### MATH 6647 Numerical Methods for Dynamical Systems

### Spring 2003

### MWF 9-10 Skiles 270

### Professor Federico Bonetto

### Office Hours: MW 10-11

#### Material available on line

Predrag Cvitanovic'
et al.: Chaos Classical and Quantum: chapters 1,2,3,4 contain most
of the things we spoke about till now, plus other and some good
example. Chapter 13 may be usefull later on in the class. The rest
depends on how the class will develop but is interesting.

Numerical Recipes a good source
of algorithms and codes.

AUTO97 a nice
simulation pakage although a little dated. The graphical interface
has some problem with Linux. All put here a fixed version soon. A list
of available software online is at
NUMERICAL SOFTWARE TOOLS AND INFORMATION SOURCES.

Lecture
Notes they seem interesting and contain a lot of material we will
need.

Gallavotti,
Bonetto and Gentile: Aspects of the ergodic, qualitative and
statistical theory of motion may be useful in the following.

John David
Crawford, "Introduction to bifurcation theory"
Reviews of Modern Physics, Vol. 63, (991) a nice review at a
research level.

More to come

#### Suggested books

J. Hale and H. Kocak: "Dynamics and Bifurcation", Springer-Verlag