50 Mathematical Ideas You Really Need to Know by Tony Crilly

Author:Tony Crilly [Crilly, Tony]
Language: eng
Format: epub, mobi, pdf
Tags: Mathematics, General
ISBN: 9781849165679
Google: SmYzRiYhEzAC
Amazon: B0064BWF7A
Publisher: Quercus
Published: 2008-03-03T00:00:00+00:00

Strange attractors

Dynamic systems can be thought of possessing ‘attractors’ in their phase diagrams. In the case of the simple pendulum the attractor is the single point at the origin that the motion is directed towards. With the double pendulum it’s more complicated, but even here the phase portrait will display some regularity and be attracted to a set of points in the phase diagram. For systems like this the set of points may form a fractal (see page 100) which is called a ‘strange’ attractor that will have a definite mathematical structure. So all is not lost. In the new chaos theory, it is not so much ‘chaotic’ chaos that results as ‘regular’ chaos.

the condensed idea

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