Skip to content
Register Sign in Wishlist

Numerical Bifurcation Analysis of Maps
From Theory to Software

$140.00 (C)

Part of Cambridge Monographs on Applied and Computational Mathematics

  • Date Published: May 2019
  • availability: In stock
  • format: Hardback
  • isbn: 9781108499675

$ 140.00 (C)
Hardback

Add to cart Add to wishlist

Other available formats:
eBook


Looking for an examination copy?

If you are interested in the title for your course we can consider offering an examination copy. To register your interest please contact collegesales@cambridge.org providing details of the course you are teaching.

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • This book combines a comprehensive state-of-the-art analysis of bifurcations of discrete-time dynamical systems with concrete instruction on implementations (and example applications) in the free MATLAB® software MatContM developed by the authors. While self-contained and suitable for independent study, the book is also written with users in mind and is an invaluable reference for practitioners. Part I focuses on theory, providing a systematic presentation of bifurcations of fixed points and cycles of finite-dimensional maps, up to and including cases with two control parameters. Several complementary methods, including Lyapunov exponents, invariant manifolds and homoclinic structures, and parts of chaos theory, are presented. Part II introduces MatContM through step-by-step tutorials on how to use the general numerical methods described in Part I for simple dynamical models defined by one- and two-dimensional maps. Further examples in Part III show how MatContM can be used to analyze more complicated models from modern engineering, ecology, and economics.

    • Provides state-of-the-art analysis of bifurcations of discrete-time dynamical systems
    • Theory is connected with practical applications, as well as step-by-step tutorials on how to analyze particular bifurcations using the free MATLAB® software MatContM
    • This book is an ideal reference volume for professionals searching for results for a particular bifurcation
    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: May 2019
    • format: Hardback
    • isbn: 9781108499675
    • length: 420 pages
    • dimensions: 235 x 157 x 23 mm
    • weight: 0.82kg
    • contains: 22 b/w illus. 136 colour illus. 16 tables
    • availability: In stock
  • Table of Contents

    Part I. Theory:
    1. Analytical methods
    2. One-parameter bifurcations of maps
    3. Two-parameter local bifurcations of maps
    4. Center-manifold reduction for local bifurcations
    Part II. Software:
    5. Numerical methods and algorithms
    6. Features and functionality of MatContM
    7. MatContM tutorials
    Part III. Applications:
    8. Examples
    References
    Index.

  • Authors

    Yuri A. Kuznetsov, Universiteit Utrecht, The Netherlands
    Yuri A. Kuznetsov is Associate Professor at Utrecht University and Professor of Numerical Bifurcation Methods at the University of Twente. He has made significant contributions to the theory of codimension two bifurcations of smooth ODEs and iterated maps. His recent work has focussed on efficient numerical continuation and normal form analysis of maps, ODEs and DDEs, and on applications of these methods in ecology, economics, engineering, and neuroscience. He is also the author of the widely-used text and reference Elements of Applied Bifurcation Theory, 3rd edition (2010).

    Hil G. E. Meijer, University of Twente, Enschede, The Netherlands
    Hil G. E. Meijer is Assistant Professor at the University of Twente, Enschede, The Netherlands. He has extensive experience in numerical bifurcation theory and interdisciplinary applications such as modeling Parkinson's disease and epilepsy. He is a co-supervisor of the MatCont software project and has given numerous workshops on its use.

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.
×