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The Bogdanov-Takens bifurcation study of 2 m coupled neurons system with $2m+1$ delays.
- Source :
-
Advances in Difference Equations . 10/24/2015, Vol. 2015 Issue 1, p1-14. 14p. - Publication Year :
- 2015
-
Abstract
- In this paper the Bogdanov-Takens (BT) bifurcation of an 2 m coupled neurons network model with multiple delays is studied, where one neuron is excitatory and the next is inhibitory. When the origin of the model has a double zero eigenvalue, by using center manifold reduction of delay differential equations (DDEs), the second-order and third-order universal unfoldings of the normal forms are deduced, respectively. Some bifurcation diagrams and numerical simulations are presented to verify our main results. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 16871839
- Volume :
- 2015
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Advances in Difference Equations
- Publication Type :
- Academic Journal
- Accession number :
- 110525135
- Full Text :
- https://doi.org/10.1186/s13662-015-0646-9