Chaos: Making a New Science

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Lorenz dubbed it the butterfly effect. This means systems like our weather are so sensitive to small disturbances that a butterfly flapping its wings in Beijing today could be responsible for a raging storm next month in New York. In science-speak, this is also known as “sensitive dependence on initial conditions” – and it became the cornerstone of the new field of chaos theory. Devaney, Robert L. (November 1989). "Review of Chaos: Making a New Science". The College Mathematics Journal. 20 (5): 458–459. doi: 10.2307/2686940. ISSN 0746-8342. JSTOR 2686940.

Frenkel, Karen A. (1 February 2007). "Why Aren't More Women Physicists?". Scientific American. 296 (2): 90–92. Bibcode: 2007SciAm.296b..90F. doi: 10.1038/scientificamerican0207-90 . Retrieved 11 July 2017. Lewis, Michael (1989). "Review of Chaos: Making a New Science". Human Development. 32 (3/4): 241–244. ISSN 0018-716X. JSTOR 26767401. Of course, they knew that it was hard to get perfect measurements on something as complicated as the weather. But they thought that with good enough data and a lot of computer power, it would be possible to calculate the weather for months ahead – at least roughly.

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Untitled (NYC98FA047 crash narrative)". National Transportation Safety Board. US Government. Archived from the original on 17 October 2014 . Retrieved 12 October 2014. At the beginning, the second simulation behaved just like the first. But then, the variables’ behavior started deviating. As simulated time went on, they got more and more out of sync. Finally, the motion of the second graph looked totally different from the first. Balachandran, Balakumar; Hogan, John (June 1999). "Featured Review: So You Have Been Asked to Give a Lecture Course on the Applications of Nonlinear Dynamics..." SIAM Review. 41 (2): 375–382. ISSN 0036-1445. JSTOR 2653080.

FA ID: NYC98FA047". National Transportation Safety Board. US Government. Archived from the original on 17 October 2014 . Retrieved 12 October 2014.The complex plane. Surprise in Newton’s method. The Mandelbrot set: sprouts and tendrils. Art and commerce meet science. Fractal basin boundaries. The chaos game. Chaos: Making a New Science was the first popular book about chaos theory. It describes the Mandelbrot set, Julia sets, and Lorenz attractors without using complicated mathematics. It portrays the efforts of dozens of scientists whose separate work contributed to the developing field. The text remains in print and is widely used as an introduction to the topic for the mathematical layperson. The book approaches the history of chaos theory chronologically, starting with Edward Norton Lorenz and the butterfly effect, through Mitchell Feigenbaum, and ending with more modern applications. A discovery about cotton prices. A refugee from Bourbaki. Transmission errors and jagged shores. New dimensions. The monsters of fractal geometry. Quakes in the schizosphere. From clouds to blood vessels. The trash cans of science. “To see the world in a grain of sand.”

His next books included two biographies, Genius: The Life and Science of Richard Feynman, and Isaac Newton, which John Banville said would "surely stand as the definitive study for a very long time to come." [23] I also found it unstructured and confusing. Players show up in one chapter, abruptly disappear in the next, and sometimes reappear years (chapters) later. I never knew what was coming and how it was going to fit in to the whole. I know this implication of butterfly effect in popular culture is often erroneous. Because it's almost always impossible to know what factors actually tipped off a particular system. But there are always chances that changes in initial condition might accumulate into something different. Or they may not - maybe things happen inevitably. However, we have no way to learn!

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Balazs, Nandor (March 1989). "Review of Chaos: Making a New Science". The Quarterly Review of Biology. 64 (1): 112–113. doi: 10.1086/416224. ISSN 0033-5770. JSTOR 2831779.