Stability analysis of multimode oscillations in three coupled memristor-based circuits

In this paper, first we construct a simple flux-controlled memristor-based circuit. By means of the ladder-type circuits coupled with inductors, furthermore, the three mutually coupled memristor oscillator circuits are designed. We mainly discuss dynamical behavior of three coupled memristor-based circuits, i.e., investigate the stability of the zero, single, double and multimode oscillations. Based on Krylov-Bogoliubov linearization method, the stability of the multimode oscillation for such circuits is determined in detail. Finally, computer simulations are conducted to verify the correctness of theoretical results.