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Authors would like to thank Massimiliano Zanin, David Papo, Irene Sendina-Nadal, and Zhang Shenggui for many inspiring discussions. J. Y. acknowledges support from China Scholarship Council (No. 202106290085). Work partially supported by projects PGC2018101625-B-I00 (Spanish Ministry, AEI/FEDER, UE) and M1993 (URJC Grant). The usage of the resources, technical expertise, and assistance provided by the supercomputer facility CRESCO of ENEA in Portici (Italy) is also acknowledged.

Analysis of institutional authors

Primo, EAuthorAleja, DCorresponding AuthorCriado, RAuthorBoccaletti, SAuthorAlfaro-Bittner, KAuthor
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Implementing and morphing Boolean gates with adaptive synchronization: The case of spiking neurons

Publicated to:Chaos Solitons & Fractals. 162 (112448): 112448- - 2022-09-01 162(112448), DOI: 10.1016/j.chaos.2022.112448

Authors: Yang, J; Primo, E; Aleja, D; Criado, R; Boccaletti, S; Alfaro-Bittner, K

Affiliations

CNR, Inst Complex Syst, Via Madonna Piano 10, I-50019 Sesto Fiorentino, Italy - Author
Inst Phys & Technol, Moscow 141701, Russia - Author
Northwestern Polytech Univ, Unmanned Syst Res Inst, Xian 710072, Shaanxi, Peoples R China - Author
Univ Rey Juan Carlos, Calle Tulipan S-N, Mostoles 28933, Madrid, Spain - Author
Univ Rey Juan Carlos, Data Complex Networks & Cybersecur Res Inst, Madrid 28028, Spain - Author
Univ Rey Juan Carlos, Lab Math Computat Complex Networks & their Applica, Calle Tulipan S-N, Mostoles 28933, Madrid, Spain - Author
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Abstract

Boolean logic is the paradigm through which modern computation is performed in silica. When nonlinear dynamical systems are interacting in a directed graph, we show that computation abilities emerge spontaneously from adaptive synchronization, which actually can emulate Boolean logic. Precisely, we demonstrate that a single dynamical unit, a spiking neuron modeled by the Hodgkin-Huxley model, can be used as the basic computational unit for realizing all the 16 Boolean logical gates with two inputs and one output, when it is coupled adaptively in a way that depends on the synchronization level between the two input signals. This is realized by means of a set of parameters, whose tuning offers even the possibility of constructing a morphing gate, i.e., a logical gate able to switch efficiently from one to another of such 16 Boolean gates. Extensive simulations demonstrate the efficiency and the accuracy of the proposed computational paradigm.

Keywords
Adaptive synchronizationsBoolean gateBoolean logicBoolean logical gateBoolean logical gatesComputation abilityComputation theoryComputational unitsComputer circuitsDirected graphsDynamical systemsHodgkin-huxley modelsLogical gatesMorphingNonlinear dynamical systemsSilicaSpiking neuronesSpiking neuronsSynchronization

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal Chaos Solitons & Fractals due to its progression and the good impact it has achieved in recent years, according to the agency WoS (JCR), it has become a reference in its field. In the year of publication of the work, 2022, it was in position 1/56, thus managing to position itself as a Q1 (Primer Cuartil), in the category Physics, Mathematical. Notably, the journal is positioned above the 90th percentile.

Independientemente del impacto esperado determinado por el canal de difusión, es importante destacar el impacto real observado de la propia aportación.

Según las diferentes agencias de indexación, el número de citas acumuladas por esta publicación hasta la fecha 2025-05-06:

  • WoS: 1
  • Scopus: 1
  • OpenCitations: 1
Impact and social visibility

It is essential to present evidence supporting full alignment with institutional principles and guidelines on Open Science and the Conservation and Dissemination of Intellectual Heritage. A clear example of this is:

  • The work has been submitted to a journal whose editorial policy allows open Open Access publication.
Leadership analysis of institutional authors

This work has been carried out with international collaboration, specifically with researchers from: China; Italy; Russia.

There is a significant leadership presence as some of the institution’s authors appear as the first or last signer, detailed as follows: First Author () and Last Author (Alfaro Bittner, Karin Patricia).

the author responsible for correspondence tasks has been González de la Aleja Gallego, David.