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

References and models cited by this paper

References and models that cite this paper

Bak P, Tang C, Wiesenfeld K (1987) Self-organized criticality: An explanation of the 1/f noise. Phys Rev Lett 59:381-384 [Journal] [PubMed]

Bak P, Tang C, Wiesenfeld K (1988) Self-organized criticality. Phys Rev A Gen Phys 38:364-374 [PubMed]

Bornholdt S, Röhl T (2003) Self-organized critical neural networks. Phys Rev E Stat Nonlin Soft Matter Phys 67:066118 [Journal] [PubMed]

Bornholdt S, Rohlf T (2000) Topological evolution of dynamical networks: global criticality from local dynamics. Phys Rev Lett 84:6114-7 [Journal] [PubMed]

Boyd S, Chua LO (1985) Fading memory and the problem of approximating nonlinear operators with Volterra series IEEE Trans Circuits Syst 32:1150-1161

Derrida B (1987) Dynamical phase transition in non-symmetric spin glasses J Phys A Math Gen 20:721-725

Derrida B, Pomeau Y (1986) Rom networks of automata: A simple annealed approximation Europhys Lett 1:45-52

Derrida B, Weisbuch G (1986) Evolution of overlaps between configurations in random Boolean networks J Physique 47:1297

Hertz J, Krogh A, Palmer RG (1991) Introduction to the Theory of Neural Computation.

Jaeger H (2002) Tutorial on training recurrent neural networks, covering BPPT, RTRL,EKF and the echo state network approach Tech Rep 159 German National Research Center for Information Technology

Kauffman SA (1993) The origins of order: Self-organization and selection in evolution

Langton CG (1990) Computation at the edge of chaos: Phase transitions and emergent computation Physica D 42:12-37

Luque B, Sole R (2000) Lyapunov exponents in random boolean networks Physica A 284:33-45

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]

Mitchell M, Hraber P, Crutchfield J (1993) Revisiting the edge of chaos: Evolving cellular automata to perform computations Complex Systems 7:89-130

Natschlager T, Maass W (2004) Information dynamics and emergent computation in recurrent circuits of spiking neurons Advances in neural information processing systems (Available online:, Thrun S:Saul L:Scholkopf B, ed. pp.1255

Packard N (1988) Adaptation towards the edge of chaos Dynamic patterns in complex systems, Kelso JAS:Mandell AJ:Shlesinger MF, ed. pp.293

Rohlf T, Bornholdt S (2002) Criticality in random threshold networks:annealed approximation and beyond Physica A 310:245-259

Samuelides M, Doyon B, Cessac B, Quoy M, Dauce E (1998) Self-organization and dynamics reduction in recurrent networks: stimulus presentation and learning. Neural Netw 11:521-533

Siu KY, Roychowdhury V, Kailath T (1995) Discrete neural computation; A theoretical foundation

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

Durstewitz D, Gabriel T (2007) Dynamical basis of irregular spiking in NMDA-driven prefrontal cortex neurons. Cereb Cortex 17:894-908 [Journal] [PubMed]

   Irregular spiking in NMDA-driven prefrontal cortex neurons (Durstewitz and Gabriel 2006) [Model]

Horcholle-Bossavit G, Quenet B, Foucart O (2007) Oscillation and coding in a formal neural network considered as a guide for plausible simulations of the insect olfactory system. Biosystems 89:244-56 [Journal] [PubMed]

   Oscillation and coding in a proposed NN model of insect olfaction (Horcholle-Bossavit et al. 2007) [Model]

Kaiser M, Hilgetag CC (2010) Optimal hierarchical modular topologies for producing limited sustained activation of neural networks Front. Neuroinform. [Journal]

   Network topologies for producing limited sustained activation (Kaiser and Hilgetag 2010) [Model]

Nowotny T, Szücs A, Levi R, Selverston AI (2007) Models wagging the dog: are circuits constructed with disparate parameters? Neural Comput 19:1985-2003 [Journal] [PubMed]

Ozturk MC, Xu D, Príncipe JC (2007) Analysis and design of echo state networks. Neural Comput 19:111-38 [Journal] [PubMed]

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

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

Triesch J (2007) Synergies between intrinsic and synaptic plasticity mechanisms. Neural Comput 19:885-909 [Journal] [PubMed]

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