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

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  • Yang, J.
  • Primo, E.
  • Aleja, D.
  • Criado, R.
  • Boccaletti, S.
  • Alfaro-Bittner, K.

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.

Suggested Citation

  • Yang, J. & Primo, E. & Aleja, D. & Criado, R. & Boccaletti, S. & Alfaro-Bittner, K., 2022. "Implementing and morphing Boolean gates with adaptive synchronization: The case of spiking neurons," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    • Handle: RePEc:eee:chsofr:v:162:y:2022:i:c:s0960077922006580
    DOI: 10.1016/j.chaos.2022.112448
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    3. Massimiliano Zanin & Francisco Del Pozo & Stefano Boccaletti, 2011. "Computation Emerges from Adaptive Synchronization of Networking Neurons," PLOS ONE, Public Library of Science, vol. 6(11), pages 1-6, November.
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