Introducing Chaos - download pdf or read online

By Ziauddin Sardar

ISBN-10: 1840465816

ISBN-13: 9781840465815

This ebook explains how chaos makes its presence felt in lots of kinds of occasion, from the fluctuation of animal populations to the ups and downs of the inventory industry.

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Extra resources for Introducing Chaos

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53 The Butterfly Effect Lorenz is also associated with the idea of “the Butterfly effect”. ”. He did not actually answer the question. He did note, however, that if a single flap of a wing could generate a tornado, then it could also prevent a tornado. Moreover, a single flap would not have more or less effect than any other flap of any other butterfly’s wings. 54 Two factors ensured that “the Butterfly effect” would become an emblem of chaos. First, amongst the earliest chaotic systems studied by Lorenz was the famous “strange attractor” that resembled a butterfly.

45 Cultural and Identity Attractors The cultural equivalent of attractors would be chiefs, tribes, states and what gives us identity, like religion, class and worldviews. 46 Chaotic Attractors Now, there is a class of attractors that are a bit out of the ordinary - they are known as “chaotic” or “strange attractors”. I I The strange attractors live in a mathematical construct known as phase space. Phase space is an imaginary space - it is a way in which numbers can be turned into pictures, making a flexible map of all the information available.

47 Representing Phase Space We are familiar with architectural drawings that represent a three-dimensional building in a two-dimensional plane. But suppose instead of a fixed object (a building), we had a moving object - say, a pendulum. We can represent the horizontal and vertical motion of the pendulum in a twodimensional graph. The horizontal axis and the vertical axis provide information about where the pendulum is. X 48 Similarly, phase space represents the state of an object in a multi-dimensional plane.

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Introducing Chaos by Ziauddin Sardar


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