  We study a switching synchronization phenomenon taking place in
one-dimensional memristive networks when the memristors switch from the high to
low resistance state. It is assumed that the distributions of threshold
voltages and switching rates of memristors are arbitrary. Using the Laplace
transform, a set of non-linear equations describing the memristors dynamics is
solved exactly, without any approximations. The time dependencies of
memristances are found and it is shown that the voltage falls across memristors
are proportional to their threshold voltages. A compact expression for the
network switching time is derived.
