메뉴 건너뛰기




Volumn 27, Issue 1, 2009, Pages 65-80

Dynamics of recurrent neural networks with delayed unreliable synapses: Metastable clustering

Author keywords

Cluster; Integrate and fire neurons; Neural networks; Pulse coupled oscillators; Synchronization; Unreliable synapses

Indexed keywords

SYNCHRONIZATION;

EID: 68349155618     PISSN: 09295313     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10827-008-0127-1     Document Type: Article
Times cited : (24)

References (37)
  • 1
    • 22244458151 scopus 로고
    • Asynchronous states in networks of pulse-coupled oscillators
    • Abbott, L. F., & van Vreeswijk, C. (1993). Asynchronous states in networks of pulse-coupled oscillators. Physical Review E, 48(2), 1483-1490.
    • (1993) Physical Review E , vol.48 , Issue.2 , pp. 1483-1490
    • Abbott, L.F.1    van Vreeswijk, C.2
  • 5
    • 0030947941 scopus 로고    scopus 로고
    • Model of global spontaneous activity and local structured activity during delay periods in the cerebral cortex
    • Amit, D. J., & Brunel, N. (1997). Model of global spontaneous activity and local structured activity during delay periods in the cerebral cortex. Cerebral Cortex, 7, 237-252.
    • (1997) Cerebral Cortex , vol.7 , pp. 237-252
    • Amit, D.J.1    Brunel, N.2
  • 7
    • 0033180647 scopus 로고    scopus 로고
    • Mean-field theory of globally coupled integrate-and-fire neural oscillators with dynamic synapses
    • Bressloff, P. C. (1999). Mean-field theory of globally coupled integrate-and-fire neural oscillators with dynamic synapses. Physical Review E, 60(2), 2160-2170.
    • (1999) Physical Review E , vol.60 , Issue.2 , pp. 2160-2170
    • Bressloff, P.C.1
  • 8
    • 0034006515 scopus 로고    scopus 로고
    • Dynamics of sparsely connected networks of excitatory and inhibitory spiking neurons
    • Brunel, N. (2000). Dynamics of sparsely connected networks of excitatory and inhibitory spiking neurons. Journal of Computational Neuroscience, 8, 183-208.
    • (2000) Journal of Computational Neuroscience , vol.8 , pp. 183-208
    • Brunel, N.1
  • 9
    • 0033210816 scopus 로고    scopus 로고
    • Fast global oscillations in networks of integrate-and-fire neurons with low firing rates
    • Brunel, N., & Hakim, V. (1999). Fast global oscillations in networks of integrate-and-fire neurons with low firing rates. Neural Computation, 11(7), 1621-1671.
    • (1999) Neural Computation , vol.11 , Issue.7 , pp. 1621-1671
    • Brunel, N.1    Hakim, V.2
  • 10
    • 84912057909 scopus 로고    scopus 로고
    • New York: Oxford University Press
    • Buzsaki, G. (2006). Rhythms of the brain. New York: Oxford University Press.
    • (2006) Rhythms of the Brain
    • Buzsaki, G.1
  • 11
    • 0033518170 scopus 로고    scopus 로고
    • Stable propagation of synchronous spiking in cortical neural networks
    • Diesmann, M., Gewaltig, M., & Aertsen, A. (1999). Stable propagation of synchronous spiking in cortical neural networks. Nature, 402, 529-533.
    • (1999) Nature , vol.402 , pp. 529-533
    • Diesmann, M.1    Gewaltig, M.2    Aertsen, A.3
  • 12
    • 0000368783 scopus 로고
    • Synchronization induced by temporal delays in pulse-coupled oscillators
    • Ernst, U., Pawelzik, K., & Geisel, T. (1995). Synchronization induced by temporal delays in pulse-coupled oscillators. Physical Review Letters, 74(9), 1570-1573.
    • (1995) Physical Review Letters , vol.74 , Issue.9 , pp. 1570-1573
    • Ernst, U.1    Pawelzik, K.2    Geisel, T.3
  • 13
    • 24244469769 scopus 로고    scopus 로고
    • Delay-induced multistable synchronization of biological oscillators
    • Ernst, U., Pawelzik, K., & Geisel, T. (1998). Delay-induced multistable synchronization of biological oscillators. Physical Review E, 57(2), 2150-2162.
    • (1998) Physical Review E , vol.57 , Issue.2 , pp. 2150-2162
    • Ernst, U.1    Pawelzik, K.2    Geisel, T.3
  • 14
    • 0000788367 scopus 로고
    • Time structure of the activity in neural network models
    • Gerstner, W. (1995). Time structure of the activity in neural network models. Physical Review E, 51(1), 738-758.
    • (1995) Physical Review E , vol.51 , Issue.1 , pp. 738-758
    • Gerstner, W.1
  • 15
    • 0001654747 scopus 로고    scopus 로고
    • Rapid phase locking in systems of pulse-coupled oscillators with delays
