So now we have a value for which is close to the relaxation
frequency for the number of carriers in the system. So we set this value
and we are free to vary
. We pick a set of initial conditions and
set them as constant, namely
=0.01 and
=7. We find that when
the value for b is around 0.0072-0.0073, we see chaotic behavior in
the system. This is interesting since chaos in the laser system can have many
interesting applications. Chaos has already been controlled in experiments involving lasers. We hope to be able
to apply the ideas of control
and synchronization of chaos to this laser system in the future.