  A model of two self-sustained oscillators interacting through memristive
coupling is studied. Memristive coupling is realized by using a cubic memristor
model. Numerical simulation is combined with theoretical analysis by means of
quasi-harmonic reduction. It is shown that specifics of the memristor
nonlinearity results in appearance of infinitely many equilibrium points, which
form a line of equilibria in the phase space of the system under study. It is
established that possibility to observe the effect of phase locking in the
considered system depends both on parameter values and initial conditions.
Consequently, boundaries of a synchronization area are determined by the
initial conditions. It is demonstrated that addition of a small term into the
memristor state equation gives rise to disappearance of the line of equilibria
and eliminates the dependence of synchronization on the initial conditions.

Chaotic Dynamics;Adaptation and Self-Organizing Systems