All problem numbers refer to the primary course text by Robert Devaney. Unless otherwise indicated, all parts of a problem (a), (b), etc. should be completed. You should write up solutions neatly to all problems, making sure to show your work. A nonempty subset will be graded. You are encouraged to work on these problems with other classmates, and it is ok to use internet sources for help if it's absolutely necessary; however, the solutions you turn in should be YOUR OWN WORK and written in YOUR OWN WORDS.

** Note: ** Please list the names of any students or faculty who you worked with
on the assignment.

**Strange Attractors**

Read *Strange Attractors*, the fifth chapter of
Gleick's book *Chaos*.

What is a strange attractor? In particular, what is the difference between an attractor and
a *strange* attractor? Who were the two scientists to come up with the term?
Who found the first strange attractor in their research before the term even existed?

**Chapter 11 (pp. 151 - 153) **

Problems: 1, 2, 3, 4

**Hint:** For problem #3, note that there is no assumption that **F** is continuous.

**Chapter 12 (pp. 161 - 163) **

Problems: 1b, 1c, 2, 7, 8

**Additional Problem:**

Prove the Transitivity Proposition, that is, prove that if **f** and **g** are topologically conjugate
and **f** is toplogically transitive, then **g** is also topologically transistive.
(See your class notes from 3/27 for hints and details.)