Extended Abstracts Spring 2018

Singularly Perturbed Systems, Multiscale Phenomena and Hysteresis: Theory and Applications

  • Andrei Korobeinikov
  • Magdalena Caubergh
  • Tomás Lázaro
  • Josep Sardanyés
Conference proceedings

Part of the Trends in Mathematics book series (TM, volume 11)

Also part of the Research Perspectives CRM Barcelona book sub series (RPCRMB, volume 11)

Table of contents

  1. Front Matter
    Pages i-x
  2. Alexander Pimenov, Andrei G. Vladimirov, Shalva Amiranashvili
    Pages 7-12
  3. Andrei Korobeinikov, Stefano Pedarra
    Pages 19-25
  4. Anna Maria Riera-Escandell, Andrei Korobeinikov
    Pages 27-34
  5. Evgenii N. Khailov, Anna D. Klimenkova, Andrei Korobeinikov
    Pages 35-43
  6. Michael P. Mortell, Brian R. Seymour
    Pages 57-62
  7. David Moreno Martos, Andrei Korobeinikov
    Pages 81-85
  8. David Rojas
    Pages 87-91
  9. Denis Shchepakin, Leonid Kalachev, Michael Kavanaugh
    Pages 93-98
  10. Egberanmwen Barry Iyare, Daniel Okuonghae, Francis E. U. Osagiede
    Pages 107-111
  11. Elena Shchepakina
    Pages 119-123
  12. Michela Eleuteri, Erica Ipocoana, Jana Kopfová, Pavel Krejčí
    Pages 131-135
  13. Rubén Berenguel, Ernest Fontich
    Pages 137-143
  14. F. Font, E. Moreno, S. Alonso
    Pages 145-149
  15. J.-P. Françoise, Hongjun Ji
    Pages 151-154
  16. Jean-Marc Ginoux, Jaume Llibre, Kiyoyuki Tchizawa
    Pages 169-175
  17. Daniel Franco, Juan Perán, Hartmut Logemann, Juan Segura
    Pages 177-182
  18. Karel Kenens, Peter De Maesschalck
    Pages 183-192
  19. Kiyoyuki Tchizawa
    Pages 193-199
  20. Erich Bauer, Victor A. Kovtunenko, Pavel Krejčí, Nepomuk Krenn, Lenka Siváková, Anna Zubkova
    Pages 201-209
  21. Denis Shchepakin, Leonid Kalachev, Michael Kavanaugh
    Pages 211-217
  22. Mikhail E. Semenov, Peter A. Meleshenko, Igor N. Ishchuk, Valeriy N. Tyapkin, Zainib Hatif Abbas
    Pages 245-251
  23. Mikhail E. Semenov, Peter A. Meleshenko, Igor N. Ishchuk, Dmitry D. Dmitriev, Sergey V. Borzunov, Nataliya N. Nekrasova
    Pages 253-258
  24. Natalia Firstova, Elena Shchepakina
    Pages 259-263
  25. Peter A. Meleshenko, Andrey M. Semenov, Andrey I. Barsukov, Leonid V. Stenyukhin, Valentina P. Kuznetsova
    Pages 277-282
  26. Sergey Tikhomirov
    Pages 283-287
  27. Stefano Pedarra, Andrei Korobeinikov
    Pages 289-294
  28. Vladimir Sobolev
    Pages 295-299

About these proceedings


This volume contains extended abstracts outlining selected presentations delivered by participants of the joint international multidisciplinary workshop MURPHYS-HSFS-2018 (MUltiRate Processes and HYSteresis; Hysteresis and Slow-Fast Systems), dedicated to the mathematical theory and applications of the multiple scale systems, the systems with hysteresis and general trends in the dynamical systems theory. The workshop was jointly organized by the Centre de Recerca Matemàtica (CRM), Barcelona, and the Collaborative Research Center 910, Berlin, and held at the Centre de Recerca Matemàtica in Bellaterra, Barcelona, from May 28th to June 1st, 2018. This was the ninth workshop continuing a series of biennial meetings started in Ireland in 2002, and the second workshop of this series held at the CRM. Earlier editions of the workshops in this series were held in Cork, Pechs, Suceava, Lutherstadt and Berlin.   

The collection includes brief research articles reporting new results, descriptions of preliminary work, open problems, and the outcome of work in groups initiated during the workshop. Topics include analysis of hysteresis phenomena, multiple scale systems, self-organizing nonlinear systems, singular perturbations and critical phenomena, as well as applications of the hysteresis and the theory of singularly perturbed systems to fluid dynamics, chemical kinetics, cancer modeling, population modeling, mathematical economics, and control.

The book is intended 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
  • Magdalena Caubergh
    • 2
  • Tomás Lázaro
    • 3
  • Josep Sardanyés
    • 4
  1. 1.Centre de Recerca MatemàticaUniversitat Autònoma de BarcelonaBarcelonaSpain
  2. 2.Facultat de CiènciesUniversitat Autònoma de BarcelonaBarcelonaSpain
  3. 3.Departament de MatemàtiquesUniversitat Politècnica de CatalunyaBarcelonaSpain
  4. 4.Centre de Recerca MatemàticaUniversitat Autònoma de BarcelonaBarcelonaSpain

Bibliographic information

  • DOI
  • Copyright Information Springer Nature Switzerland AG 2019
  • Publisher Name Birkhäuser, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-030-25260-1
  • Online ISBN 978-3-030-25261-8
  • Series Print ISSN 2297-0215
  • Series Online ISSN 2297-024X
  • Buy this book on publisher's site