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  • © 2013

Infinite Dimensional Dynamical Systems

Editors:

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  • Includes the last paper co-authored by legendary dynamist Jack Hale, and honors legendary scientist George Sell, who has contributed to the subject for several decades

  • Discusses cutting-edge developments, contributed by some of the most distinguished names in the subject area

  • Presents a comprehensive view of the topic, with a wide range of subjects

  • Includes supplementary material: sn.pub/extras

Part of the book series: Fields Institute Communications (FIC, volume 64)

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  • ISBN: 978-1-4614-4523-4
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Table of contents (20 chapters)

  1. Front Matter

    Pages i-viii
  2. Differential Equations with Random Delay

    • S. Siegmund, T. S. Doan
    Pages 279-303
  3. Anomalous Diffusion in Polymers: Long-Time Behaviour

    • Dmitry A. Vorotnikov
    Pages 481-496

About this book

This collection covers a wide range of topics of infinite dimensional dynamical systems generated by parabolic and hyperbolic partial differential equations, solitary equations, lattice differential equations, delay differential equations, and stochastic differential equations.

Infinite dimensional dynamical systems are generated by equations describing the evolution in time of systems whose status must be depicted in infinite dimensional phase spaces. Studying the long-term behaviors of such systems is important in our understanding of their spatiotemporal pattern formation and global continuation, and has been among the major sources of motivation and applications of new developments in nonlinear analysis and other mathematical theories. The theory of infinite dimensional dynamical systems has also increasingly important applications in the physical, chemical and life sciences.

This book collects 19 papers from 48 invited lecturers to the International Conference on Infinite Dimensional Dynamical Systems held at York University, Toronto, in September of 2008. As the conference was dedicated to Professor George Sell from University of Minnesota on the occasion of his 70th birthday, this collection reflects his pioneering work and influence in core areas of dynamical systems, including non-autonomous dynamical systems, skew-product flows, invariant manifolds theory, infinite dimensional dynamical systems, approximation dynamics, and fluid flows.

Keywords

  • hyperbolic partial differential equations
  • infinite dimensional dynamical systems
  • non-autonomous dynamical systems
  • parabolic partial differential equations
  • skew-product flows
  • stochastic differential equations
  • partial differential equations
  • ordinary differential equations

Editors and Affiliations

  • Division of Applied Mathematics, Brown University, Providence, USA

    John Mallet-Paret

  • Department of Mathematics and Statistics, York University, Toronto, Canada

    Jianhong Wu, Huaiping Zhu

  • Georgia Institute of Technology, School of Mathematics, Atlanta, USA

    Yingfei Yi

Bibliographic Information

  • Book Title: Infinite Dimensional Dynamical Systems

  • Editors: John Mallet-Paret, Jianhong Wu, Yingfei Yi, Huaiping Zhu

  • Series Title: Fields Institute Communications

  • DOI: https://doi.org/10.1007/978-1-4614-4523-4

  • Publisher: Springer New York, NY

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Science+Business Media New York 2013

  • Hardcover ISBN: 978-1-4614-4522-7

  • Softcover ISBN: 978-1-4899-9993-1

  • eBook ISBN: 978-1-4614-4523-4

  • Series ISSN: 1069-5265

  • Series E-ISSN: 2194-1564

  • Edition Number: 1

  • Number of Pages: VIII, 496

  • Number of Illustrations: 16 b/w illustrations

  • Topics: Dynamical Systems, Differential Equations

Buying options

eBook
USD 109.00
Price excludes VAT (USA)
  • ISBN: 978-1-4614-4523-4
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book
USD 139.99
Price excludes VAT (USA)
Hardcover Book
USD 139.99
Price excludes VAT (USA)