A
anadude- Submitted By Ana
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A super fractal
B
butterfly effect- Submitted By The Authors
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See sensitive dependance.
C
cantor set- Submitted By The Authors
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The Cantor Set is a fractal generated by repeatedly removing the center third from a line of unit length.
chaos theory- Submitted By The Authors
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A scientific discipline which is based on the study of nonlinear systems. The terms complexity theory and complex systems theory describe the theory more adequately, however, chaos theory is more widely accepted. More information on chaos theory is availbale at the chaos theory main page.
complex- Submitted By The Authors
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The complexity of a system is defined by the comlexity of the model necessary to effectively predict the behavior of the system
converge- Submitted By The Athors
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A point converges if it is stays withing a set boundry throughout iteration.
critical points- Submitted By The Authors
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The critical points of an equation is defined as the point where the graph of a function changes from increasing to decreasing
D
diverge- Submitted By The Authors
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A point diverges if it escapes from a set boundry, or goes to infinity, when the equation is iterated.
E
euclidean geometry- Submitted By The Authors
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Euclidean geometry is geometry based on Euclid's axioms and is the geometry of Euclidean space. Throughout these documents, it is used in reference with objects of an integer dimension.
F
feigenbaun's constant- Submitted By The Authors
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In a period doubling situation, such as the logisitc equation, the ratio of distances between the consecutive doubling parameter values of the equation is iterated to infity is called Feignbaun's constant. It is aproximately 4.669201609102990671853
fractal- Submitted By The Authors
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Fractals are rough or fragmented geometric shapes which display the following two properties: First, most fractals are self-similiar or indendant of scale. Second, fractals have fractal dimensions. More information about fractals are available in the fractal division of the fractal geometry main page.
fractal attractor- Submitted By The Authors
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See Strange Attractor.
fractal dimension- Submitted By The Authors
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The world as we know it is made up of objects which exist in integer dimensions. However, many things in nature are better described with a dimension which is part of the way between two whole numbers. Dimensions which are not integers, but a number between two whole numbers are refered to as fractal dimensions. More information is avaliable in the fractal dimension division of the fractal geometry main page.
fractal geometry- Submitted By The Authors
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While the classical Euclidean geometry deals only with objects which exist in integer dimensions, fractal geometry works with objects in non-integer dimensions, known as fractal dimensions. While Euclidean geometry is a description of lines, ellipses, circles, etc, fractal geometry is described in algorithims, or a set of instructions on how to create a fractal. More information is available at the fractal geometry main page.
G
H
I
J
julia set- Submitted By The Authors
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The Julia Set, closely related to the Mandelbrot Set, is the set of converging points in a plane when tested with equation
K
koch curve- Submitted By The Authors
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The Koch Curve is a fractal generated by removing the center third from a line segment of unit length and replacing it with an equilateral triangle, which has its base removed.
koch snowflake- Submitted By The Authors
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The Koch Snowflake is a fractal, similiar to the Koch Curve, which is generated by removing the center third from each line segment of and equilateral triangle and replacing it with an equilateral triangle which is missing its base.
L
logistic equation- Submitted By The Authors
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The Logistic Equation,
lorenz model- Submitted By The Authors
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The Lorenz Model is a model for the convection of thermal engergy.
M
mandelbrot set- Submitted By The Authors
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The Mandelbrot Set is the set of converging points of a plane when tested with the equation
N
nonlinear- Submitted By The Authors
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Nonlinear implies that a set of data does not fit linear model
O
P
Q
R
S
self similiar- Submitted By The Authors
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Self-similiarity is the property of invariance under a change of scale. In other words, a magnified image is virtually indistinguisahble from the whole.
sensitive dependance- Submitted By The Authors
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Sensitive dependance, otherwise known as the butterfly effect, is one of the key elements in a complex system, stating that complex systems have extreme sensitivity upon initial conditions
sierpinski triangle- Submitted By The Authors
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The Sierpinski Triangle, or the Sierpinski Sieve is a fractal which is generated in the following manner: A triangle is repeatedly divided into four conguent triangles and the center triangle is removed.
strange attractor- Submitted By The Authors
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A Strange Attractor is the limit set of a chaotic trajectory. A Strange Attractor is an attractor that is topologically from a periodic orbit or a limit cycle. It can also be considered a fractal attractor.
system- Submitted By The Authors
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The understanding of the relationship between things which interact. For example, a pile of stones is a system based upon how they are piled. This site deals mainly with chaotic systems.
T
U
V
W
X
Y
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