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.
Implementing and morphing Boolean gates with adaptive synchronization: The case of spiking neurons
Boccaletti, S.;
2022
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.| Campo DC | Valore | Lingua |
|---|---|---|
| dc.authority.ancejournal | CHAOS, SOLITONS AND FRACTALS | en |
| dc.authority.orgunit | Istituto dei Sistemi Complessi - ISC | en |
| dc.authority.people | Yang, J. | en |
| dc.authority.people | Primo, E. | en |
| dc.authority.people | Aleja, D. | en |
| dc.authority.people | Criado, R. | en |
| dc.authority.people | Boccaletti, S. | en |
| dc.authority.people | Alfaro-Bittner, K. | en |
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| dc.date.accessioned | 2025/01/22 15:08:41 | - |
| dc.date.available | 2025/01/22 15:08:41 | - |
| dc.date.firstsubmission | 2025/01/22 14:43:33 | * |
| dc.date.issued | 2022 | - |
| dc.date.submission | 2025/01/22 14:43:33 | * |
| dc.description.abstracteng | 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. | - |
| dc.description.allpeople | Yang, J.; Primo, E.; Aleja, D.; Criado, R.; Boccaletti, S.; Alfaro-Bittner, K. | - |
| dc.description.allpeopleoriginal | Yang, J.; Primo, E.; Aleja, D.; Criado, R.; Boccaletti, S.; Alfaro-Bittner, K. | en |
| dc.description.fulltext | restricted | en |
| dc.description.numberofauthors | 6 | - |
| dc.identifier.doi | 10.1016/j.chaos.2022.112448 | en |
| dc.identifier.isi | WOS:000843864100008 | - |
| dc.identifier.scopus | 2-s2.0-85136187001 | en |
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| dc.identifier.uri | https://hdl.handle.net/20.500.14243/529682 | - |
| dc.identifier.url | https://www.sciencedirect.com/science/article/abs/pii/S0960077922006580 | en |
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| dc.relation.numberofpages | 6 | en |
| dc.relation.volume | 162 | en |
| dc.subject.keywords | Boolean logical gates | - |
| dc.subject.keywords | Dynamical systems | - |
| dc.subject.keywords | Spiking neurons | - |
| dc.subject.keywords | Synchronization | - |
| dc.subject.singlekeyword | Boolean logical gates | * |
| dc.subject.singlekeyword | Dynamical systems | * |
| dc.subject.singlekeyword | Spiking neurons | * |
| dc.subject.singlekeyword | Synchronization | * |
| dc.title | Implementing and morphing Boolean gates with adaptive synchronization: The case of spiking neurons | en |
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| Appare nelle tipologie: | 01.01 Articolo in rivista | |
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