Synchronization of relaxational self-oscillating systems: Synchronization in neural networks
- Authors: Mazurov M.E.1
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Affiliations:
- Plekhanov Russian University of Economics
- Issue: Vol 82, No 1 (2018)
- Pages: 73-77
- Section: Proceedings of the XVI A.P. Sukhorukov National Seminar “The Physics and Applications of Microwaves” (“Waves-2017”)
- URL: https://journals.rcsi.science/1062-8738/article/view/185283
- DOI: https://doi.org/10.3103/S1062873818010161
- ID: 185283
Cite item
Abstract
A general problem of the synchronization and mutual synchronization of relaxational self-oscillating systems is formulated. A direct way of describing the synchronization of relaxational systems on the basis of Kronecker’s inequalities is proposed. The solution to the problem formulated by N. Wiener and A. Rosenbluth of forming a single rhythm in a system of coupled relaxational oscillators is described. Specific transient processes in the synchronization of relaxational systems are considered. Burst synchronization in neural networks and synchronization in distributed relaxational systems are also described.
About the authors
M. E. Mazurov
Plekhanov Russian University of Economics
Author for correspondence.
Email: mazurov37@mail.ru
Russian Federation, Moscow, 117997
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