MAT 667 (Dynamical Systems)
Homework #4, Due Nov. 27, 2012
1. Find the Singular Value Decomposition A = U V T of the rank-one matrix
[
]
1 2
A=
.
0 0
Note that is a 1 1 matrix.
2. Use Newtons method to nd the period 3 points of the Whitley map wa,b with
a
MAT 667 (Dynamical Systems)
Homework #3, due Sept. 18, 2012
Exercises on p. 98: 2.1, 2.3, 2.5, 2.7, 2.8, 2.9
1. Find an expression for Fibonacci Numbers Fn dened by F0 = 1, F1 = 1,
and Fn+1 = Fn + Fn1 . Do this by re-writing the problem as vn+1 = Avn , wi
MAT 667 (Dynamical Systems) Prof. Swift
Final Exam: 12:30 - 2:30, Thursday, December 13, 2012
You may bring the book, a calculator, homework and notes to the exam. Also bring
paper, since I will have you do the problems on your own paper.
Here is the nal
MAT 667 (Dynamical Systems)
Homework #2, due Sept. 27, 2012
1. Let t to denote the tent map, dened as
cfw_
1
2x
if 0 x 2
t : [0, 1] [0, 1]; t(x) =
2 2x if 1 x 1
2
1. Let x [0, 1] can be written in base 2 as x = 0.b0 b1 b2 b3 . . .2 , possibly ending in al