\Large \bf Interdisciplinary Nonlinear Dynamics
Interdisciplinary Nonlinear Dynamics
Detailed Information and Syllabus
This class gives an introduction to
nonlinear dynamical systems as they arise in a wide range of areas of
science and engineering. While the main goal of the class is to present the
concepts and techniques needed for dealing
with these systems it will do so from an applied perspective making
contact with physical systems wherever possible. The course will follow
the textbook Nonlinear Dynamics and Chaos: With Applications to
Physics, Biology, Chemistry and Engineering by S. Strogatz.
Figure 1: a) Period-doubling cascade in logistic map.
b) Spiral-defect chaos in fluid convection.
Key topics to be discussed include
- Phase space representation of dynamical systems,
flows, fixed points, orbits.
- Bifurcations: qualitative change in behavior.
- Nonlinear oscillators
- Weakly nonlinear theory, center manifold reduction, multiple scales.
- Pattern formation
- Chaos, Lorenz system, strange attractors, logistic map, renormalization.
|
Location and Time: TuTh 10:30-12:00 TBA
|
For more information call, send e-mail, or stop by:
491-8316; h-riecke@nwu.edu; M458.
This course will naturally feed into the more advanced course
ESAM 412-1 Methods of Nonlinear Analysis
to be given in Winter Quarter.
File translated from
TEX
by
TTH,
version 2.78.
On 16 Aug 2001, 18:18.
