Numerical Investigation of the Two-Dimensioaln Neural Field Equation with Delay

2015 ◽  
Author(s):  
Pedro M. Lima ◽  
Evelyn Buckwar
Keyword(s):  
Field Equation ◽  
Numerical Investigation ◽  
Neural Field ◽  
Equation With Delay ◽  
Neural Field Equation

Localized radial bumps of a neural field equation on the Euclidean plane and the Poincaré disc

Nonlinearity ◽  
2013 ◽  
Vol 26 (2) ◽  
pp. 437-478 ◽  
Author(s):  
Grégory Faye ◽  
James Rankin ◽  
David J B Lloyd
Keyword(s):  
Field Equation ◽  
Euclidean Plane ◽  
Neural Field ◽  
Neural Field Equation

scholarly journals VALLEY INSTANTON IN THE GAUGE-HIGGS SYSTEM

1996 ◽  
Vol 11 (01) ◽  
pp. 43-54 ◽  
Author(s):  
HIDEAKI AOYAMA ◽  
TOSHIYUKI HARANO ◽  
MASATOSHI SATO ◽  
SHINYA WADA
Keyword(s):  
Field Equation ◽  
Numerical Investigation ◽  
Ad Hoc ◽  
Higgs Doublet ◽  
Mathematical Formalism ◽  
Collective Coordinate ◽  
Eigen Mode

The instanton configuration in the SU(2)-gauge system with a Higgs doublet is constructed by using the new valley method. This method defines the configuration by an extension of the field equation and allows the exact conversion of the quasi-zero eigen-mode to a collective coordinate. It does not require ad hoc constraints used in the current constrained instanton method and provides a better mathematical formalism than the constrained instanton method. The resulting instanton, which we call “valley instanton”, is shown to have the desirable behaviors. The result of the numerical investigation is also presented.

scholarly journals Numerical investigation of a neural field model including dendritic processing

2020 ◽  
Vol 7 (2) ◽  
pp. 271-290
Author(s):  
Daniele Avitabile ◽  
◽  
Stephen Coombes ◽  
Pedro M. Lima ◽  
◽  
...  
Keyword(s):  
Numerical Investigation ◽  
Field Model ◽  
Neural Field ◽  
Neural Field Model ◽  
Dendritic Processing
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