Instructor

Predrag Cvitanović
Office: Howey W501
Phone: (404) 385-2502
Email: predrag.cvitanovic [ at ] physics.gatech.edu
Office hours: (tentative): Tuesday 1-2pm

TA

Jonathan Halcrow
Office: Howey W503
Phone: (404) 894-9407
E-mail: gte899j [ at ] mail.gatech.edu
Office hours: Mon 1-2pm

Time

Tue, Thu 09:35-10:55 in room S204, Howey Physics Building

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 systems.

Tamás Tél and Marton Gruiz: Chaotic Dynamics: An Introduction Based on Classical Mechanics (Cambridge Univ. ress, Cambridge 2006); All chapter and exercise numbers refer to this book, unless stated otherwise.

Other books you might find useful:
• Differential equaitons:
  • Steven Strogatz: Nonlinear Dynamics and Chaos (Perseus Books, 1998).
• Maps:
  • E. Ott, Chaos in Dynamical Systems, Cambridge Univ Press.
  • 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.

Homeworks

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. Comply with the academic honor code. Grades will based on the results of the homework assignments (70%), midterm (10%), and final exam (20%).

svn: $Author: predrag $ - $Date: 2006-11-08 09:50:33 -0500 (Wed, 08 Nov 2006) $