Memristive circuits with steady-state mixed-mode oscillations

Two dual memristive circuits are presented, the steady-state responses of which are periodic sequences of mixed-mode oscillations (MMOs) of type L₁^S1L₂^S2...L_n^sn where L_k and s_k are integers for k = 1, 2, ...n. The L_k and s_k are the numbers of large- and small-amplitude oscillations, or LAOs and SAOs, respectively. This new feature of memristive circuits is illustrated through several MMO responses, all with the pinched hysteresis characteristics for both LAOs and SAOs. The mode-locking phenomenon for MMOs is also discussed. The MMO sequences depend on initial conditions and parameters of the circuits.