economical sciences, engineering and medicine
  • homogenization

New areas of application are particularly welcome.


Jana Kopfová, Silesian University in Opava, Czech Republic
Petra Nábělková, Silesian University in Opava, Czech Republic
Pavel KrejÄŤĂ­, Czech Technical University in Prague, Czech Republic

Scientific Program Committee

Vladimir Sobolev, Samara University, Russia
Elena Shchepakina, Samara University, Russia
Michael P. Mortell, University College Cork, Ireland
Isaak Mayergoyz, University of Maryland, USA
Michela Eleuteri, University of Modena and Reggion Emilia, Italy
Augusto Visintin, University of Trento, Italy
Alexander Mielke, Weierstrass Institue, Germany
Leonid Kalachev, University of Montana, USA
Rod Cross, University of Strathclyde, UK
Amalia Ivanyi, University of Pecs, Hungary
Pavel KrejÄŤĂ­, Czech Technical University in Prague, Czech Republic
Dmitrii Rachinskii, The University of Texas at Dallas, USA

If you have any questions please do not hesitate to contact us by the following e-mail: