Dynamics of periodicwaves in a neural field model

Periodic traveling waves are observed in various brain activities, including visual, motor, language, sleep, and so on. There are several neural field models describing periodic waves assuming nonlocal interaction, and possibly, inhibition, time delay or some other properties. In this work we study the influences of asymmetric connectivity functions and of time delay for symmetric connectivity functions on the emergence of periodic waves and their properties. Nonlinear wave dynamics are studied, including modulated and aperiodic waves. Multiplicity of waves for the same values of parameters is observed. External stimulation in order to restore wave propagation in a damaged tissue is discussed. © 2020 by the authors.

Authors
Bessonov N.1 , Beuter A.2, 3 , Trofimchuk S.4 , Volpert V. 5, 6, 7
Journal
Publisher
MDPI AG
Number of issue
7
Language
English
Status
Published
Number
1076
Volume
8
Year
2020
Organizations
  • 1 Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, Saint Petersburg, 199178, Russian Federation
  • 2 Bordeaux INP, Avenue des Facultes, Talence, 33400, France
  • 3 CorStim SAS, 700 Avenue du Pic Saint Loup, Montpellier, 34090, France
  • 4 Instituto de Matematica y Fisica, Universidad de Talca, Casilla, Talca, 747, Chile
  • 5 Institut Camille Jordan, UMR 5208 CNRS, University Lyon 1, Villeurbanne, 69622, France
  • 6 INRIA Team Dracula, INRIA Lyon La Doua, Villeurbanne, 69603, France
  • 7 Peoples' Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, Moscow, 117198, Russian Federation
Keywords
Brain stimulation; Integro-differential equation; Neural field model; Waves
Date of creation
02.11.2020
Date of change
02.11.2020
Short link
https://repository.rudn.ru/en/records/article/record/64610/
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