Hopf bifurcation in a general n-neuron ring network with n time delays
In this paper, we consider a general ring network consisting of n neurons and n time delays. By analyzing the associated characteristic equation, a classification according to n is presented. It is investigated that Hopf bifur-cation occurs when the sum of the n delays passes through a critical valu...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Ferdowsi University of Mashhad
2014-11-01
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| Series: | Iranian Journal of Numerical Analysis and Optimization |
| Subjects: | |
| Online Access: | https://ijnao.um.ac.ir/article_24432_e3ffe80f49324d2ada232629971141b5.pdf |
| Summary: | In this paper, we consider a general ring network consisting of n neurons and n time delays. By analyzing the associated characteristic equation, a classification according to n is presented. It is investigated that Hopf bifur-cation occurs when the sum of the n delays passes through a critical value.In fact, a family of periodic solutions bifurcate from the origin, while the zero solution loses its asymptotically stability. To illustrate our theoretical results, numerical simulation is given. |
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| ISSN: | 2423-6977 2423-6969 |