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Stability and bifurcation analysis on adiscrete-time system of two neurons
- Source :
-
Applied Mathematics Letters . Nov2004, Vol. 17 Issue 11, p1239-1245. 7p. - Publication Year :
- 2004
-
Abstract
- Abstract: We consider a discrete-time system modelling a network of two neurons. The situationwith self-connections is addressed in terms of stability and bifurcation analysis. Choosing an appropriate bifurcation parameter, we prove that the Neimark-Sacker bifurcation occurs when the bifurcation parameter exceeds a critical value. The direction and stability of bifurcation are determined by the normal form theory and center manifold theorem. Results of some computer simulations are displayed graphically. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 08939659
- Volume :
- 17
- Issue :
- 11
- Database :
- Academic Search Index
- Journal :
- Applied Mathematics Letters
- Publication Type :
- Academic Journal
- Accession number :
- 17324714
- Full Text :
- https://doi.org/10.1016/j.aml.2004.03.004