Nonlinear Dynamics and Chaos
Georgia Tech PHYS 4267/6268
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.
Nonlinear Dynamics and Chaos (1995 or 2015 edition).
All chapter and exercise numbers refer to this book, unless stated otherwise.
- Online resources
- the very best book value per money:
- books strong on maps:
- E. Ott, Chaos in Dynamical Systems, Cambridge Univ
- K. Aligood, T. Sauer, J. Yorke, Chaos: an Introduction to
Dynamical Systems, Springer
- book strong on Hamiltonian systems:
- A. Lichtenberg, M. Liebermann, Regular and Stochastic Motion,
- book strong on perturbation heory:
- C. M. Bender and S. A. Orszag, Advanced Mathematical Methods for
Scienists and Engineers: Asymptotic Methods and Perturbation Theory,
Homework assignments will be posted on the web every Thursday and will be due
next Thursday in class, with solutions posted to T-square. 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.
Use a computer to do plots - in the long run,
it is faster, and it is what you need to learn anyhow
You are expected to comply with the academic honor code.
Grades will based on the
results of the homework assignments (70%), midterm (10%), and sit-down final exam (20%). The final can be substituted by a lab project (talk to Prof. Goldman).