Title

Construction of logic gates exploiting resonance phenomena in nonlinear systems.

Document Type

Article

Publication Date

3-8-2021

Publication Title

Philos Trans A Math Phys Eng Sci

Keywords

JMG

JAX Source

Philos Trans A Math Phys Eng Sci 2021 Mar 8; 379(2192):20200238

Volume

379

Issue

2192

First Page

20200238

Last Page

20200238

ISSN

1471-2962

PMID

33455552

DOI

https://doi.org/10.1098/rsta.2020.0238

Abstract

A two-state system driven by two inputs has been found to consistently produce a response mirroring a logic function of the two inputs, in an optimal window of moderate noise. This phenomenon is called logical stochastic resonance (LSR). We extend the conventional LSR paradigm to implement higher-level logic architecture or typical digital electronic structures via carefully crafted coupling schemes. Further, we examine the intriguing possibility of obtaining reliable logic outputs from a noise-free bistable system, subject only to periodic forcing, and show that this system also yields a phenomenon analogous to LSR, termed Logical Vibrational Resonance (LVR), in an appropriate window of frequency and amplitude of the periodic forcing. Lastly, this approach is extended to realize morphable logic gates through the Logical Coherence Resonance (LCR) in excitable systems under the influence of noise. The results are verified with suitable circuit experiments, demonstrating the robustness of the LSR, LVR and LCR phenomena. This article is part of the theme issue 'Vibrational and stochastic resonance in driven nonlinear systems (part 1)'.

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