Route to logical strange nonchaotic attractors with single periodic force and noise

TL;DR

This paper demonstrates that strange nonchaotic attractors (SNAs) can be generated in periodically driven nonlinear systems with a single periodic force and noise, expanding their known occurrence beyond quasiperiodic systems.

Contribution

It introduces a novel method to create robust SNAs using noise in simple periodic systems, addressing an open question in nonlinear dynamics.

Findings

SNAs can be induced by noise in periodically driven systems.

Robust SNAs can emulate logical elements under perturbations.

The approach broadens the understanding of conditions for SNA formation.

Abstract

Strange nonchaotic attractors (SNAs) have been identified and studied in the literature exclusively in quasiperiodically driven nonlinear dynamical systems. It is an interesting question to ask whether they can be identified with other types of forcings as well, which still remains as an open problem. Here, we show that robust SNAs can be created by a small amount of noise in periodically driven nonlinear dynamical systems by a single force. The robustness of these attractors is tested by perturbing the system with logical signals leading to the emulation of different logical elements in the SNA regions.