  We report on an astonishing switching synchronization phenomenon in
one-dimensional memristive networks, which occurs when several memristive
systems with different switching constants are switched from the high to low
resistance state. Our numerical simulations show that such a collective
behavior is especially pronounced when the applied voltage slightly exceeds the
combined threshold voltage of memristive systems. Moreover, a finite increase
in the network switching time is found compared to the average switching time
of individual systems. An analytical model is presented to explain our
observations. Using this model, we have derived asymptotic expressions for
memory resistances at short and long times, which are in excellent agreement
with our numerical calculations.
