This Problem Sheet is based on Lectures 15 and 16.

• Problem 1 is an explicit computation (the course doesn't have enough of these!)
• Problems 2 and 3 are about orientation-reversing reversible dynamical systems on $S^1$.
• Problem 4 is not directly related to rotation numbers, but it helps to put the definition of homoclinic and heteroclinic points into context.
• Problem 5 shows that non-periodic points of an orientation-preserving reversible dynamical system on $S^1$ behave coherently under iteration.
• Problem 6 is about the non-wandering set of an orientation-preserving reversible dynamical system on $S^1$.