A dynamical approach to generate chaos in a micromechanical resonator

TL;DR

This paper introduces a novel method to generate chaos in micromechanical resonators by modulating driving forces, enabling applications like true random number generation and advancing microstructure-based systems.

Contribution

The paper presents a disruptive, experimentally validated approach to induce chaos in micromechanical resonators through simple modulation techniques, overcoming previous control complexities.

Findings

Chaotic signals generated are validated by Poincaré sections and Lyapunov exponents.

The method is adaptable to various micro/nano-mechanical devices.

A microdiaphragm is transformed into a NIST-standard true random number generator.

Abstract

Chaotic systems, presenting complex and non-reproducible dynamics, may be found in nature from the interaction between planets to the evolution of the weather, but can also be tailored using current technologies for advanced signal processing. However, the realization of chaotic signal generators remains challenging, due to the involved dynamics of the underlying physics. In this paper, we experimentally and numerically present a disruptive approach to generate a chaotic signal from a micromechanical resonator. This technique overcomes the long-established complexity of controlling the buckling in micro/nano-mechanical structures by modulating either the amplitude or the frequency of the driving force applied to the resonator in the nonlinear regime. The experimental characteristic parameters of the chaotic regime, namely the Poincar\'e sections and Lyapunov exponents, are directly comparable to simulations for different configurations. These results confirm that this dynamical approach is transposable to any kind of micro/nano-mechanical resonators, from accelerometers to microphones. We demonstrate a direct application exploiting the mixing properties of the chaotic regime by transforming an off-the-shelf microdiaphragm into a true random number generator conformed to the National Institute of Standards and Technology specifications. The versatility of this original method opens new paths to combine chaos' unique properties with microstructures' exceptional sensitivity leading to emergent microsystems.