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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."
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