Mathematical Biosciences Subseries

Nonautonomous Dynamical Systems in the Life Sciences

Editors: Kloeden, Peter, Pötzsche, Christian (Eds.)

  • Overview of recent developments in the theory of nonautonomous dynamical systems
  • Examples of concepts and techniques in the context of simple models from the life sciences
  • Representative collection of nonautonomous dynamical systems in the life sciences
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  • ISBN 978-3-319-03080-7
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Softcover $89.99
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  • ISBN 978-3-319-03079-1
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About this book

Nonautonomous dynamics describes the qualitative behavior of evolutionary differential and difference equations, whose right-hand side is explicitly time dependent. Over recent years, the theory of such systems has developed into a highly active field related to, yet recognizably distinct from that of classical autonomous dynamical systems. This development was motivated by problems of applied mathematics, in particular in the life sciences where genuinely nonautonomous systems abound. The purpose of this monograph is to indicate through selected, representative examples how often nonautonomous systems occur in the life sciences and to outline the new concepts and tools from the theory of nonautonomous dynamical systems that are now available for their investigation.

Reviews

“The book by Peter Kloeden and Christian Pötzsche meets an important need by addressing a topical and very general problem. … topics nicely illustrate the wide range of problems in the life sciences where nonautonomous dynamics can be important and, in many cases, is essential for an understanding of observed phenomena. The editors are to be commended for pulling together such a timely and interesting volume.” (Peter V. E. McClintock, Contemporary Physics, November, 2014)


Table of contents (9 chapters)

  • Nonautonomous Dynamical Systems in the Life Sciences

    Kloeden, Peter E. (et al.)

    Pages 3-39

  • Random Dynamical Systems with Inputs

    Freitas, Michael Marcondes (et al.)

    Pages 41-87

  • Canard Theory and Excitability

    Wechselberger, Martin (et al.)

    Pages 89-132

  • Stimulus-Response Reliability of Biological Networks

    Lin, Kevin K.

    Pages 135-161

  • Coupled Nonautonomous Oscillators

    Clemson, Philip T. (et al.)

    Pages 163-197

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-3-319-03080-7
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $89.99
price for USA
  • ISBN 978-3-319-03079-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Nonautonomous Dynamical Systems in the Life Sciences
Editors
  • Peter Kloeden
  • Christian Pötzsche
Series Title
Mathematical Biosciences Subseries
Series Volume
2102
Copyright
2013
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-03080-7
DOI
10.1007/978-3-319-03080-7
Softcover ISBN
978-3-319-03079-1
Edition Number
1
Number of Pages
XVIII, 314
Number of Illustrations and Tables
36 b/w illustrations, 31 illustrations in colour
Topics