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Sussillo D, Abbott LF (2009) Generating coherent patterns of activity from chaotic neural networks. Neuron 63:544-57 [PubMed]

   Generating coherent patterns of activity from chaotic neural networks (Sussillo and Abbott 2009)

References and models cited by this paper

References and models that cite this paper

Abarbanel HD, Creveling DR, Jeanne JM (2008) Estimation of parameters in nonlinear systems using balanced synchronization. Phys Rev E Stat Nonlin Soft Matter Phys 77:016208 [Journal] [PubMed]

Amit DJ, Brunel N (1997) Model of global spontaneous activity and local structured activity during delay periods in the cerebral cortex. Cereb Cortex 7:237-52 [PubMed]

Atiya AF, Parlos AG (2000) New results on recurrent network training: unifying the algorithms and accelerating convergence. IEEE Trans Neural Netw 11:697-709 [Journal] [PubMed]

Bertschinger N, Natschläger T (2004) Real-time computation at the edge of chaos in recurrent neural networks. Neural Comput 16:1413-36 [Journal] [PubMed]

Brunel N (2000) Dynamics of networks of randomly connected excitatory and inhibitory spiking neurons. J Physiol Paris 94:445-63 [PubMed]

Buonomano DV, Maass W (2009) State-dependent computations: spatiotemporal processing in cortical networks. Nat Rev Neurosci 10:113-25 [Journal] [PubMed]

Buonomano DV, Merzenich MM (1995) Temporal information transformed into a spatial code by a neural network with realistic properties. Science 267:1028-30 [PubMed]

Churchland MM, Shenoy KV (2007) Temporal complexity and heterogeneity of single-neuron activity in premotor and motor cortex. J Neurophysiol 97:4235-57 [Journal] [PubMed]

Churchland MM, Shenoy KV (2007) Delay of movement caused by disruption of cortical preparatory activity. J Neurophysiol 97:348-59 [Journal] [PubMed]

Churchland MM, Yu BM, Ryu SI, Santhanam G, Shenoy KV (2006) Neural variability in premotor cortex provides a signature of motor preparation. J Neurosci 26:3697-712 [Journal] [PubMed]

Doya K (1992) Bifurcations in the learning of recurrent neural networks Ieee International Symposium On Circuits And Systems 6:2777-2780

Fetz EE (1992) Are movement parameters recognizably coded in the activity of single neurons? Behav Brain Sci 15:679-690

Ganguli S, Huh D, Sompolinsky H (2008) Memory traces in dynamical systems. Proc Natl Acad Sci U S A 105:18970-5 [Journal] [PubMed]

Haykin S (2002) Adaptive filter theory (4th ed)

Hinton GE, Osindero S, Teh YW (2006) A fast learning algorithm for deep belief nets. Neural Comput 18:1527-54 [Journal] [PubMed]

Jaeger H (2003) Adaptive nonlinear system identification with echo state networks Advances in neural information processing systems, Becker S:Thrun S:Obermayer K, ed. pp.593

Jaeger H, Haas H (2004) Harnessing nonlinearity: predicting chaotic systems and saving energy in wireless communication. Science 304:78-80 [Journal] [PubMed]

Maass W, Joshi P, Sontag ED (2007) Computational aspects of feedback in neural circuits. PLoS Comput Biol 3:e165 [Journal] [PubMed]

   Computational aspects of feedback in neural circuits (Maass et al 2006) [Model]

Maass W, Natschläger T, Markram H (2002) Real-time computing without stable states: a new framework for neural computation based on perturbations. Neural Comput 14:2531-60 [Journal] [PubMed]

Miall RC, Weir DJ, Wolpert DM, Stein JF (1993) Is the cerebellum a smith predictor? J Mot Behav 25:203-16 [Journal] [PubMed]

Molgedey L, Schuchhardt J, Schuster HG (1992) Suppressing chaos in neural networks by noise. Phys Rev Lett 69:3717-3719 [Journal] [PubMed]

Pearlmutter B (1989) Learning state space trajectories in recurrent neural networks Neural Comput 1:263-269

Robinson DA (1992) Implications of neural networks for how we think about brain function Behav And Brain Sci 15:644-655

Rumelhart D, Mccleland J (1986) Parallel Distributed Processing

Rumelhart DE, Hinton GE, Williams RJ (1986) Learning internal representations by error propagation Parallel Distributed Processing, Rumelhart DE:McClelland JL, ed. pp.318

Sompolinsky H, Crisanti A, Sommers HJ (1988) Chaos in random neural networks. Phys Rev Lett 61:259-262 [Journal] [PubMed]

Strogatz SH, Herbert DE (1994) Nonlinear Dynamics and Chaos

Sussillo D (2009) Learning in chaotic recurrent networks PhD thesis :93-102

Taylor GW, Hinton GE, Roweis S (2006) Modeling human motion using binary latent variables Advances in Neural Information Processing Systems 19:1370-1378

van Vreeswijk C, Sompolinsky H (1996) Chaos in neuronal networks with balanced excitatory and inhibitory activity. Science 274:1724-6 [PubMed]

Williams RJ, Zipser D (1989) A learning algorithm for continually running fully recurrent neural networks Neural Comput 1:270-280

Yuste R, MacLean JN, Smith J, Lansner A (2005) The cortex as a central pattern generator. Nat Rev Neurosci 6:477-83 [Journal] [PubMed]

Bayati M, Neher T, Melchior J, Diba K, Wiskott L, Cheng S (2018) Storage fidelity for sequence memory in the hippocampal circuit. PLoS One 13:e0204685 [Journal] [PubMed]

Maes A, Barahona M, Clopath C (2020) Learning spatiotemporal signals using a recurrent spiking network that discretizes time. PLoS Comput Biol 16:e1007606 [Journal] [PubMed]

   Learning spatiotemporal sequences using recurrent spiking NN that discretizes time (Maes et al 2020) [Model]

Rössert C, Dean P, Porrill J (2015) At the Edge of Chaos: How Cerebellar Granular Layer Network Dynamics Can Provide the Basis for Temporal Filters. PLoS Comput Biol 11:e1004515 [Journal] [PubMed]

   Basis for temporal filters in the cerebellar granular layer (Roessert et al. 2015) [Model]

Stroud JP, Porter MA, Hennequin G, Vogels TP (2018) Motor primitives in space and time via targeted gain modulation in cortical networks. Nat Neurosci 21:1774-1783 [Journal] [PubMed]

   Modelling gain modulation in stability-optimised circuits (Stroud et al 2018) [Model]

Wilson CJ, Beverlin B, Netoff T (2011) Chaotic desynchronization as the therapeutic mechanism of deep brain stimulation. Front Syst Neurosci 5:50 [Journal] [PubMed]

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