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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.

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Implementing and morphing Boolean gates with adaptive synchronization: The case of spiking neurons

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

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

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Resumen

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.

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