Analysis of stability and bifurcations of fixed points and periodic solutions of a lumped model of neocortex with two delays

• Published in: Journal of mathematical neuroscience Vol. 2; no. 1; p. 8
• Main Authors: Visser, Sid, Meijer, Hil GE, van Putten, Michel JAM, van Gils, Stephan A
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 25.04.2012; Springer Nature B.V; BioMed Central Ltd; Springer
• Subjects: Applications of Mathematics; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Neurosciences; Bifurcation Diagram; Periodic Solution; Hopf Bifurcation; Period Doubling Bifurcation; Stability Region

A lumped model of neural activity in neocortex is studied to identify regions of multi-stability of both steady states and periodic solutions. Presence of both steady states and periodic solutions is considered to correspond with epileptogenesis. The model, which consists of two delay differential e...