# 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.