Time-Series Analysis for Generalized Logistic Maps with z-Unimodality
Time-Series Analysis for Generalized Logistic Maps with z-Unimodality
This Demonstration shows a time-series plot of an iterative map with a barcode attachment. The test map, ()==λ(1-|)2-1, generalizes the well-known logistic map ()==λ(1-) [1–7]. 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
GLM
x
i
x
i+1
x
i
z
|
f
LM
x
i
x
i+1
x
i
x
i
i
x
i
th
i
f
GLM
x
i
x
0
λ
z
f
GLM
x
i