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Article

Dynamic Processes in a Superconducting Adiabatic Neuron with Non-Shunted Josephson Contacts

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Faculty of Physics, Lobachevsky State University of Nizhny Novgorod, 603950 Nizhny Novgorod, Russia
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Science and Research Department, Moscow Technical University of Communication and Informatics, 111024 Moscow, Russia
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Higher School of Economics, Russia National Research University, 101000 Moscow, Russia
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Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, 119991 Moscow, Russia
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Faculty of Physics, Lomonosov Moscow State University, 119991 Moscow, Russia
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Dukhov All-Russia Research Institute of Automatics, 101000 Moscow, Russia
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Moscow Institute of Physics and Technology, 141700 Dolgoprudny, Russia
*
Author to whom correspondence should be addressed.
Academic Editor: Boris Malomed
Symmetry 2021, 13(9), 1735; https://doi.org/10.3390/sym13091735
Received: 17 August 2021 / Revised: 13 September 2021 / Accepted: 14 September 2021 / Published: 18 September 2021
(This article belongs to the Special Issue Quantum Dynamics in Josephson Junctions and Symmetry)
We investigated the dynamic processes in a superconducting neuron based on Josephson contacts without resistive shunting (SC-neuron). Such a cell is a key element of perceptron-type neural networks that operate in both classical and quantum modes. The analysis of the obtained results allowed us to find the mode when the transfer characteristic of the element implements the “sigmoid” activation function. The numerical approach to the analysis of the equations of motion and the Monte Carlo method revealed the influence of inertia (capacitances), dissipation, and temperature on the dynamic characteristics of the neuron. View Full-Text
Keywords: artificial neural networks; nonlinear oscillator; Hamiltonian formalism; Josephson junction; superconducting quantum interferometer artificial neural networks; nonlinear oscillator; Hamiltonian formalism; Josephson junction; superconducting quantum interferometer
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MDPI and ACS Style

Bastrakova, M.; Gorchavkina, A.; Schegolev, A.; Klenov, N.; Soloviev, I.; Satanin, A.; Tereshonok, M. Dynamic Processes in a Superconducting Adiabatic Neuron with Non-Shunted Josephson Contacts. Symmetry 2021, 13, 1735. https://doi.org/10.3390/sym13091735

AMA Style

Bastrakova M, Gorchavkina A, Schegolev A, Klenov N, Soloviev I, Satanin A, Tereshonok M. Dynamic Processes in a Superconducting Adiabatic Neuron with Non-Shunted Josephson Contacts. Symmetry. 2021; 13(9):1735. https://doi.org/10.3390/sym13091735

Chicago/Turabian Style

Bastrakova, Marina, Anastasiya Gorchavkina, Andrey Schegolev, Nikolay Klenov, Igor Soloviev, Arkady Satanin, and Maxim Tereshonok. 2021. "Dynamic Processes in a Superconducting Adiabatic Neuron with Non-Shunted Josephson Contacts" Symmetry 13, no. 9: 1735. https://doi.org/10.3390/sym13091735

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