Dynamical Systems: Chaos Theory and Fractals, Spring 2018
Homework and Lab assignments
This page
will be updated frequently. Please check it out often for the most
recent information.
Unless
noted otherwise, all problems are from the textbook.
| Assignment | Due date | |
| HW 1 Ch.3 |
2, 3, 6, 7 (b) (c) (e) (h), 8, 10 | Wednesday, Jan. 24th |
| 12, 14 (Dº3 and higher only, since Dº2 was covered in class), 15, 16, 17 | ||
| Additional problems for graduate students | ||
| Lab 1 |
The Computer May Lie | Friday, Jan. 26th |
| HW 2 Ch.4 |
1 & 3 (b) (c) (f), 4 (b), 7 (a)-(d), (f) (h) | Monday, Jan. 29th |
| HW 3 Ch.5 |
1 (a) (b) (h) (j) (k), 4 (b), (c), (d), (e) | Wednesday, Feb. 7th |
| 2 (a) (b) (c) (f) | ||
| Ch.5 |
Additional problems for graduate students | Wednesday, Feb. 7th |
| Lab 2 |
Rates of Convergence | Friday, Feb. 9th |
| HW 4 Ch. 6 |
1 (j), 6, 7, 12, 13 |
Monday, Feb. 19th |
| 14, additional problem | ||
| Lab 3 |
The Transition to Chaos | Friday, Feb. 23rd |
| HW 5 Ch.7 |
4, 5, 7 |
Friday, March 9th |
| 9-14 | ||
| HW 6 Ch.10 |
1-4 | Friday, March 30th |
| 19, 23 | ||
| Additional problem | ||
| Additional problems for graduate students | Friday, March 30th | |
| Lab 4 |
Feigenbaum's Constant | Monday, April 2nd |
| HW 7 Ch. 12 |
1 (b), (c), (d), 2, 4 | Monday,
April 9th |
| 6, 7, 8 | ||
| 5, 10 (a),(b),(c) | ||
| HW 8 Ch.14 |
3, 11, 15 | Monday,
April 23rd |
| 2, 4, 5, 6, 8 | ||
| Lab 5 |
Iterated Function
Systems: Experiment 14.8, p.197 Do main part and question 1 from Notes and Questions. Don't forget to compute fractal dimension in each case! |
Wednesday, April 25th |
| Lab 6 |
Exploring Mandelbrot and Julia sets |
If you have any questions, please e-mail me at ostapyuk@math.uni.edu