  The phenomenology of a system of two coupled quadratic maps is studied both
analytically and numerically. Conditions for synchronization are given and the
bifurcations of periodic orbits from this regime are identified. In addition,
we show that an arbitrarily large number of distinct stable periodic orbits may
be obtained when the maps parameter is at the Feigenbaum period-doubling
accumulation point. An estimate is given for the coupling strength needed to
obtain any given number of stable orbits.
