Complex dynamics in Memristive micro/nano beam resonators incorporating Josephson junctions

• A novel NEMS model is proposed using a memristor and Josephson Junction. • The system exhibits complex dynamics including chaos and multistability. • Stability and attractors are analyzed via Lyapunov exponents and bifurcation diagrams. • Realistic PSPICE simulations validate the theoretical circuit design. • Potential applications in neuromorphic computing and secure communications This work focuses on the emergence of chaos in a nonlinear memristive NEMS (Nano Electro-Mechanical System) actuated by two-sided electrodes based on a Josephson junction (JJ). Nanoelectromechanical systems (NEMS) are devices that integrate electrical and mechanical functions at the nanoscale. These components enable the conversion of one form of energy into another, allowing for rapid and precise measurements. A comprehensive dynamical analysis is conducted using standard indicators, such as bifurcation diagrams, to highlight critical transitions and the nature of electrical neuronal activities. Relevant tools are employed to assess the system’s stability, providing detailed insights into its operation and the overall behavior of the coupling. Additionally, complex and diverse routes to chaos have been identified. Local Lyapunov exponents with strongly interwoven attractors further confirm the presence of multistability. The PSpice implementation is carried out to demonstrate the feasibility of NEMS in real-world applications. This study makes a significant contribution to understanding the behavior of MEMS by proposing a framework for designing a nano-mechanical system with tunable frequency and nonlinear properties.