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Lorenz's Work In The Chaos Field And Basic Chaos - College Papers

Lorenz's Work In The Chaos Field And Basic Chaos

Edward Lorenz was a mathematical meteorologist during the 1960s. In
1961, an experiment with a primitive weather predicting program lead to the
discovery of the theory of chaos. Lorenz defined chaos as "a system that
has two states that look the same on separate occasions, but can develop
into states that are noticeably different.� He started exploring further
into the chaos field and performing experiments that lead to his discovery
of the Lorenz equations in 1963.
In 1961, Lorenz developed a weather model consisting of twelve non-
linear equations. This model included barometric pressure, wind velocity,
temperature, etc.. After running it on his computer, it seemed to give ...

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of the
middle of the last run. The numbers were not very close and growing farther
apart as the sequence progressed. Lorenz then thought there was a bug in
the system. After much double checking, he found the problem. When he had
entered the data into the second run, he had shortened one decimal. He had
cut 0.506127 at 0.206 thinking it would not make a difference. Having
understood the importance of one thousandth of a part, Lorenz had
understood the basis for a chaotic, non-linear system.
Another very important experiment of Lorenz's is known as �the
dueling calculators.� Lorenz used two calculators to perform the same
iteration. Calculator one had ten significant digits, while calculator two
had twelve.

The resulted of this experiment are below.

calculation number calc1 calc2
1 0.0397000000 0.039700000000
2 0.1540717300 0.154071730000
3 0.5450726260 ...

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Lorenz's Work In The Chaos Field And Basic Chaos. (2007, December 19). Retrieved December 2, 2024, from http://www.essayworld.com/essays/Lorenzs-Work-Chaos-Field-Basic-Chaos/76104

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"Lorenz's Work In The Chaos Field And Basic Chaos." Essayworld.com. December 19, 2007. Accessed December 2, 2024. http://www.essayworld.com/essays/Lorenzs-Work-Chaos-Field-Basic-Chaos/76104.

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PAPER DETAILS

Added: 12/19/2007 05:31:59 PM
Category: Biographies
Type: Free Paper
Words: 1075
Pages: 4

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