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Technology Stocks : NVIDIA Corporation (NVDA)

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From: Frank Sully	12/26/2020 11:12:47 AM
	of 2646

OT: Turbulence and Strange Attractors Here is an interesting video of an experiment which I first saw in 1979 at a meeting in New York City of the New York Academy of Sciences. At the time I was a fledgling graduate student and my thesis adviser was a speaker at the meeting. The buzz at the time was "strange attractors" and their importance in explaining the "transition to turbulence" in physical systems. All of this is related to "fractals" and thus began the journey to my doctoral dissertation. What became fascinating to me was how these experimental and theoretical physicists were using the mathematics which I was studying to explain interesting phenomena in the real world. To simplify things, phenomena which occur in the real world are determined by multidimensional equations. In order for phenomena to be stable and thus observable and not transitory there must be an attracting region in the space of equations where the solutions to the equations determining the phenomenon occur. When this attracting region in the space of equations is a "fractal" one says that there is a "strange attractor" responsible for the phenomenon. This was predicted by Ruelle and Takens among others, and verified experimentally by Gollub and Swinney in the following experiment. Here a fluid is suspended between two rotating cylinders. The speed of the cylinders is gradually increased and the behavior of the fluid is observed. While the behavior is a little difficult to see in this video, what happens is that first stacks of rotating donuts are observed. As the speeds are increased, the stacks of donuts exhibit more and more oscillating behavior until they finally break up into pure chaos. It is the behavior between the stacks of donuts and the pure chaos which are most interesting and where the "strange attractors" come into play. See description in link below and enjoy the video! Description: en.wikipedia.org Video: youtube.com Cheers, Frank "Sully"

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