| Title |
Analysis of stability and bifurcations of fixed points and periodic solutions of a lumped model of neocortex with two delays
|
|---|---|
| Published in |
The Journal of Mathematical Neuroscience, April 2012
|
| DOI | 10.1186/2190-8567-2-8 |
| Pubmed ID | |
| Authors |
Sid Visser, Hil GE Meijer, Michel JAM van Putten, Stephan A van Gils |
| Abstract |
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 equations with two fixed time lags is mainly studied for its dependency on varying connection strength between populations. Equilibria are identified, and using linear stability analysis, all transitions are determined under which both trivial and non-trivial fixed points lose stability. Periodic solutions arising at some of these bifurcations are numerically studied with a two-parameter bifurcation analysis. |
Mendeley readers
The data shown below were compiled from readership statistics for 26 Mendeley readers of this research output. Click here to see the associated Mendeley record.
Geographical breakdown
| Country | Count | As % |
|---|---|---|
| United Kingdom | 1 | 4% |
| Netherlands | 1 | 4% |
| Brazil | 1 | 4% |
| Unknown | 23 | 88% |
Demographic breakdown
| Readers by professional status | Count | As % |
|---|---|---|
| Student > Ph. D. Student | 5 | 19% |
| Professor | 4 | 15% |
| Student > Master | 3 | 12% |
| Student > Bachelor | 2 | 8% |
| Student > Doctoral Student | 2 | 8% |
| Other | 7 | 27% |
| Unknown | 3 | 12% |
| Readers by discipline | Count | As % |
|---|---|---|
| Mathematics | 7 | 27% |
| Medicine and Dentistry | 4 | 15% |
| Neuroscience | 3 | 12% |
| Physics and Astronomy | 2 | 8% |
| Engineering | 2 | 8% |
| Other | 4 | 15% |
| Unknown | 4 | 15% |