scholarly journals Nonlinear analysis of periodic waves in a neural field model

2020 ◽  
Vol 30 (8) ◽  
pp. 083144
Author(s):  
S. Budzinskiy ◽  
A. Beuter ◽  
V. Volpert
Keyword(s):  
Nonlinear Analysis ◽  
Field Model ◽  
Neural Field ◽  
Periodic Waves ◽  
Neural Field Model

scholarly journals Dynamics of Periodic Waves in a Neural Field Model

2020 ◽  
Author(s):  
Nikolai Bessonov ◽  
Anne Beuter ◽  
Sergei Trofimchuk ◽  
Vitaly Volpert
Keyword(s):  
Time Delay ◽  
Field Model ◽  
Travelling Waves ◽  
Neural Field ◽  
Nonlocal Interaction ◽  
Periodic Waves ◽  
External Stimulation ◽  
Wave Dynamics ◽  
Neural Field Model ◽  
Visual Motor

Periodic travelling 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 influence of asymmetric connectivity functions and of time delay on the emergence of periodic waves and on their properties. Nonlinear wave dynamics is 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.

scholarly journals Dynamics of Periodic Waves in a Neural Field Model

Mathematics ◽  
2020 ◽  
Vol 8 (7) ◽  
pp. 1076
Author(s):  
Nikolai Bessonov ◽  
Anne Beuter ◽  
Sergei Trofimchuk ◽  
Vitaly Volpert
Keyword(s):  
Time Delay ◽  
Field Model ◽  
Neural Field ◽  
Nonlocal Interaction ◽  
Periodic Waves ◽  
External Stimulation ◽  
Wave Dynamics ◽  
Periodic Traveling Waves ◽  
Neural Field Model ◽  
Visual Motor

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.

scholarly journals Effect of localized input on bump solutions in a two-population neural-field model

2013 ◽  
Vol 14 (2) ◽  
pp. 997-1025 ◽  
Author(s):  
Muhammad Yousaf ◽  
John Wyller ◽  
Tom Tetzlaff ◽  
Gaute T. Einevoll
Keyword(s):  
Field Model ◽  
Neural Field ◽  
Neural Field Model

scholarly journals Plastic systemic inhibition controls amplitude while allowing phase pattern in a stochastic neural field model

2021 ◽  
Vol 103 (3) ◽  
Author(s):  
Conor L. Morrison ◽  
Priscilla E. Greenwood ◽  
Lawrence M. Ward
Keyword(s):  
Field Model ◽  
Neural Field ◽  
Phase Pattern ◽  
Neural Field Model

Spots: Breathing, Drifting and Scattering in a Neural Field Model

Neural Fields ◽  
2014 ◽  
pp. 187-211 ◽  
Author(s):  
Stephen Coombes ◽  
Helmut Schmidt ◽  
Daniele Avitabile
Keyword(s):  
Field Model ◽  
Neural Field ◽  
Neural Field Model

scholarly journals Effect of Alpha-Type External Input on Annihilation of Self-Sustained Activity in a Two Population Neural Field Model

IEEE Access ◽  
2019 ◽  
Vol 7 ◽  
pp. 108411-108418
Author(s):  
Zeeshan Afzal ◽  
Muhammad Yousaf Bhatti ◽  
Naima Amin ◽  
Asif Mushtaq ◽  
Chahn Yong Jung
Keyword(s):  
Field Model ◽  
External Input ◽  
Neural Field ◽  
Neural Field Model ◽  
Sustained Activity ◽  
Alpha Type
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