winston@cubsvax.UUCP (07/30/84)
Can anyone give me some references on the mathematical/physical
field called "Chaos?" There was an article not too long ago in the
New York Times Sunday Magazine about somebody at Cornell working on
this, but (of course) no references to in depth articles about the
field. I understand that the field is too new for any books to be out,
but there must be papers out. Any pointers appreciated.
Reply to (note different than return path from this posting):
Ken Winston
{philabs!cubsvax , cmcl2}!wealth!kenturano@silver.DEC (Tom Turano DTN 231- [Office 4735, Lab 6978]) (08/06/84)
Since I can't seem to respond to Ken Winston mail via the path he describes, this seems to be the next best way. Ken, For good (as in not overly technical initially) papers on Chaos I suggest you find one or more of the following. These papers are written in a "popular" as opposed to a technical format. As a result they are pretty good. Universal Behavior in Non-linear Systems, M.J. Feigenbaum Los Alamos Science, Summer 1980, p. 4. Metamagical Themas, D.R. Hofstadter, Scientific American, November 1981, p. 23. Review of the CNLS Conference on Chaos in Deterministic Systems, D. Campbell, D. Farmer and H. Rose, Los Alamos Science, Fall 1982, p. 66. The Limits to Simulation, R. Sugarman and P. Wallich, IEEE Spectrum, April 1983, p. 36. How Random is a Coin Toss, J. Ford, Physics Today, April 1983, p. 40. Roads to Chaos, L.P. Kandnoff, Physics Today, December 1983, p. 46. In addition, the August and September 1983 issues of IEEE Transactions on Circuits and Systems had a number of technical papers on Chaos. Hope this is of use. Tom Turano Laboratory Data Products Digital Equipment Corporation Path: DECVAX!DECWRL!RHEA!GOLD!TURANO
holland@uiucdcs.UUCP (08/10/84)
#R:cubsvax:-25200:uiucdcs:28200040:000:100 uiucdcs!holland Aug 9 22:09:00 1984 What flavor of mathematics is useful in the study of chaos? mike (convex!uiucdcs!holland)
larry@hpfclp.UUCP (larry) (08/11/84)
This month's (August) "Discover" magazine has a couple articles on Chaos. I haven't read them yet, so I have no idea how good they are or how many references they give. Larry Fenske
glenn@ncoast.UUCP (Glen Norris h2280589) (08/18/84)
I will half answer Mike's question by mentioning the word 'Fractal'. Now does this intrigue anyone here in .math? The word was coined by Benoit Mandelbrot in studying natural things thought to be chaotic. I've read an interview with him in Omni and another pictoral of his computer graphics in an earlier edition. I know hardly anything about the critters except the rules layed out for them which include things like- they have an infinite length, their own structure is a made of their own structure (!), and the mathematical representations have something to do with fractional exponents. If anyone could tell me more about fractals I'd sure love to hear it. Sounds like the kind of thing we could really get into. Glen Norris ..decvax!cwruecmp!ncoast!gle[n,nn]