Extended Abstracts Summer 2016

Slow-Fast Systems and Hysteresis: Theory and Applications

  • Andrei Korobeinikov
Conference proceedings

Part of the Trends in Mathematics book series (TM, volume 10)

Also part of the Research Perspectives CRM Barcelona book sub series (RPCRMB, volume 10)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Vincent Cregan, William T. Lee
    Pages 1-6
  3. Armengol Gasull, Héctor Giacomini, Maite Grau
    Pages 7-11
  4. Edward Hooton, Pavel Kravetc, Dmitrii Rachinskii
    Pages 13-18
  5. Andrei Korobeinikov, Silvia Pagliarini
    Pages 23-27
  6. Michael P. Mortell, Brian R. Seymour
    Pages 29-34
  7. Tim G. Myers, Sarah L. Mitchell, Paul Slatter
    Pages 35-40
  8. Mikhail Osintcev, Vladimir A. Sobolev
    Pages 47-52
  9. Silvia Pagliarini, Andrei Korobeinikov
    Pages 53-57
  10. Luís Rios, Rod Cross, Dmitrii Rachinskii
    Pages 59-63
  11. Oyuna Rybdylova, Sergei S. Sazhin
    Pages 65-70
  12. Elena Shchepakina, Natalia Firstova
    Pages 77-81
  13. Paul A. Valle, Konstantin E. Starkov, Andrei Korobeinikov
    Pages 89-93
  14. Sergey A. Yudaev, Dmitrii Rachinskii, Vladimir A. Sobolev
    Pages 95-99

About these proceedings


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.


hysteresis slow-fast systems singularly perturbed systems multiscale phenomena bistability

Editors and affiliations

  • Andrei Korobeinikov
    • 1
  1. 1.Centre de Recerca MatemàticaUniversitat Autònoma de BarcelonaBarcelonaSpain

Bibliographic information