Chapter 12.2, Problem 14E

Interpretation Introduction

Interpretation:

To plot the Lozi map ${\text{x}}_{\text{n+1}}{\text{=1+y}}_{\text{n}}-\text{a}\left|{\text{x}}_{\text{n}}\right|,{\text{ y}}_{\text{n+1}}{\text{= bx}}_{\text{n}}$.

Concept Introduction:

• The expressions for Lozi map are

  ${\text{x}}_{\text{n+1}}{\text{=1+y}}_{\text{n}}-\text{a}\left|{\text{x}}_{\text{n}}\right|,{\text{ y}}_{\text{n+1}}{\text{= bx}}_{\text{n}}$

  Here a and b are real parameters, $-1<b<1$