Fields Institute Communications

Infinite Dimensional Dynamical Systems

Editors: Mallet-Paret, J., Wu, J., Yi, Y., Zhu, H. (Eds.)

  • ​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
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  • ISBN 978-1-4614-4522-7
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About this book

​This collection covers a wide range of topics of infinite dimensional dynamical systems generated by parabolic partial differential equations, hyperbolic partial differential equations, solitary equations, lattice differential equations, delay differential equations, and stochastic differential equations. Infinite dimensional dynamical systems are generated by evolutionary equations describing the evolutions 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 major sources of motivation and applications of new developments of nonlinear analysis and other mathematical theories. Theories of the infinite dimensional dynamical systems have also found more and more important applications in 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 the pioneering work and influence of Professor Sell in a few 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.​ 

Table of contents (19 chapters)

  • Persistence of Periodic Orbits for Perturbed Dissipative Dynamical Systems

    Hale, Jack K. (et al.)

    Pages 1-55

  • Spectral Theory for Forward Nonautonomous Parabolic Equations and Applications

    Mierczyński, Janusz (et al.)

    Pages 57-99

  • A Dynamical Systems Approach to Traveling Wave Solutions for Liquid/Vapor Phase Transition

    Fan, Haitao (et al.)

    Pages 101-117

  • Instability of Radially-Symmetric Spikes in Systems with a Conserved Quantity

    Pogan, Alin (et al.)

    Pages 119-140

  • Global Hopf Bifurcation Analysis of a Neuron Network Model with Time Delays

    Li, Michael Y. (et al.)

    Pages 141-168

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-1-4614-4523-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.00
price for USA
  • ISBN 978-1-4614-4522-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $149.00
price for USA
  • ISBN 978-1-4899-9993-1
  • 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
Infinite Dimensional Dynamical Systems
Editors
  • John Mallet-Paret
  • Jianhong Wu
  • Yingfei Yi
  • Huaiping Zhu
Series Title
Fields Institute Communications
Series Volume
64
Copyright
2013
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4614-4523-4
DOI
10.1007/978-1-4614-4523-4
Hardcover ISBN
978-1-4614-4522-7
Softcover ISBN
978-1-4899-9993-1
Series ISSN
1069-5265
Edition Number
1
Number of Pages
VIII, 496
Topics