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  • Conference proceedings
  • © 2019

Extended Abstracts Spring 2018

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

Birkhäuser

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

Part of the book sub series: Research Perspectives CRM Barcelona (RPCRMB)

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Table of contents (44 papers)

  1. Front Matter

    Pages i-x
  2. Analysis of Temporal Dissipative Solitons in a Delayed Model of a Ring Semiconductor Laser

    • Alexander Pimenov, Andrei G. Vladimirov, Shalva Amiranashvili
    Pages 7-12
  3. A Discrete Variant Space Model of Cancer Evolution

    • Andrei Korobeinikov, Stefano Pedarra
    Pages 19-25
  4. Mathematical Modelling of HIV Within-Host Evolution

    • Anna Maria Riera-Escandell, Andrei Korobeinikov
    Pages 27-34
  5. Optimal Control for Anticancer Therapy

    • Evgenii N. Khailov, Anna D. Klimenkova, Andrei Korobeinikov
    Pages 35-43
  6. Resonance: The Effect of Nonlinearity, Geometry and Frequency Dispersion

    • Michael P. Mortell, Brian R. Seymour
    Pages 57-62
  7. A Mathematical Model of Cancer Evolution

    • David Moreno Martos, Andrei Korobeinikov
    Pages 81-85
  8. Resonance of Isochronous Oscillators

    • David Rojas
    Pages 87-91
  9. Modeling of N-Methyl-D-Aspartate Receptors

    • Denis Shchepakin, Leonid Kalachev, Michael Kavanaugh
    Pages 93-98
  10. Global Stability Conditions of the Disease-Free Equilibrium for a Lymphatic Filariasis Model

    • Egberanmwen Barry Iyare, Daniel Okuonghae, Francis E. U. Osagiede
    Pages 107-111
  11. A New Approach to Canards Chase in 3D

    • Elena Shchepakina
    Pages 119-123

About this book

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 researcharticles 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.

Editors and Affiliations

  • Centre de Recerca Matemàtica, Universitat Autònoma de Barcelona, Barcelona, Spain

    Andrei Korobeinikov, Josep Sardanyés

  • Facultat de Ciències, Universitat Autònoma de Barcelona, Barcelona, Spain

    Magdalena Caubergh

  • Departament de Matemàtiques, Universitat Politècnica de Catalunya, Barcelona, Spain

    Tomás Lázaro

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access