# Cobweb Diagram for Generalized Logistic Maps with z-Unimodality

Cobweb Diagram for Generalized Logistic Maps with z-Unimodality

This Demonstration shows the cobweb diagram for , which generalizes the well-known logistic map [1–8]. Here is the iteration number, is the iterate of starting from the initial value , is the main control parameter, and is the subcontrol parameter (which determines the unimodality, the degree of the local maximum of ).

f(x)=x=λ(1-x)/2-1

GLM

i

i+1

i

z

f(x)=x=λx(1-x)

LM

i

i+1

i

i

i

x

i

i

th

f(x)

GLM

i

x

0

λ

z

f(x)

GLM

i