Skip to content
Register Sign in Wishlist
Singular Perturbation and Hysteresis

Singular Perturbation and Hysteresis

£27.99

A. Pokrovskii, V. Sobolev, R. Cross, M. Grinfeld, H. Lamba, A. Pittock, P. Krejí, E. Benoît, A. Fruchard, A. El Hamidi, A. Vasilieva, N. Nefedov, V. Sobolev, E. Shchepakina, V. Bykov, I. Goldfarb, V. Gol'dshtein, O. Rasskazov, R. Studdert
View all contributors
  • Date Published: June 2005
  • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • format: Paperback
  • isbn: 9780898715972

£ 27.99
Paperback

This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
Unavailable Add to wishlist

Looking for an inspection copy?

This title is not currently available on inspection

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • This book unifies many important recent developments in the analysis of singular perturbation and hysteresis phenomena in an accessible and comprehensive fashion. In April 2002 at University College Cork in Ireland, the editors conducted a workshop to provide a forum for experts to share their interests and knowledge. For this book, the editors have compiled research from those practitioners in areas such as reacting systems, semiconductor lasers, shock phenomena in economic modeling, and fluid mechanics, all with an emphasis on hysteresis and singular perturbations. A basic introduction to hysteresis and singular perturbation theory is included, with simple examples from both physics and mathematics. Later chapters address: applications of hysteresis to economics; various aspects of the asymptotic theory of singularly perturbed systems; typical problems of the asymptotic theory of contrast structures; and the geometrical approach to an investigation of models with singular perturbations and hysteresis.

    • Suitable book for applied mathematicians, engineers, and physicists curious about the important nonlinear phenomena of singular perturbations and hysteresis
    • Readers should have some acquaintance with asymptotic methods and modeling to find the material accessible
    • A useful and accessible introduction to techniques and the research literature that will also generate new ideas for researchers and attract new researchers into this vibrant and dynamic field
    Read more

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity

    ×

    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?

    ×

    Product details

    • Date Published: June 2005
    • format: Paperback
    • isbn: 9780898715972
    • length: 184 pages
    • dimensions: 234 x 165 x 18 mm
    • weight: 0.526kg
    • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • Table of Contents

    Preface
    1. A naïve view of time relaxation and hysteresis A. Pokrovskii and V. Sobolev
    2. Frustration minimization, hysteresis and the El Farol problem R. Cross, M. Grinfeld, H. Lamba and A. Pittock
    3. Hysteresis in singularly perturbed problems P. Krejí
    4. Combined asymptotic expansions E. Benoît, A. Fruchard and A. El Hamidi
    5. Contrast structures of alternating type A. Vasilieva
    6. Multi-dimensional internal layers N. Nefedov
    7. Geometry of singular perturbations: critical cases V. Sobolev
    8. Black swans and canards in laser and combustion models E. Shchepakina, V. Sobolev
    9. Multi-scale analysis of pressure driven flames V. Bykov, I. Goldfarb and V. Gol'dshtein
    10. Split-hyperbolicity, hysteresis and Lang-Kobayashi equations A. Pokrovskii, O. Rasskazov and R. Studdert
    Index.

  • Editors

    Michael P. Mortell, University College Cork

    Robert E. O'Malley, University of Washington

    Authors

    Alexei Pokrovskii, University College Cork

    Vladimir Sobolev, Samara State University, Russia

    Contributors

    A. Pokrovskii, V. Sobolev, R. Cross, M. Grinfeld, H. Lamba, A. Pittock, P. Krejí, E. Benoît, A. Fruchard, A. El Hamidi, A. Vasilieva, N. Nefedov, V. Sobolev, E. Shchepakina, V. Bykov, I. Goldfarb, V. Gol'dshtein, O. Rasskazov, R. Studdert

Sign In

Please sign in to access your account

Cancel

Not already registered? Create an account now. ×

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.

Cancel

Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

×
Please fill in the required fields in your feedback submission.
×