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)'.
Recommended Citation
Murali K,
Rajasekar S,
Aravind M,
Kohar V,
Ditto W,
Sinha S.
Construction of logic gates exploiting resonance phenomena in nonlinear systems. Philos Trans A Math Phys Eng Sci 2021 Mar 8; 379(2192):20200238