The "4-Breasts" Attractor of a nonlinear difference equation
This remarkably-shaped attracting set belongs to the nonlinear difference equation below.
It is not clear why this shape is obtained but more details and
the mathematical context behind the NDE such as this equation appear in the book
"Nonlinear Difference Equations: Theory with Applications to Social Science Models"
by H. Sedaghat that is
available from Springer-Verlag.
For additional information on this and similar discrete
attractors also see:
DDS-NDE Home
<----- Parameters and initial values
The nonlinear difference equation is:
A portion of the time-series (the last 100 iterations) is shown below:
A state-space (or phase) plot of the last 50,000 points of a single trajectory is shown below:
Tracing a few points in the state-space:
Portions of the attractor are magnified below:
