Độ ổn định độc lập với độ trễ của mạng nơron phản ứng khuếch tán ngẫu nhiên với các điều kiện biên Dirichlet

Grossberg S (1988) Nonlinear neural networks: principles, mechanisms and architectures. Neural Netw 1:17–61 Liao X, Waong K, Leung SC, Wu Z (2001) Hopfield bifurcation and chaos in a single delayed neuron equation with non-monotonic activation function. Chaos Solitons Fractals 12:1535–1547 Arik S (2002) An analysis of global asymptotic stability of delayed cellular neural networks. IEEE Trans Neural Netw 13:1239–1242 Cao J (2001) Global stability conditions for delayed CNNs. Circuits Syst I 48:1330–1333 Chen T, Amari S (2001) Stability of asymmetric Hopfield networks. IEEE Trans Neural Netw 12:159–163 Chen W, Guan Z, Lu X (2004) Delay-dependent exponential stability of neural networks with variable delays. Phys Lett A 326:355–363 Cohen MA, Grossberg S (1983) Absolute stability of global pattern formation and parallel memory storage by competitive neural networks. IEEE Trans Syst Man Cybern 13:815–826 Song Q, Cao J, Zhao Z (2006) Periodic solutions and its exponential stability of reaction–diffusion recurrent neural networks with continuously distributed delays. Nonlinear Anal Real World Appl 7:65–80 Haykin S (1994) Neural networks. Prentice-Hall, Englewood Cliffs Song Q, Cao J (2005) Global exponential stability and existence of periodic solutions in BAM networks with delays and reactionCdiffusion terms. Chaos Solitons Fractals 23:421–430 Zhao Y, Wang G (2005) Existence of periodic oscillatory solution of reaction–diffusion neural networks with delays. Phys Lett A 343:372–383 Liang J, Cao J (2003) Global exponential stability of reaction–diffusion recurrent neural networks with time-varying delays. Phys Lett A 314:434–442 Wang L, Gao Y (2006) Global exponential robust stability of reactionCdiffusion interval neural networks with time-varying delays. Phys Lett A 350:342–348 Wang L, Xu D (2003) Asymptotic behavior of a class of reactionCdiffusion equations with delays. Math Anal Appl 281:439–453 Zhao Z, Song Q, Zhang J (2006) Exponential periodicity and stability of neural networks with reaction–diffusion terms and both variable and unbounded delays. Comput Math Appl 51:475–486 Lu J (2008) Global exponential stability and periodicity of reaction–diffusion delayed recurrent neural networks with Dirichlet boundary conditions. Chaos, Solitons Fractals 35:116–125 Arnold L (1972) Stochastic differential equations: theory and applications. Wiley, New York Hu J, Zhong S, Liang L (2006) Exponential stability of stochastic delayed cellular neural networks. Chaos, Solitions Fractals 27:1006–1010 Mao X (1997) Stochastic differential equations and applications. Ellis Horwood, Chichester Karatzas I, Shreve SE (1991) Brownian motion and stochastic calculus, 2nd edn. Springer, Berlin Lu J, Lu L (2007) Global exponential stability and periodicity of reaction–diffusion recurrent neural networks with distributed delays and Dirichlet boundary conditions. Chaos, solitons Fractals. doi:10.1016/j.chaos.2007.06.040 Yang H, Chu T (2007) LMI conditions for the stability of neural networks with distributed delays. Chaos Solitons Fractals 34:557–563 Song Q, Cao J (2006) Stability analysis of Cohen-Grossberg neural networks with both time-varying and continuously distributed delays. Comput Appl Math 197:188–203 Zhang J (2003) Global exponential stability of neural networks with variable delays. IEEE Trans Circuits Syst I 50:288–290