Bifurcations

Sights, Sounds, and Mathematics

Editors: Matsumoto, T., Komuro, M., Kokubu, H., Tokunaga, R. (Eds.)

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About this book

Bifurcation originally meant "splitting into two parts. " Namely, a system under­ goes a bifurcation when there is a qualitative change in the behavior of the sys­ tem. Bifurcation in the context of dynamical systems, where the time evolution of systems are involved, has been the subject of research for many scientists and engineers for the past hundred years simply because bifurcations are interesting. A very good way of understanding bifurcations would be to see them first and study theories second. Another way would be to first comprehend the basic concepts and theories and then see what they look like. In any event, it is best to both observe experiments and understand the theories of bifurcations. This book attempts to provide a general audience with both avenues toward understanding bifurcations. Specifically, (1) A variety of concrete experimental results obtained from electronic circuits are given in Chapter 1. All the circuits are very simple, which is crucial in any experiment. The circuits, however, should not be too simple, otherwise nothing interesting can happen. Albert Einstein once said "as simple as pos­ sible, but no more" . One of the major reasons for the circuits discussed being simple is due to their piecewise-linear characteristics. Namely, the voltage­ current relationships are composed of several line segments which are easy to build. Piecewise-linearity also simplifies rigorous analysis in a drastic man­ ner. (2) The piecewise-linearity of the circuits has far reaching consequences.

Table of contents (3 chapters)

Table of contents (3 chapters)

Buy this book

eBook $84.99
price for USA in USD (gross)
  • ISBN 978-4-431-68243-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $109.99
price for USA in USD
  • ISBN 978-4-431-68245-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Bifurcations
Book Subtitle
Sights, Sounds, and Mathematics
Editors
  • Takashi Matsumoto
  • Motomasa Komuro
  • Hiroshi Kokubu
  • Ryuji Tokunaga
Copyright
1993
Publisher
Springer Japan
Copyright Holder
Springer-Verlag Tokyo
eBook ISBN
978-4-431-68243-1
DOI
10.1007/978-4-431-68243-1
Softcover ISBN
978-4-431-68245-5
Edition Number
1
Number of Pages
XVI, 468
Topics