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Nonlinear Dynamics and Chaos
- Predrag Cvitanović
Office: Howey W501
Phone: (404) 385-2502
Email: predrag.cvitanovic [ at ] physics.gatech.edu
Office hours: (tentative): Tuesday 1-2pm
The material covered includes differential equations, their stability and
bifurcations, iterated maps, deterministic chaos, fractals, and strange
attractors with applications to physical, chemical, and biological
Course theme songs
- Stephen Hsu
To Times Once Forgotten
- From Austin TX
Future's so bright
Course theme art
- contributed by Stephen Hsu
Dancers in the Chapel (Advent Children Mix)
From Copenhagen DK
(don't ask what it means)
Nonlinear Dynamics and Chaos (Perseus Books, 1998). All chapter
and exercise numbers refer to this book, unless stated otherwise.
Other books you might find useful:
- E. Ott, Chaos in Dynamical Systems, Cambridge Univ
- K. Aligood, T. Sauer, J. Yorke, Chaos: an Introduction to
Dynamical Systems, Springer-Verlag, New York.
- Hamiltonian Systems:
- A. Lichtenberg, M. Liebermann, Regular and Stochastic
Motion, Springer-Verlag, New York.
- Perturbation Theory:
- C. M. Bender and S. A. Orszag, Advanced Mathematical Methods
for Scienists and Engineers: Asymptotic Methods and Perturbation
Theory, Springer, New York.
Homework assignments will be posted on the web every Thursday and will be due
next Tuesday in class. You can discuss
problems with each other, but the solutions have to be executed and
submitted individually. Some assignments will
include problems (in blue font), which are
mandatory for graduates and optional (for extra credit) for undergraduates.
In general you are expected to comply with the academic honor
code. Grades will based on the results of the homework
assignments (70%), midterm (10%), and final exam (20%).
Predrag.Cvitanovic [at] physics.gatech.edu
svn: $Author: predrag $ - $Date: 2006-03-01 01:39:07 -0500 (Wed, 01 Mar 2006) $