  In this paper we report the occurrence of sliding bifurcations admitted by
the memristive Murali-Lakshmanan-Chua circuit \cite{icha13} and the memristive
driven Chua oscillator \citep{icha11}. Both of these circuits have a
flux-controlled active memristor designed by the authors in 2011, as their
non-linear element. The three segment piecewise-linear characteristic of this
memristor bestows on the circuits two discontinuity boundaries, dividing their
phase spaces into three sub-regions. For proper choice of parameters, these
circuits take on a degree of smoothness equal to one at each of their two
discontinuities, thereby causing them to behave as \textit{Filippov} systems.
Sliding bifurcations, which are characteristic of Filippov systems, arise when
the periodic orbits in each of the sub-regions, interact with the discontinuity
boundaries, giving rise to many interesting dynamical phenomena. The numerical
simulations are carried out after incorporating proper zero time discontinuity
mapping (ZDM) corrections. These are found to agree well with the experimental
observations which we report here appropriately.
