Please let me know the topic of your final presentation/project
by April 27, 2015
so I can put it in the table below. Times are first come, first
served ...
Final Project.
Format:
An introductory paragraph describing the problem
Survey of related work (with references)
Derivation of Mathematics
Graphics
Summary and Conclusions
Appendix - Matlab code
Appendix - References
It may be submitted as an html, word or pdf file.
Total length should be 10-15 pages (if printed on paper)...
Below are listed some ideas of projects for the Final:
Synchronization of Chaos --
When two oscillators are coupled, chaotic effects can be coupled.
(ref).
Chaos in physical systems -- For example, the "double pendulum" or the
"Belousov-Zhabatinsky" chemical reaction, or possibly "Chaos in Optics"
(ref).
Chaos in stochastic models -- We have only talked about deterministic
chaos. But introducing a small parameter which comes from a probability
density function can make systems stochastic, and will affect the
dynamics somewhat. Fractal basins and strange attractors may still
exist.
Chaos and the onset of turbulence. Early theories of the onset of
turbulent flow were based on bifurcation and period-doubling. Now, there
are some theories that state that there is an "attractor" in the Navier
Stokes equations which leads to chaos/turbulence. You will need to do
some literature search on this one, and the equations are not for the
faint-hearted!
Fractal image compression.
(ref).
Michael Barnsley developed this, holds several patents,
and I believe he formed a company to market software (see
ref)
Final Presentations: Please call in to my office (979-845-5631).
I will put you on speakerphone, and you can walk me through your
presentation: powerpoint, PDF, or HTML.