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Global Hopf bifurcation analysis on a BAM neural network with delays |
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| Authors: | Chengjun Sun Maoan Han Xiaoming Pang |
| Affiliation: | aDepartment of Mathematics, Shanghai Normal University, Shanghai 200234, China bDepartment of Civil Engineering, School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China |
| Abstract: | A delayed differential equation that models a bidirectional associative memory (BAM) neural network with four neurons is considered. By using a global Hopf bifurcation theorem for FDE and a Bendixon's criterion for high-dimensional ODE, a group of sufficient conditions for the system to have multiple periodic solutions are obtained when the sum of delays is sufficiently large. |
| Keywords: | Neural network Global Hopf bifurcation Additive compound matrix |
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