Document Type

Article

Publication Date

1-1-2018

Publication Title

PLoS One

Keywords

JMG, Electronics, Fuzzy Logic, Nonlinear Dynamics

JAX Source

PLoS One . 2018 Dec 21;13(12):e0209037

Volume

13

Issue

12

First Page

0209037

Last Page

0209037

ISSN

1932-6203

PMID

30576323

DOI

10.1371/journal.pone.0209037

Grant

This research was supported by an ONR Grant N00014-16-1-3056 to WD. The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.

Abstract

Certain nonlinear systems can switch between dynamical attractors occupying different regions of phase space, under variation of parameters or initial states. In this work we exploit this feature to obtain reliable logic operations. With logic output 0/1 mapped to dynamical attractors bounded in distinct regions of phase space, and logic inputs encoded by a very small bias parameter, we explicitly demonstrate that the system hops consistently in response to an external input stream, operating effectively as a reliable logic gate. This system offers the advantage that very low-amplitude inputs yield highly amplified outputs. Additionally, different dynamical variables in the system yield complementary logic operations in parallel. Further, we show that in certain parameter regions noise aids the reliability of logic operations, and is actually necessary for obtaining consistent outputs. This leads us to a generalization of the concept of Logical Stochastic Resonance to attractors more complex than fixed point states, such as periodic or chaotic attractors. Lastly, the results are verified in electronic circuit experiments, demonstrating the robustness of the phenomena. So we have combined the research directions of Chaos Computing and Logical Stochastic Resonance here, and this approach has potential to be realized in wide-ranging systems.

Comments

This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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