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

Year: 2025

Authors: Ginoux J.M., Concas R., Pugliese E., Meucci R., Chua L.O.

Autors Affiliation: Aix Marseille Univ, Univ Toulon, CNRS, LIS, F-83041 Toulon, France; Ist Nazl Ric Metrolog, I-50019 Sesto Fiorentino, Florence, Italy; Ist Nazl Ott CNR INO, I-50125 Florence, Italy; CNR INO, I-50125 Florence, Italy; Univ Calif Berkeley, EECS Dept, Berkeley, CA 94720 USA.

Abstract: 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.

Journal/Review: IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS

KeyWords: Mathematical models; Integrated circuit modeling; Oscillators; Memristors; Computational modeling; Numerical models; Eigenvalues and eigenfunctions; Analytical models; Electronic circuits; Current-voltage characteristics; Chaos; electronic circuits; FPAA; memristor circuits; spice simulations; Van der Pol
DOI: 10.1109/TCSI.2025.3569412