A gradient flow formulation for the stochastic Amari neural field model
Author:
Funder
Volkswagen Foundation
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Agricultural and Biological Sciences (miscellaneous),Modelling and Simulation
Link
http://link.springer.com/content/pdf/10.1007/s00285-019-01393-w.pdf
Reference76 articles.
1. Achleitner F, Kuehn C (2015) On bounded positive stationary solutions for a nonlocal Fisher-KPP equation. Nonlinear Anal Theory Methods Appl 112:15–29
2. Amari S (1977) Dynamics of pattern formation in lateral-inhibition type neural fields. Biol Cybern 27:77–87
3. Ambrosio L, Gigli N, Savaré G (2006) Gradient flows: in metric spaces and in the space of probability measures. Birkhäuser, Basel
4. Bachmair C, Schöll E (2014) Nonlocal control of pulse propagation in excitable media. Eur Phys J B 87(11):276
5. Barbu V, Da Prato G (2006) Ergodicity for nonlinear stochastic equations in variational formulation. Appl Math Optim 53(2):121–139
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