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Tang HJ, Tan KC, Zhang W (2005) Analysis of cyclic dynamics for networks of linear threshold neurons. Neural Comput 17:97-114 [PubMed]

References and models cited by this paper

References and models that cite this paper

Ben-Yishai R, Bar-Or RL, Sompolinsky H (1995) Theory of orientation tuning in visual cortex. Proc Natl Acad Sci U S A 92:3844-8 [PubMed]

Chua LO, Yang L (1988) Cellular neural networks: Theory IEEE Trans Circuits Systems 35:1257-1272

Douglas RJ, Koch C, Mahowald M, Martin KA, Suarez HH (1995) Recurrent excitation in neocortical circuits. Science 269:981-5 [PubMed]

Ellias SA, Grossberg S (1975) Pattern formation, contrast control, and oscillations in the short term memory of shunting on-center off-surround networks Biol Cybern 20:69-98

Ermentrout B (1992) Complex dynamics in winner-take-all neuralnets with slow inhibition Neural Networks 5:415-431

Feng J, Hadeler KP (1996) Qualitative behavior of some simple networks J Phys A 29:5019-5033

Forti M, Tesi A (1995) New conditions for global stability of neural networks with application to linear and quadratic programming problems IEEE Trans Circuits Systems 42:354-366

Hadeler KP, Kuhn D (1987) Stationary states of the Hartline-Ratliff model Biol Cybern 56:411-417

Hahnloser RH, Sarpeshkar R, Mahowald MA, Douglas RJ, Seung HS (2000) Digital selection and analogue amplification coexist in a cortex-inspired silicon circuit. Nature 405:947-51 [Journal] [PubMed]

Hahnloser RH, Seung HS, Slotine JJ (2003) Permitted and forbidden sets in symmetric threshold-linear networks. Neural Comput 15:621-38 [Journal] [PubMed]

Hahnloser RL (1998) On the piecewise analysis of networks of linear threshold neurons. Neural Netw 11:691-697 [PubMed]

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]

Perko L (2001) Differential equations and dynamical systems

Sebastian Seung H (1998) Continuous attractors and oculomotor control. Neural Netw 11:1253-1258 [PubMed]

Wersing H, Beyn WJ, Ritter H (2001) Dynamical stability conditions for recurrent neural networks with unsaturating piecewise linear transfer functions. Neural Comput 13:1811-25 [Journal] [PubMed]

Wersing H, Steil JJ, Ritter H (2001) A competitive-layer model for feature binding and sensory segmentation. Neural Comput 13:357-87 [PubMed]

Xie X, Hahnloser RH, Seung HS (2002) Selectively grouping neurons in recurrent networks of lateral inhibition. Neural Comput 14:2627-46 [Journal] [PubMed]

Yi Z, Tan KK, Lee TH (2003) Multistability analysis for recurrent neural networks with unsaturating piecewise linear transfer functions. Neural Comput 15:639-62 [Journal] [PubMed]

Zhang Z, Ding T, Huang W, Dong Z (1992) Qualitative theory of differential equations (WK Leung, transl)

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