Delayed Ikeda Difference Equation
Delayed Ikeda Difference Equation
The Ikeda differential equation is (t)=sin(x(t-τ)), where is a continuously valued time delay. Changing it to the difference equation gives a recurrence equation with and as discrete delay parameters. Plotted here are the points .
′
x
τ
x(t,n,m)=1-x(t-m,n,m)+sin(x(t-n,n,m))
m
n
{x(t,n,m),x(t-n,n,m)}
This Demonstration plots the orbits of this difference equation.