MCE 567
Assignment #1
Spring 2011
Due Date: February 15, 2011
Exercise 1: In Matlab, generate M trials of random processes with the forms
1. x(t) = cos(t) + n(t);
2. x(t) = cos(t + ) + n(t); and
3. x(t) = A cos(t + ) + n(t),
where 0 t T for some sample ti

Assignment 1: Solution
Exercise 1: Case (a) signal is not stationary since its mean fluctuates outside the error
bounds. Signals for cases (b) and (c) seem to be approximately stationary since the mean
stays within the error bounds and corresponding stand

MCE 567 Assignment # 4 Solution
D avid Chelidze
04/11/2011
Problems 3.1
We see that delay 1 gives the best resemblance to the original, and increasing the delay complicates the picture.
Now if we denote
Then we can write the map in delay coordinates:
+1 =

MCE 567
Assignment #3
Spring 2011
Due Date: March 8, 2011
Exercise 1: Consider the driven, two-well Dungs oscillator
x + x x + x3 = F cos(t)
which can be written in state variable form as
x=v
v = x x3 + (v + F cos(t).
In the above expressions, is the line