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Science Forum Index » Nonlinear Science Forum » History of Chaos Theory and Nonlinear Dynamics
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| cwkulp |
 Posted: Sat Mar 24, 2007 8:30 am |
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Hello:
There is a student at my university who is interested in writing an
honor's thesis on the history of chaos theory and its impact science.
She is looking for books and articles to begin her research. I have
recommended Gleick's Chaos to her as a starting point. I have a few
other books in mind, but I was wondering if anyone on this forum has
any suggestions on good articles/books on the history and impact of
chaos theory? Please note that this student is not a science or math
major. Hence, she would want to steer away from materials with heavy
amounts of mathematics.
Thanks for your suggestions.
Chris Kulp |
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| rob.clewley@gmail.com |
| Posted: Sun Mar 25, 2007 11:12 am |
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Chris,
Your student might like to look at the early sections of "Ninety plus
thirty years of nonlinear dynamics: less is more and more is
different," by Philip Holmes, International Journal of Bifurcation and
Chaos, Vol. 15, No. 9 (2005) pp2703-2716. Later sections are more
mathematically detailed.
Abstract:
I review the early (1885-1975) and more recent history of dynamical
systems theory, identifying
key principles and themes, including those of dimension reduction,
normal form transformation
and unfolding of degenerate cases. I end by briefly noting recent
extensions and applications in
nonlinear fluid and solid mechanics, with a nod toward mathematical
biology. I argue throughout
that this essentially mathematical theory was largely motivated by
nonlinear scientific problems,
and that after a long gestation it is propagating throughout the
sciences and technology.
-Rob |
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| cwkulp |
| Posted: Sun Mar 25, 2007 1:17 pm |
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Thanks! We'll check it out.
-chris |
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