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Today's post will be about the possible applications of chaos theory.

Chaos theory has obvious applications in the world, as most real world situations are chaotic, with none chaotic theories of physics normally approximating the real situations. Examples of where it is useful include biological systems, physical systems and economics.

In biological systems chaos theory can be used to monitor and predict population growth and the spread of disease. Both of these are very chaotic systems, but also systems that it is important to understand.

In economics chaos theory can be used to predict the actions of the stock exchange. Adding chaos theory to predictive systems makes them much more accurate.

Fractals, an important part of chaos theory, are very useful in studying a huge amount of areas. They are present throughout nature, and so can be used to help predict many things in nature. They can also help simulate nature, as in graphics design for movies (animating clouds etc), or predict the actions of nature.
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Today's post will deal with the history of chaos theory. It is the fourth part of my bluffer's guide to chaos theory.

In the first post we discussed how Edward Lorentz helped form the field, by showing that small changes in initial conditions can have large impacts. This idea, which has been called the butterfly affect, was a major change of viewpoint for many in the scientific community.

[ Click here to read more ]
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Today's post is going to be about fractals, which are an important aspect of chaos theory.

A fractal is technically defined as an object whose Hausdorff-Besicovitch dimension is greater than its topological dimension, but a common definition is a shape that appears similar at large levels of magnification.

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Today's post is going to be about attractors and strange attractors, and is the second part of my bluffer's guide to chaos theory.

Phase space represents all the possible states of a system, with each point in phase space representing one possible state. An attractor is a point in phase space towards which the system will converge, and which it will return despite small disturbances.

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This weeks post is going to be another bluffers guide to, which will focus on Chaos Theory. However, this one is going to be written and posted in 5 sections, with one of these being an already written post dealing with the basics of chaos theory, one on strange attractors, one on fractals, one on the history of chaos theory and one on the uses and future of chaos theory. I hope you enjoy it.

So, head on to: http://www.funfacts.com.au/what-is-chaos-theory/ for an introduction to Chaos Theory, if you feel you might need a bit of a primer to understand the following articles


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What is Chaos Theory?

June 16th 2006 08:09
Well, I'm going to write a number of articles on Chaos Theory, so I thought I would start it off by briefly outlining what Chaos Theory is.

The Basics

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