Fold-Hopf bifurcation in a simplified four-neuron BAM (bidirectional associative memory) neural network with two delays |
| |
Authors: | GE JuHong & XU Jian School of Aerospace Engineering Applied Mechanics Tongji University Shanghai China |
| |
Affiliation: | GE JuHong & XU Jian School of Aerospace Engineering , Applied Mechanics,Tongji University,Shanghai 200092,China |
| |
Abstract: | The bidirectional associative memory (BAM) neural network with four neurons and two delays is considered in the present paper. A linear stability analysis for the trivial equilibrium is firstly employed to provide a possible critical point at which a zero and a pair of pure imaginary eigenvalues occur in the corresponding characteristic equation. A fold-Hopf bifurcation is proved to happen at this critical point by the nonlinear analysis. The coupling strength and the delay are considered as bifurcation par... |
| |
Keywords: | codimension-two bifurcation time delay solution classification unfolding centre manifold |
本文献已被 CNKI 等数据库收录! |