Simple example of partial synchronization of chaotic systems

A system of three nonsymmetrically coupled skew tent maps is considered. It is shown that in a large region of the parameter space, partial chaotic synchronization takes place. This means that two variables synchronize, while the third does not synchronize with the first two, and while the global motion is chaotic. The different bifurcations that lead to this behavior, as well as to its disappearance, are discussed.