WOLFRAM|DEMONSTRATIONS PROJECT

Strange Attractor of Gumowski-Mira

​
n
1000
A
-0.31
B
1
The strange attractors found by Gumowski–Mira have shapes reminiscent of marine life-forms. These attractors arise from a discrete dynamical system defined by
x
n+1
=B
y
n
+f(
x
n
)
,
y
n+1
=f(
x
n+1
)-
x
n
, where
f(x)=Ax+2(1-A)
-2
2
x
(1+
2
x
)
.