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and Biological Synchronization
A subtle mathematical thread
connects clocks, ambling elephants,
brain rhythms and the onset of chaos
STEVEN H. STROGATZ and IAN STEWART
work in the middle ground between
pure and applied mathematics, studying
such subjects as chaos and biological oscillators.
Strogatz is associate professor
of applied mathematics at the Massachusetts
Institute of Technology. He earned
his doctorate at Harvard University with
a thesis on mathematical models of human
sleep-wake cycles and received his
bachelorÕs degree from Princeton University.
Stewart is professor of mathematics
and director of the Interdisciplinary Mathematical
Research Programme at the University
of Warwick in England. He has
published more than 60 books, including
three mathematical comic books in
French, and writes the bimonthly ÒMathematical
RecreationsÓ column for Scientific
American.
FURTHER READING
THE TIMING OF BIOLOGICAL CLOCKS.
Arthur T. Winfree. Scientific American
Library, 1987.
FROM CLOCKS TO CHAOS: THE RHYTHMS
OF LIFE. Leon Glass and Michael C.
Mackey. Princeton University Press,
1988.
SYNCHRONIZATION OF PULSE-COUPLED
BIOLOGICAL OSCILLATORS. Renato E.
Mirollo and Steven H. Strogatz in SIAM
Journal on Applied Mathematics, Vol.
50, No. 6, pages 1645Ð1662; December
1990.
COUPLED NONLINEAR OSCILLATORS BELOW
THE SYNCHRONIZATION THRESHOLD:
RELAXATION BY GENERALIZED
LANDAU DAMPING. Steven H. Strogatz,
Renato E. Mirollo and Paul C. Matthews
in Physical Review Letters, Vol. 68, No.
18, pages 2730Ð2733; May 4, 1992.
COUPLED NONLINEAR OSCILLATORS AND
THE SYMMETRIES OF ANIMAL GAITS.
J. J. Collins and Ian Stewart in Journal
of Nonlinear Science, Vol 3, No. 3,
pages 349Ð392; July 1993
http://www.slingfile.com/file/25645-3988262082.html
http://www.slingfile.com/file/25645-3988262082.html
[URL=http://www.slingfile.com/file/25645-3988262082.html]
SCIENTIFIC_AMERICAN___19912.PDF (6.84 MB)[/URL]
<a href="http://www.slingfile.com/file/
25645-3988262082.html">SCIENTIFIC_AMERICAN___19912.PDF (6.84 MB)</a>
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stran...@gmail.com
> [URL=http://www.slingfile.com/file/25645-3988262082.html]
> SCIENTIFIC_AMERICAN___19912.PDF (6.84 MB)[/URL]
> <a href="http://www.slingfile.com/file/
> 25645-3988262082.html">SCIENTIFIC_AMERICAN___19912.PDF (6.84 MB)</a>
>
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Electronic Fireflies page 127 = 1977= entire second world war 3 plan
http://groups.google.com/group/soc.culture.usa/browse_thread/thread/a3aa2f8f0164b2be?hl=en#
http://groups.google.com/group/soc.culture.scientists/browse_thread/thread/a5fd83f749fdb320?hl=en#
The flies system is the humanity controled by (odessa nsacia ) trought
the rf, mind control devices .
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stran...@gmail.com
> > [URL=http://www.slingfile.com/file/25645-3988262082.html]
> > SCIENTIFIC_AMERICAN___19912.PDF (6.84 MB)[/URL]
> > <a href="http://www.slingfile.com/file/
> > 25645-3988262082.html">SCIENTIFIC_AMERICAN___19912.PDF (6.84 MB)</a>
>
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SPECIAL
SECTION
NEW CHALLENGES FOR 1994 SA Edition
> Electronic Fireflies page 127 = 1977= entire second world war 3 planhttp://groups.google.com/group/soc.culture.usa/browse_thread/thread/a...http://groups.google.com/group/soc.culture.scientists/browse_thread/t...
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> The flies system is the humanity controled by (odessa nsacia ) trought
> the rf, mind control devices .
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The paralel self 69 lie
http://alumni.media.mit.edu/~lucente/holo/holovideo.html
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fractal...@gmail.com
>
> > The flies system is the humanity controled by (odessa nsacia ) trought
> > the rf, mind control devices .
>
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> > - Show quoted text -
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> The paralel self 69 lie
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> http://alumni.media.mit.edu/~lucente/holo/holovideo.html
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IT LOOKS LIKE THAT aka (crematoria holocaust)
(
http://docs.google.com/Doc?id=dd78k3f2_2hfchh3d5
http://www.jewishvirtuallibrary.org/jsource/images/Holocaust/k2reconstuction.jpg
http://docs.google.com/Doc?id=dd78k3f2_4dhfp66d7
)
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