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COLQ2992
Chaos Across the Sciences
Study Guide
The
student should be able to know and understand the following things:
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What is the Butterfly
Effect, how was it discovered and why is it important?
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What does sensitive
dependence on initial conditions mean?
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What is a bifurcation
diagram?
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What does the
"onset of chaos" signify?
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What is a fractal?
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Be able to describe or
diagram three different types of fractals.
Material to be included by the final:
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What is an
attractor? What is a strange attractor?
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What is turbulence and what theories
(unsuccessful and sucessful) have been used to explain it?
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What is Universality? What mathematical
representation did Feigenbaum use to display the behavior of
equations as they were iterated?
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What was Libchaber's experiment and why is it
important? How did Libchaber analyze his data to arrive at
his results?
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What is the Mandelbrot set and how is it
arrived at? How does the Mandelbrot set related to all Julia
sets?
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What was the Dynamical Systems Collective's
powerful yet simple demonstration of the formation of strange
attractors?
In each
case the student should be able to give a definition, an explanation
and provide an application of the concept involved.
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