Instabilities in attractor networks with fast synaptic fluctuations and partial updating of the neurons activity

Neural Networks

Volumn 21, Issue 9, 2008, Pages 1272-1277

  Torres, J J ^a   Marro, J ^a   Cortes, J M ^b   Wemmenhove, B ^c  

^a UNIVERSITY OF GRANADA   (Spain)

^b UNIVERSITY OF EDINBURGH   (United Kingdom)

^c RADBOUD UNIVERSITY NIJMEGEN   (Netherlands)

Author keywords

Atractor neural networks; Chaotic itinerancy among attractors; Partial updating of neurons

Indexed keywords

NETWORK PROTOCOLS; NEURONS; SENSOR NETWORKS;

ATRACTOR NEURAL NETWORKS; ATTRACTOR NETWORKS; CHAOTIC; CHAOTIC ITINERANCY AMONG ATTRACTORS; EXTERNAL STIMULUS; PARTIAL UPDATING OF NEURONS; SEARCHING;

NEURAL NETWORKS;

ARTICLE; ARTIFICIAL NEURAL NETWORK; AUTOMATION; CALCULATION; CHAOS THEORY; MATHEMATICAL ANALYSIS; PRIORITY JOURNAL;

ALGORITHMS; HUMANS; MODELS, NEUROLOGICAL; MODELS, STATISTICAL; NEURAL NETWORKS (COMPUTER); NEURONS; NONLINEAR DYNAMICS; SYNAPSES;

EID: 54449101810     PISSN: 08936080     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.neunet.2008.07.002     Document Type: Article

References (38)

1. Abbott L.F., and Kepler T.B. Model neurons: From hodgkin-huxley to hopfield. Lecture Notes in Physics 368 (1990) 5-18
2. Abbott L.F., and Regehr W.G. Synaptic computation. Nature 431 (2004) 796-803
3. Abbott L.F., Varela J.A., Sen K., and Nelson S.B. Synaptic depression and cortical gain control. Science 275 (1997) 220-224
4. Amit D.J. Modeling brain function: The world of attractor neural networks (1989), Cambridge University Press
5. Ashwin P., and Timme M. Nonlinear dynamics: when instability makes sense. Nature 436 (2005) 36-37
6. Azouz R., and Gray C.M. Dynamic spike threshold reveals a mechanism for synaptic coincidence detection in cortical neurons in vivo. Proceedings of National Academy of Science USA 97 (2000) 8110-8115
7. Bibitchkov D., Herrmann J.M., and Geisel T. Pattern storage and processing in attractor networks with short-time synaptic dynamics. Network: Computation in Neural Systems 13 (2002) 115-129
8. Caroppo D., Mannarelli M., Nardulli G., and Stramaglia S. Chaos in neural networks with a nonmonotonic transfer function. Physical Review E 60 (1999) 2186-2192
9. Chialvo D.R. Are our senses critical?. Nature Physical Science 2 (2006) 301-302
10. Chopard B., and Droz M. Cellular Automata Modeling of Physical Systems (1998), Cambridge University Press
11. Cook D.L., Schwindt P.C., Grande L.A., and Spain W.J. Synaptic depression in the localization of sound. Nature 421 (2003) 66-70
12. Cortes J.M., Torres J.J., Marro J., Garrido P.L., and Kappen H.J. Effects of Fast Presynaptic Noise in Attractor Neural Networks. Neural Compuation 18 (2006) 614-633
13. Dobrunz l.E., and Stevens C.F. Heterogeneity of release probability, facilitation and depletion at central synapses. Neuron 18 (1997) 995-1008
14. Dominguez R.R.C., and Theumann W. Generalization and chaos in a layered neural network. Journal of Physics A: Mathematical and Generation 30 (1997) 1403-1414
15. Eckmann J.P., and Ruelle D. Ergodic theory of chaos and strange attractors. Review of Modern Physics 57 (1985) 617-656
16. Egorov A.V., Hamam B.N., Fransén E., Hasselmo M.E., and Alonso A.A. Graded persistent activity in entorhinal cortex neurons. Nature 420 (2002) 173-178
17. Eguiluz V., Cecchi G., Chialvo D.R., Baliki M., and Apkarian A.V. Scale-free brain functional networks. Physical Review Letters 94 (2005) 018102
18. Ferster D. Is neural noise just a nuisance?. Science 273 (1996) 1812-1815
19. Glass L. Chaos in biological systems. In: Arbib M.A. (Ed). Handbook of Brain Theory and Neural Networks (2002), MIT Press 205
20. Herz A.V.M., and Marcus C.M. Distributed dynamics in neural networks. Physical Review E 47 (1993) 2155-2161
21. Hopfield J.J. Neural networks and physical systems with emergent collective computational abilities. Proceedings of National Academy of Science USA 79 (1982) 2554-2558
22. Korn H., and Faure P. Is there chaos in the brain? ii. Experimental evidence and related models. Comptes Rendus Biologies 326 (2003) 787-840
23. LeBeau F.E., Manira A.E., and Griller S. Tuning the network: Modulation of neuronal microcircuits in the spinal cord and hippocampus. Trends in Neuroscience 28 (2005) 552-561
24. Marro J., and Dickman R. Nonequilibrium phase transitions in lattice models (1999), Cambridge University Press
25. Marro J., Torres J.J., and Cortes J.M. Chaotic hopping between attractors in neural automata. Neural Networks 20 (2007) 230-235
26. Mazor O., and Laurent G. Transient dynamics versus fixed points in odor representations by locust antennal lobe projection neurons. Neuron 48 (2005) 661-673
27. Olshausen B.A., and Field D.J. Sparse coding of sensory inputs. Current Opinion in Neurobiology 14 (2004) 481-487
28. Pantic L., Torres J., and Kappen H. Coincidence detection with dynamic synapses. Network: Computation in Neural Systems 14 (2003) 17-33
29. Pantic L., Torres J.J., Kappen H.J., and Gielen S.C.A.M. Associative memory with dynamic synapses. Neural Computation 14 (2002) 2903-2923
30. Rabinovich M., Volkovskii A., Lecanda P., Huerta R., Abarbanel H., and Laurent G. Dynamical encoding by networks of competing neuron groups: Winnerless competition. Physical Review Letters 87 (2001) 068102
31. Shoham S., O'Connor D.H., and Segev R. How silent is the brain: Is there a Dark Matter problem in neuroscience?. Journal of Comparative Physiology A 192 (2006) 777-784
32. Thomson A.M., Bannister A., Mercer A., and Morris O. Target and temporal pattern selection at neocortical synapses. Philosophical Transactions of the Royal Society London. B Biological Science 357 (2002) 1781-1791
33. Thomson A.M., and Deuchars J. Temporal and spatial properties of local circuits in neocortex. Trends in Neuroscience 17 (1994) 119-126
34. Torres J.J., Cortes J.M., Marro J., and Kappen H.J. Competition between synaptic depression and facilitation in attractor neural networks. Neural Compuation 19 (2007) 2739-2755
35. Torres J.J., Muñoz M.A., Marro J., and Garrido P.L. Influence of topology on the performance of a neural network. Neurocomputing 58 (2004) 229-234
36. Torres J.J., Pantic L., and Kappen H.J. Storage capacity of attractor neural networks with depressing synapses. Physical Review E 66 (2002) 061910
37. Tsodyks M., Pawelzik K., and Markram H. Neural networks with dynamic synapses. Neural Compuation 10 (1998) 821-835
38. Wagenaar D.A., Nadasdy Z., and Potter S.M. Persistent dynamic attractors in activity patterns of cultured neuronal networks. Physical Review E 73 (2006) 051907