Citation Relationships

Lou X, Cui B (2007) Boundedness and stability for integrodifferential equations modeling neural field with time delay. Neural Comput 19:570-81 [PubMed]

References and models cited by this paper

References and models that cite this paper

Amari SI (1990) Mathematical foundations of neurocomputation Proc IEEE Neural Networks 78:1443-1463

Amari SI (1991) Mathematical theory of neural learning New Generation Computing 8:281-294

Arik S (2000) Stability analysis of delayed neural networks IEEE Trans Circ Syst 47:1089-1092

Cao J, Wang J (2003) Global asymptotic stability of a general class of recurrent neural networks with time-varying delays IEEE Trans Circ Syst 50:34-44

Cao J, Wang J (2004) Absolute exponential stability of recurrent neural networks with Lipschitz-continuous activation functions and time delays. Neural Netw 17:379-90 [Journal] [PubMed]

Cao JD (2000) Global exponential stability and existence of periodic solutions of delayed CNNs Sci China 30:541-549

Cao JD (2001) A set of stability criteria for delayed cellular neural networks IEEE Trans Circ Syst 48:494-498

Cao JD (2001) Global stability conditions for delayed CNNS IEEE Trans Circ Syst 48:1330-1333

Chen T, Amari SI (2001) Stability of asymmetric Hopfield networks. IEEE Trans Neural Netw 12:159-63 [Journal] [PubMed]

Cremers D, Herz AV (2002) Traveling waves of excitation in neural field models: equivalence of rate descriptions and integrate-and-fire dynamics. Neural Comput 14:1651-67 [Journal] [PubMed]

Cui BT, Lou XY (2006) Global asymptotic stability of BAM neural networks with distributed delays and reaction-diffusion terms Chaos, Solitions, and Fractals 27:1347-1354

Daleckii JL, Krein MG (1974) Stability of solutions of differential equations in Banach space

Hopfield JJ (1984) Neurons with graded response have collective computational properties like those of two-state neurons. Proc Natl Acad Sci U S A 81:3088-92 [PubMed]

Jirsa VK, Jantzen KJ, Fuchs A, Kelso JAS (2001) Neural field dynamics on the folded three-dimensional cortical sheet and its forward EEG and MEG Information Processing in Medical Imaging :286-299

Liao X, Chen G, Sanchez EN (2002) LMI-based approach for asymptotically stability analysis of delayed neural networks IEEE Trans Circ Syst 49:1033-1039

Liley DTJ, Cadusch PJ, Wright JJ (1999) A continuum theory of electro-cortical activity Neurocomputing 26:795-800

Lou XY, Cui BT (2006) Absolute exponential stability analysis of delayed bi-directional associative memory neural networks Chaos, Solitons, and Fractals 31:695-701

Lou XY, Cui BT (2006) New LMI conditions for delay-dependent asymptotic stability of delayed Hopfield neural networks Neurocomputing 69:2374-2378

Lu W, Chen T (2006) Dynamical Behaviors of Delayed Neural Network Systems with Discontinuous Activation Functions Neural Comput 18:683-708

Luo SW, Wen JW, Huang H (2002) Knowledge-increasable learning behaviors research of neural field Proc 1st Intl Conf Mach Learn Cybern :586-590

Roska T, Chua LO (1992) Cellular neural networks with nonlinear and delay type template Int J Circuit Theory Appl 20:469-481

Shi ZZ, Huang YP, Zhang J (2004) Neural field model for perceptual learning 3rd IEEE Intl Conf Cogn Informatics :192-198

Wilde PD (1997) Neural network models

Yang H, Dillon TS (1994) Exponential stability and oscillation of Hopfield graded response neural network. IEEE Trans Neural Netw 5:719-29 [Journal] [PubMed]

Yoshida K (1980) Functional analysis

Zeng Z, Wang J (2006) Multiperiodicity and exponential attractivity evoked by periodic external inputs in delayed cellular neural networks. Neural Comput 18:848-70 [Journal] [PubMed]

Zhang HB, Li CG, Liao XF (2005) A note on the robust stability of neural networks with time delay Chaos, Solitons And Fractals 25:357-360

Zhang Q, Wei XP, Xu J (2005) On global exponential stability of delayed cellular neural networks with time-varying delays Appl Math Comp 162:679-686

(28 refs)