| math 456 dynamics and geometry
of chaos fall 2024 |
|---|
| announcements |
| office hours (FO3-232)
tue/thu: 11-11:45 |
| 10/7
posted: assignment 2 |
| handouts | |||||
| syllabus |
sample project topics | ||||
| LaTeX | |||
| TeX
Studio |
learn
LaTeX in 30 minutes |
||
| Mathematica |
||
| installation | logistic
exploration (notebook) |
|
tutorials >> |
elementary introduction to the Wolfram language | fast
introduction for math students |
| Mathematica introduction | hands-on
start to Mathematica (video) |
|
| assignments | ||
| 1st |
2nd |
3rd |
| talks | ||
| 1st |
2nd |
3rd |
| labs
LA5-255 |
||
| 1st | 2nd | 3rd |
| 9/12 |
10/17 |
11/21 |
| reference | |
| K. Briggs | A precise calculation of the Feigenbaum constants |
| A. Baxter, R. Umble | Periodic orbits of billiards on an equilateral triangle |
| C. Spandl | Computational complexity of iterated maps on the interval |
| S. Elaydi | On a
converse of Sharkovsky's Theorem |
| B. Webb | Dynamics of functions with an eventual negative Schwarzian derivative |
| M. Barnsley |
A
combinatorial characterization of the critical
itineraries of an overlapping dynamical system |
| X. Wang, Y. Huang |
Devaney's
chaos revisited |
| A. Cima, A. Gasull, V. Manosa |
On Poncelet's maps |
| M. Carvalho, F. Moreira |
Sharkovskii order for
non-wandering points |
| C. Bernhardt |
Sharkovsky's
theorem and one-dimensional combinatorial dynamics |
| E. Coven, I. Kan, J. Yorke |
Pseudo-orbit
shadowing in the tent map |
| E. Akin |
Conceptions
of topological transitivity |
| J. Banks, et al |
On Devaney's
definition of chaos |
| E. Glasner, P. Weiss |
Sensitive
dependence on initial conditions |
| recreational | |
| B. Freedman |
The four number game |
| J. Laskar |
Is the solar
system stable? |