Chapter 12.2, Problem 13E

Interpretation Introduction

Interpretation:

To explore the area-preserving Ηénοn map, that is, for $\text{b = 1}$.

Concept Introduction:

Hénon map is given by

${\text{x}}_{\text{n + 1}}{\text{ = y}}_{\text{n}}{\text{ + 1 - ax}}_{\text{n}}{}^{\text{2}}$

${\text{y}}_{\text{n + 1}}{\text{ = bx}}_{\text{n}}$

For area-preserving Ηénοn map, $\text{b = 1}$.