Abstract
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.
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