We study the synchronization of chaotic systems when the coupling between them contains
both time averages and stochastic noise. Our model dynamics–inspired by the partial
differential equations which govern the atmosphere–are given by the Lorenz equations
which are a system of three ordinary differential equations in the variables X, Y and Z. Our
theoretical results show that coupling two copies of the Lorenz equations using a feedback
control which consists of time averages of the X variable leads to exact synchronization …