Realization of logic gates in bi-directionally coupled nonlinear oscillators

Author:

Deshaka S.1ORCID,Sathish Aravindh M.234ORCID,Arun R.2ORCID,Venkatesan A.1ORCID,Lakshmanan M.2ORCID

Affiliation:

1. PG & Research Department of Physics, Nehru Memorial College (Autonomous), Affiliated to Bharathidasan University 1 , Puthanampatti, Tiruchirappalli 621 007, India

2. Department of Nonlinear Dynamics, School of Physics, Bharathidasan University 2 , Tiruchirappalli 620 024, India

3. Department of Aerospace Engineering, Indian Institute of Technology Madras 3 , Chennai 600036, India

4. Centre for Excellence for Studying Critical Transitions in Complex Systems, Indian Institute of Technology Madras 4 , Chennai 600036, India

Abstract

Implementation of logic gates has been investigated in nonlinear dynamical systems from various perspectives over the years. Specifically, logic gates have been implemented in both single nonlinear systems and coupled nonlinear oscillators. The majority of the works in the literature have been done on the evolution of single oscillators into OR/AND or NOR/NAND logic gates. In the present study, we demonstrate the design of logic gates in bi-directionally coupled double-well Duffing oscillators by applying two logic inputs to the drive system alone along with a fixed bias. The nonlinear system, comprising both bi-directional components, exhibits varied logic behaviors within an optimal range of coupling strength. Both attractive and repulsive couplings yield similar and complementary logic behaviors in the first and second oscillators. These couplings play a major role in exhibiting fundamental and universal logic gates in simple nonlinear systems. Under a positive bias, both the first and second oscillators demonstrate OR logic gate for the attractive coupling, while exhibiting OR and NOR logic gates, respectively, for the repulsive coupling. Conversely, under a negative bias, both the first and second oscillators display AND logic gate for the attractive coupling, and AND and NAND logical outputs for the repulsive coupling. Furthermore, we confirm the robustness of the bi-directional oscillators against moderate noise in maintaining the desired logical outputs.

Funder

Department of Science and Technology, Ministry of Science and Technology, India

Science and Engineering Research Board

Publisher

AIP Publishing

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