Aug 9-14 2010
University of Texas at Austin
INTRODUCTION TO THE STUDY OF LONG-TERM BEHAVIOR OF NONLINEAR SYSTEMS
SUMMARY: Many systems in nature
have non-linear laws of evolution. It can happen that even simple
laws of evolution can lead to a very complicated evolution. The goal
of the workshop is to present some analytical and numerical methods
that can lead to understanding of these phenomena.
PREREQUISITES: A standard undergraduate course in differential
equations and some ability to
use computers. It will also be desirable to have some more mathematical
maturity, such as a course in linear algebra or a course in real analyisis
There will be 4 daily hours of lectures
by Profs. M. Capinski, and R. de la Llave
and graduate assistants. The lectures will be supplemented by
practices based on
OCTAVE (Feel free to download them in your computers).
There will be financial support for students to attend the course.
Students from U. Texas at
Austin will receive an stipend. Students from outside Austin will receive
lodging and a meal allowance.
Unfortunately, the period to apply to attend the worshop
and to request
expired June 20 2010
U.T. Austin Students
should be aware that there are also
fellowships for further study associated with the
RTG grants. Information about this opportunity including
application forms are
All the above support opportunities are subject to citizenship/residency requirements.
CAPD-tutorial (PDF format)
CAPD-tutorial (source in zip)
Octave online manual
Gnu Scientific Library online manual
B. Ermentrout "Tutorial on XPPAUT"
Kermit Sigmon "Matlab Primer"
Numerical recipes books on line and other books
M. Gidea, C.P. Niculescu "Chaotic dynamical systems: an introductioni"
E. N. Lorenz, "Deterministic nonperiodic flow"
J. Kennedy, J. A. Yorke "A chaos lemma"
J. Kennedy, J. A. Yorke "Topological horseshoes"
J. H. Hubbard "The Forced Damped Pendulum: Chaos, Complication and Control"
Jason James' notes on Celestial mechanics with Matlab examples.
Some sample Fortran programs discussed in the lecture