From Relaxation to Chaotic Oscillations: A New Paradigm for Memristor Circuits

A new paradigmatic model, only containing a cubic nonlinearity and enabling to describe a continuous transition from Van der Pol’s relaxation to Chua’s chaotic oscillations is proposed. The corresponding electronic oscillator that perfectly fits the model is analyzed and validated by two different approaches including Spice simulations and an implementation based on a Field-Programmable Analog Array (FPAA) platform. The perfect agreement between theory and experimental results confirms the ability of this model for modeling chaos both theoretically and experimentally. The new chaotic and relaxation oscillator has the typical characteristics of both the Van der Pol and Chua memristors circuits.