Consistency in driven nonlinear systems

We study the consistency of response of nonlinear dynamical systems driven by chaotic and colored noise signals. We use the Lorenz model and a microchip solid-state laser to test consistency. Parameters are chosen so the system is in a chaotic state and response of the
system starting at different initial conditions is studied for repeated
applications of the drive signal. The convergence of the response is
analyzed in dynamical phase space in terms of the local conditional
Lyapunov exponent. The dependence of the local conditional Lyapunov
exponent on drive signal and the existence of multiple basins of
consistency are investigated.