MA 771
Introduction to
Discrete Dynamical Systems
Spring 2004
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Syllabus
(including office hours, phone number, etc.)
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Clark Robinson
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Official home page
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Web page for our textbook
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Annotated List of
Texts on Discrete Dynamics
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Exercises
- Introductory Section
(part I) - due Friday, 1/23
- Introductory Section
(part II) - due Friday, 1/30
- Circle Homeomorphisms
(part I) - due Friday, 2/6
- Circle Homeomorphisms
(part II) - due Friday, 2/13
- Linearization
(part I) - due Friday, 2/20
There is also a related handout on
equivalent norms.
- Linearization
(part II) - due Friday, 2/27
- Linearization/Stable Manifolds
(part III) - due Friday, 3/5
- Examples of Axiom A Diffeomorphisms
(part I) - due Friday, March 26
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Mathematica Notebook for Circle
Homeomorphisms: Here is my
Mathematica notebook
(Mathematica version 4 or higher) if you want to play around
with rotations and continued fractions. Contact me if you
have an older version of Mathematica.
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Eric Weisstein's
World of Mathematics (www.MathWorld.com):
Eric Weisstein's World of Mathematics
is an impressive collection of mathematical definitions,
examples, theorems, and miscellaneous tidbits.
The following pages are especially relevant to our course:
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Continued fractions
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Circle maps
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Devil's Staircase - a Cantor function that comes from graphing the
rotation number for a certain family of
circle maps.
For some reason, the rotation number is referred to as a winding
number.
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The Cantor function mentioned above is related to
Arnold tongues.
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Anosov Maps
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Stable Manifolds
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SUNY at Stony Brook Dynamical Systems Homepage