Chaos and Fractals

Chaos deals with nonlinear dynamical systems. Learn about Chaos Theory or discuss topics such as lotenz systems, the butterfly effect, and modeling turbulent fluid systems such as the climate and weather. Fractals are used especially in... [more]

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The Heart of Trading Futures Contracts: Fractals Defined

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trader7757 on

From: thepracticalhypocrite.blogspot.com

Source of some of this article is Wikipedia. A fractal is generally "a rough or fragmented geometric shape that can be split into parts, each of which is (at least approximately) a reduced-size copy of the whole,"[1] a property called self-similarity. The term was coined by Benoît Mandelbrot in 1975 and was derived from the Latin fractus meaning "broken" or "fractured." A fractal often has the following features: * It has a fine structure at arbitrarily small scales. * It is too irregular to be easily described in traditional Euclidean geometric language. * It is self-similar (at least approximately or stochastically). * It has ... Read Full Story

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Fractals

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rafoarc on

From: object-e.blogspot.com

Some experiments with fractals, using chaoscope and gaston. Both applications can generate fractal formations in 3d. However, the models are made out of (millions of) points, so I suppose that it would be impossible to export in any standard 3d format... Read Full Story

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Fractal Dimension and Analysis of Chaotic System Predictions

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HouwLiong on

From: sansteknologi.blogspot.com

By: Acep Purqon Advisor: Prof. Dr. The Houw Liong Departemen Fisika - ITB : Jl. Ganesa 10, Bandung Created: 2005-01-27 , with 1 file(s). Master Theses from JBPTITBFI / 2005-02-08 14:16:05 In 1963 Edward Lorenz successfully formulated chaotic behavior in weather. Lorenz simplified model of 2D thermal convection known as Rayleigh-Benard convection into three simultaneous ordinary differential equations called Lorenz equations. Lorenz noticed that, in his simplified mathematical model of Rayleigh-Benard convection, very small differences in the initial conditions blew up and quickly led to enormous differences in the final behavior. He reasoned that if this type of behavior could occur in such a ... Read Full Story

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Chaos Theory and Fractals

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trader7757 on

From: thepracticalhypocrite.blogspot.com

It is fitting that chaos theory got its start in the humble but frustrating field of meteorology. Why does it seem impossible for all our hot-shot meteorologists, armed as they are with ever more efficient computers and ever greater masses of data, to predict the weather? Two decades ago, Edward Lorenz, a meteorologist at MIT stumbled onto chaos theory by making the discovery that ever so tiny changes in climate could bring about enormous and volatile changes in weather. Calling it the Butterfly Effect, he pointed out that if a butterfly flapped its wings in Brazil, it could well produce a tornado in Texas. ... Read Full Story

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Free Fractal generation using Gnofract 4D

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mriza on

From: infodotnet.blogspot.com

$Free Fractal generation using Gnofract 4D - From blogger.com$

What is fractal A fractal is generally "a rough or fragmented geometric shape that can be subdivided in parts, each of which is (at least approximately) a reduced-size copy of the whole," a property called self-similarity. The term was coined by Benoît Mandelbrot in 1975 and was derived from the Latin fractus meaning "broken" or "fractured". A fractal often has the following features: It has a fine structure at arbitrarily small scales. It is too irregular to be easily described in traditional Euclidean geometric language. It is self-similar (at least approximately or stochastically). It has a Hausdorff dimension which is greater than its topological ... Read Full Story

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Tomorrow's weather: Cloudy, with a chance of fractals - environment

Even now, the world's most powerful computers are pushed to their limits extracting predictions of future weather and climate from the equations he wrestled with using pencil and paper. Yet Richardson suspected that behind the mathematical complexity of the atmosphere lay a far simpler reality - if only we looked at it the right way. Now an international team of researchers analysing signals from satellites, aircraft and ground-based...

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please review my fractal site.

I have been a fractal animator for a few years now and decided to put all my knowledge and work together to create my fractal website. http://www.hd-fractals.com I have tried to give the website a modern uncluttered feel. I would love to get any tips or advice that I might need from you guys,...

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Fractal Metamaterials Enable Antenna Revolution

Fractal Antenna Systems, Inc. announced development of a new metamaterial technology that uses fractals to make layered, partless antennas and related electronics. Fractals are complex geometric shapes built up from a repetition of a simple one, while metamaterials are composites with unusual properties not found in nature. These new antennas, called "metacloak" antennas, have unique performance abilities in bandwidth, gain, directivity, and...

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Tomorrow's weather: Cloudy, with a chance of fractals

Umbrella or sunscreen? Flood or drought? The secret of flawless weather forecasting turns out to be surprisingly simple

From newscientist.com ()

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Weird Fractals Free Screensaver 1.0

Look at your desktop and see the amazing weird fractals on it!

From softpedia.com ()

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