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Applied Mathematical Sciences

Cell-to-Cell Mapping

A Method of Global Analysis for Nonlinear Systems

Authors: Hsu, C.S.

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About this book

For many years, I have been interested in global analysis of nonlinear systems. The original interest stemmed from the study of snap-through stability and jump phenomena in structures. For systems of this kind, where there exist multiple stable equilibrium states or periodic motions, it is important to examine the domains of attraction of these responses in the state space. It was through work in this direction that the cell-to-cell mapping methods were introduced. These methods have received considerable development in the last few years, and have also been applied to some concrete problems. The results look very encouraging and promising. However, up to now, the effort of developing these methods has been by a very small number of people. There was, therefore, a suggestion that the published material, scattered now in various journal articles, could perhaps be pulled together into book form, thus making it more readily available to the general audience in the field of nonlinear oscillations and nonlinear dynamical systems. Conceivably, this might facilitate getting more people interested in working on this topic. On the other hand, there is always a question as to whether a topic (a) holds enough promise for the future, and (b) has gained enough maturity to be put into book form. With regard to (a), only the future will tell. With regard to (b), I believe that, from the point of view of both foundation and methodology, the methods are far from mature.

Table of contents (14 chapters)

Buy this book

eBook $119.00
price for USA in USD (gross)
  • ISBN 978-1-4757-3892-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.99
price for USA in USD
  • ISBN 978-0-387-96520-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $159.99
price for USA in USD
  • ISBN 978-1-4419-3083-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Cell-to-Cell Mapping
Book Subtitle
A Method of Global Analysis for Nonlinear Systems
Authors
Series Title
Applied Mathematical Sciences
Series Volume
64
Copyright
1987
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4757-3892-6
DOI
10.1007/978-1-4757-3892-6
Hardcover ISBN
978-0-387-96520-8
Softcover ISBN
978-1-4419-3083-5
Series ISSN
0066-5452
Edition Number
1
Number of Pages
XII, 354
Topics