Chapter 10.2, Problem 5E

Interpretation Introduction

Interpretation:

Plot orbit diagram for map equation ${\text{x}}_{\text{n+1}}{\text{= x}}_{\text{n}}{\text{e}}^{{\text{- rx}}_{\text{n}}}$. Also, try different initial conditions.

Concept Introduction:

• ➢ Standard periodic doubling: It is a discreet dynamic system equation in which a small change in a parameter values the system equation change to the new behavior with double the period of the original system.

• ➢ Logistic map: A logistic map is defined as the polynomial map of the degree two and chaotic behavior can arise from a non-linear dynamic equation.