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To: kormac who wrote (68669)	10/20/2005 4:56:25 PM
From: maceng2	Read Replies (1) \| Respond to of 74559

I doubt if it was Myrberg who first demonstrated chaos. From a quick peek into my books on chaos though, I see on Mandelbrot (in 1984, Nobel Symposium)... ....listeners later described as his "antifeigenbaum lecture". Somehow Mandlebrot had exhumed a twenty year old paper on period-doubling by a Finnish Mathematician called Myrberg..... Well these prominent mathematicians and scientists do like to tease and correct one and another. The important point here is the paper had been deep sixed for twenty years, nobody was interested in it, until Mandlebrot pulled it out of some dusty corner. The case of nonlinear equations has been on record for a lot longer then 1958. How about Henri Poincaré in 1890? www-chaos.umd.edu From Paul Trow on "Chaos and the Solar System" Like many problems in mathematics, the new ideas and methods generated by the study of planetary motion were as important as the original problem itself. In 1890, Poncaré submitted a memoir, entitled On the Problem of Three Bodies and the Equations of Dynamics, to the committee appointed to judge the competition. Recognizing the fundamental importance of Poincaré’s work, the committee awarded him the prize. geocities.com@sbcglobal.net/essays/ChaosandSolarSystem4.htm I think if you look back even further, there will be even earlier contributers. Why I call the Mandelbrot set as the "daddy" is that it does encompass the subject of chaotic data sets. All other chaotic data sets seem to fit in it. (i.e. don't ask me to provide a proof -g-) Chaos and nonlinear equations were given the cold shoulder for a long time by the established mathematicians and scientists. These were able and competent people in positions of power and influence. In the 1950's though to the 1980's it took the efforts of many talented people to bring the mathematics and related science into general acceptance. I am sure many careers were risked and determined efforts had to be made to ensure that success. Lorenz can be the flag bearer of them all with his butter fly wings (they started off as seagull wings, but some mathematician with a little PR aptitude must have got them changed to butterfly wings). It was the contributions by the many that made it happen. That's how I like to look at it.