Chapter 12.1, Problem 6E

Interpretation Introduction

Interpretation:

Starting from the initial condition, the Baker’s map is to be studied on a computer for the case $a=\frac{1}{2}$ by plotting the first ten iterations and labelling them.

Concept Introduction:

• ➢ The two-dimensional baker’s map is

  $\left(x_{n+1},y_{n+1}\right)=\{\begin{array}{c}\left({\text{2x}}_{\text{n}}{\text{, ay}}_{\text{n}}\right)\text{ for 0}\le {\text{x}}_n\le \frac{1}{2}\\ \left(2x_n-1,a{y}_n+\frac{1}{2}\right)\text{ for }\frac{1}{2}\le {\text{x}}_n\le 1\end{array}$