Strange nonchaotic attractors for computation

M. Sathish Aravindh, A. Venkatesan, and M. Lakshmanan
Phys. Rev. E 97, 052212 – Published 21 May 2018

Abstract

We investigate the response of quasiperiodically driven nonlinear systems exhibiting strange nonchaotic attractors (SNAs) to deterministic input signals. We show that if one uses two square waves in an 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 logical behavior, and the emergent outcome of such a system is a logic gate. It is further shown that the logical behaviors persist even for an experimental noise floor. Thus the SNA turns out to be an efficient tool for computation.

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  • Received 20 February 2018
  • Revised 3 May 2018

DOI:https://doi.org/10.1103/PhysRevE.97.052212

©2018 American Physical Society

Physics Subject Headings (PhySH)

Nonlinear Dynamics

Authors & Affiliations

M. Sathish Aravindh1,2,*, A. Venkatesan1,†, and M. Lakshmanan2,‡

  • 1PG and Research Department of Physics, Nehru Memorial College (Autonomous), Puthanampatti, Tiruchirappalli 621 007, India
  • 2Centre for Nonlinear Dynamics, School of Physics, Bharathidasan University, Tiruchirappalli 620 024, India

  • *sathisharavindhm@gmail.com
  • av.phys@gmail.com
  • lakshman.cnld@gmail.com

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Issue

Vol. 97, Iss. 5 — May 2018

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