Hopf bifurcation in Cohen–Grossberg neural network with distributed delays

Attracting and invariant sets of impulsive delay Cohen–Grossberg neural networks

“…The dynamical behaviors of CGNNs with constant delays or time-varying delays or distributed delays have been studied extensively; see Refs. [1][2][3][4][5][6]. Besides delay effects, impulsive effects are also likely to exist in the neural network system.…”

Dynamical Behavior in a Four-Dimensional Neural Network Model with Delay

“…For more information, one can see [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23]. In 1986 and 1987, Babcock and Westervelt [24,25] had analyzed the stability and dynamics of the following simple neural network model of two neurons with inertial coupling: 4 , dx 3 dt = −2ξx 3 …”

New global exponential stability result to a general Cohen–Grossberg neural networks with multiple delays

“…However, to the best of our knowledge, only a few of authors [20,27,28] discussed the stability of twodimensional CGNNS model. As is well known, the studies on neural dynamical system not only involve a discussion of stability properties of one-dimensional Cohen-Grossberg neural networks (CGNNS) (or onedimensional other neural systems [31][32][33][34]), but also involve the discussion of stability properties of twodimensional Cohen-Grossberg neural networks (or two-dimensional other neural systems).…”

“…Therefore this motivates us to research stability properties of two-dimensional Cohen-Grossberg neural networks. Recently, Zhao and Wang [20] studied the stability and Hopf bifurcation of the following two neuron CGNNS model with distributed delays:…”