Strange nonchaotic attractors for computation

TL;DR

This paper demonstrates that strange nonchaotic attractors in quasiperiodically driven nonlinear systems can be harnessed to perform logical operations and memory functions, suggesting a novel approach to computation using nonlinear dynamics.

Contribution

It introduces a method to implement logic gates and memory latch using SNAs in a quasiperiodically driven Duffing oscillator, highlighting their potential for computation.

Findings

SNAs can produce logical outputs controlled by input signals.

Logical behaviors persist even with experimental noise.

SNAs serve as efficient tools for computation.

Abstract

We investigate the response of quasiperiodically driven nonlinear systems exhibiting strange non- chaotic attractors (SNAs) to deterministic input signals. We show that if one uses two square waves in aperiodic manner as input to a quasiperiodically driven double-well Duffing oscillator system, the response of the system can produce logical output controlled by such a forcing. Changing the threshold or biasing of the system changes the output to another logic operation and memory latch. The interplay of nonlinearity and quasiperiodic forcing yields logic behaviour and the emergent out- come of such a system is a logic gate. It is further shown that the logical behaviours persist even for experimental noise floor. Thus the SNA turns out to be an efficient tool for computation.