Hopf bifurcation and stability analysis on discrete-time Hopfield neural network with delay

Cao, 2001, Global exponential stability of Hopfield neural networks, Int. J. Systems Sci., 32, 233, 10.1080/00207720117783 Cao, 2004, An estimation of the domain of attraction and convergence rate for Hopfield continuous feedback neural networks, Phys. Lett. A, 325, 370, 10.1016/j.physleta.2004.04.009 Cao, 2006, Stability in Cohen-Grossberg-type bidirectional associative memory neural networks with time-varying delays, Nonlinearity, 19, 1601, 10.1088/0951-7715/19/7/008 Cao, 2006, Global point dissipativity of neural networks with mixed time-varying delays, Chaos, 16, 01310, 10.1063/1.2126940 Gopalsamy, 1994, Stability in asymmetric Hopfield neural networks with transmission delay. Physica D, 76, 344 K. Gopalsamy, P. Liu, Dynamics of a hysteretic neuron model, Nonlinear Anal. Real World Appl. 8 (2007) 375–398. Hopfield, 1982, Neural networks and physical systems with emergent collective computations abilities, Proc. Natl. Acad. USA, 79, 2554, 10.1073/pnas.79.8.2554 Kuznetsov, 1998 Mohamad, 2002, Discrete-time analogues of integrodifferential equations modelling bidirectional neural networks, J. Comput. Appl. Math., 138, 1, 10.1016/S0377-0427(01)00366-1 Ren, 2006, LMI-based criteria for stability of high-order neural networks with time-varying delay, Nonlinear Anal. Real World Appl., 7, 967, 10.1016/j.nonrwa.2005.09.001 Stuart, 1996 Xu, 2001, Invariant and attracting sets of Hopfield neural networks with delay, Int. J. Syst. Sci, 32, 863, 10.1080/00207720117561 Xu, 2001, Global dynamics of Hopfield neural networks involving variable delays, Comput. Math. Appl., 42, 39, 10.1016/S0898-1221(01)00128-6 Yu, 2006, Stability and Hopf bifurcation analysis on a four-neuron BAM neural network with time delays, Phys. Lett. A, 351, 64, 10.1016/j.physleta.2005.10.056 Yuan, 2004, Stability and bifurcation analysis on a discrete-time system of two neurons, Appl. Math. Lett., 17, 1239, 10.1016/j.aml.2004.03.004 Yuan, 2005, Stability and bifurcation analysis on a discrete-time neural network, J. Comput. Appl. Math., 177, 89, 10.1016/j.cam.2004.09.010