# Exercises for Chaos Under Control

## Chapter 8: The Fragility of Order

In Basins of Attraction, we investigate the
basins of attraction of one-dimensional maps, and experiment with a
magnetic system.

In Newton's Method for Digging Up Roots, we
study Newton's method for polynomial examples, relate this to graphical iteration,
and find the basins of aattraction of the polynomial roots.

In Another Surprise in Newton's Method, we see
that Newton's method for a family of complex cubic polynomials contains ... if
we told you, it wouldn't be a surprise.

In A Parable, we bring these technical ideas
back into our lives.

Return to Exercises Introduction

Go to Chapter 1 exercises

Go to Chapter 2 exercises

Go to Chapter 3 exercises

Go to Chapter 4 exercises

Go to Chapter 5 exercises

Go to Chapter 6 exercises

Go to Chapter 7 exercises

Go to Chapter 9 exercises

Return to Chaos Under Control