| contributor author | Xiaochen Mao | |
| contributor author | Haiyan Hu | |
| date accessioned | 2017-05-09T00:36:44Z | |
| date available | 2017-05-09T00:36:44Z | |
| date copyright | October, 2010 | |
| date issued | 2010 | |
| identifier issn | 1555-1415 | |
| identifier other | JCNDDM-25733#041001_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/142696 | |
| description abstract | This paper reveals the dynamical behaviors of a bidirectional neural network consisting of four neurons with delayed nearest-neighbor and shortcut connections. The criterion of the global asymptotic stability of the trivial equilibrium of the network is derived by means of a suitable Lyapunov functional. The local stability of the trivial equilibrium is investigated by analyzing the distributions of roots of the associated characteristic equation. The sufficient conditions for the existence of nontrivial synchronous and asynchronous equilibria and periodic oscillations arising from codimension one bifurcations are obtained. Multistability near the codimension two bifurcation points is presented. Numerical simulations are given to validate the theoretical analysis. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Stability and Bifurcation Analysis of a Network of Four Neurons With Time Delays | |
| type | Journal Paper | |
| journal volume | 5 | |
| journal issue | 4 | |
| journal title | Journal of Computational and Nonlinear Dynamics | |
| identifier doi | 10.1115/1.4000317 | |
| journal fristpage | 41001 | |
| identifier eissn | 1555-1423 | |
| keywords | Stability | |
| keywords | Bifurcation | |
| keywords | Networks AND Delays | |
| tree | Journal of Computational and Nonlinear Dynamics:;2010:;volume( 005 ):;issue: 004 | |
| contenttype | Fulltext | |
