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Delayed Ikeda Difference Equation

​
function
sin
cos
delay parameters
n
5
m
2
initial
x
0
value
axes
point size
color scheme
background graylevel
randomize
The Ikeda differential equation is
′
x
(t)=sin(x(t-τ))
, where
τ
is a continuously valued time delay. Changing it to the difference equation
x(t,n,m)=1-x(t-m,n,m)+sin(x(t-n,n,m))
gives a recurrence equation with
m
and
n
as discrete delay parameters. Plotted here are the points
{x(t,n,m),x(t-n,n,m)}
.
This Demonstration plots the orbits of this difference equation.
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