By Heinz-Otto Peitgen, Hartmut Jürgens, Dietmar Saupe
The fourteen chapters of this ebook hide the primary rules and ideas of chaos and fractals in addition to many comparable subject matters together with: the Mandelbrot set, Julia units, mobile automata, L-systems, percolation and unusual attractors. This re-creation has been completely revised all through. The appendices of the unique version have been taken out considering the fact that more moderen courses conceal this fabric in additional intensity. rather than the focussed computing device courses in simple, the authors supply 10 interactive JAVA-applets for this moment variation.
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Extra resources for Chaos and Fractals: New Frontiers of Science, Second Edition
4 What Is a Feedback Machine? 1 The Principle of Feedback Video Feedback Video feedback is a feedback experiment in the traditional sense of the word. Its basic configuration is probably as old as television. 4 shows the basic setup. A video camera looks at a video monitor, and whatever it sees in its viewing zone is put onto the monitor. ), as well as the position of the camera with respect to the monitor. Below we collect some important tips which will help you to make a successful video feedback experiment yourself.
But suppose the earth could be covered with sensors spaced one foot apart, rising at one-foot intervals all the way to the top of the atmosphere. Suppose every sensor gives perfectly accurate readings of temperature, pressure, humidity, and any other quantity a meteorologist would want. Precisely at noon an infinitely powerful computer takes all the data and calculates what will happen at each point at 12:01, then 12:02, then 12:03, … The computer will still be unable to predict whether Princeton, New Jersey, will have sun or rain on a day one month away.
When we refer to iterations we should imagine a proper feedback machine. The dynamic behavior of such a machine can be controlled by setting certain outside parameters, similar to control levers in an engine. We will discuss the basic principles guided by the simple example of video feedback, which in fact permits real experiments. This particular feedback machine can be built using particular pieces of equipment. It is a real machine in the original sense of the word. This case is rather the exception in this book.