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Realization of logic gates in bi-directionally coupled nonlinear oscillators.

S Deshaka1, M Sathish Aravindh2,3,4, R Arun2

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

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Summary

This study implements logic gates using coupled nonlinear oscillators. Bi-directional coupling in Duffing oscillators enables OR, AND, NOR, and NAND logic gate functionalities, demonstrating robustness against noise.

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Area of Science:

  • Nonlinear Dynamics
  • Chaos Theory
  • Computational Physics

Background:

  • Logic gate implementation in nonlinear dynamical systems is an active research area.
  • Previous work primarily focused on single oscillators or unidirectional coupling.
  • Limited exploration exists for bi-directionally coupled systems exhibiting diverse logic behaviors.

Purpose of the Study:

  • To design and demonstrate logic gates (OR, AND, NOR, NAND) in bi-directionally coupled double-well Duffing oscillators.
  • To investigate the influence of coupling strength and bias on logic gate performance.
  • To confirm the system's robustness against external noise.

Main Methods:

  • Utilized bi-directionally coupled double-well Duffing oscillators.
  • Applied two logic inputs to the drive system with a fixed bias.
  • Analyzed system behavior across varying coupling strengths (attractive and repulsive).
  • Introduced moderate noise to assess output stability.

Main Results:

  • Bi-directional coupling enables fundamental logic gate operations (OR, AND, NOR, NAND).
  • Attractive and repulsive couplings induce complementary logic behaviors in coupled oscillators.
  • Specific logic gate outputs (OR, AND, NOR, NAND) are achieved by tuning bias and coupling.
  • The system maintains desired logical outputs under moderate noise conditions.

Conclusions:

  • Bi-directionally coupled Duffing oscillators are effective platforms for implementing universal logic gates.
  • Coupling strength and bias are critical parameters for controlling logic functions.
  • The proposed system demonstrates resilience and potential for reliable nonlinear computing applications.