    • Gerstner, W. (1996). Rapid phase locking in systems of pulse-coupled oscillators with delays. Physical Review Letters, 76(10), 1755-1758.
    • (1996) Physical Review Letters , vol.76 , Issue.10 , pp. 1755-1758
    • Gerstner, W.1
  • 17
    • 0028048720 scopus 로고
    • Synchronization properties of spindle oscillations in a thalamic reticular nucleus model
    • Golomb, D., Wang, X. J., & Rinzel, J. (1994). Synchronization properties of spindle oscillations in a thalamic reticular nucleus model. Journal of Neurophysiology, 72(3), 1109-1126.
    • (1994) Journal of Neurophysiology , vol.72 , Issue.3 , pp. 1109-1126
    • Golomb, D.1    Wang, X.J.2    Rinzel, J.3
  • 18
    • 33846478314 scopus 로고    scopus 로고
    • Dynamically maintained spike timing sequences in networks of pulse-coupled oscillators with delay
    • Gong, P. L., & van Leeuwen, H. (2007). Dynamically maintained spike timing sequences in networks of pulse-coupled oscillators with delay. Physical Review Letters, 98(4), 048104.
    • (2007) Physical Review Letters , vol.98 , Issue.4 , pp. 048104
    • Gong, P.L.1    van Leeuwen, H.2
  • 19
    • 38849132055 scopus 로고    scopus 로고
    • Stable irregular dynamics in complex neural networks
    • Jahnke, S., Memmesheimer, R. M., & Timme, M. (2008). Stable irregular dynamics in complex neural networks. Physical Review Letters, 100(4), 048102.
    • (2008) Physical Review Letters , vol.100 , Issue.4 , pp. 048102
    • Jahnke, S.1    Memmesheimer, R.M.2    Timme, M.3
  • 20
    • 33745839007 scopus 로고    scopus 로고
    • Multifractal distribution of spike intervals for two oscillators coupled by unreliable pulses
    • Kestler, J., & Kinzel, W. (2006). Multifractal distribution of spike intervals for two oscillators coupled by unreliable pulses. Journal of Physics A: Mathematical and General, 39, L461-L466.
    • (2006) Journal of Physics A: Mathematical and General , vol.39
    • Kestler, J.1    Kinzel, W.2
  • 21
    • 38549144196 scopus 로고    scopus 로고
    • On the stationary state of a network of inhibitory spiking neurons
    • Kinzel, W. (2008). On the stationary state of a network of inhibitory spiking neurons. Journal of Computational Neuroscience, 24, 105-112.
    • (2008) Journal of Computational Neuroscience , vol.24 , pp. 105-112
    • Kinzel, W.1
  • 22
    • 45549109207 scopus 로고    scopus 로고
    • Conditions for propagating synchronous spiking and asynchronous firing rates in a cortical network model
    • Kumar, A., Rotter, S., & Aertsen, A. (2008). Conditions for propagating synchronous spiking and asynchronous firing rates in a cortical network model. Journal of Neuroscience, 28, 5268-5280.
    • (2008) Journal of Neuroscience , vol.28 , pp. 5268-5280
    • Kumar, A.1    Rotter, S.2    Aertsen, A.3
  • 23
    • 0031059920 scopus 로고    scopus 로고
    • Bursts as a unit of neural information: Making unreliable synapses reliable
    • Lisman, J. E. (1997). Bursts as a unit of neural information: Making unreliable synapses reliable. Trends in Neurosciences, 20, 38-43.
    • (1997) Trends in Neurosciences , vol.20 , pp. 38-43
    • Lisman, J.E.1
  • 24
    • 0034218519 scopus 로고    scopus 로고
    • A model for fast analog computation based on unreliable synapses
    • Maass, W., & Natschläger, T. (2000). A model for fast analog computation based on unreliable synapses. Neural Computation, 12(7), 1679-1704.
    • (2000) Neural Computation , vol.12 , Issue.7 , pp. 1679-1704
    • Maass, W.1    Natschläger, T.2
  • 25
    • 0025567093 scopus 로고
    • Synchronization of pulse-coupled biological oscillators
    • Mirollo, R. E., & Strogatz, S. H. (1990). Synchronization of pulse-coupled biological oscillators. SIAM Journal on Applied Mathematics, 50(6), 1645-1662.
    • (1990) SIAM Journal on Applied Mathematics , vol.50 , Issue.6 , pp. 1645-1662
    • Mirollo, R.E.1    Strogatz, S.H.2
  • 26
    • 0027427564 scopus 로고
    • Nonuniform probability of glutamate release at a hippocampal synapse
    • Rosenmund, C., Clements, J., & Westbrook, G. (1993). Nonuniform probability of glutamate release at a hippocampal synapse. Science, 262, 754-757.
    • (1993) Science , vol.262 , pp. 754-757
    • Rosenmund, C.1    Clements, J.2    Westbrook, G.3
  • 27
    • 0035221593 scopus 로고    scopus 로고
    • An algorithm for modifying neurotransmitter release probability based on pre- and postsynaptic spike timing
    • Senn, W., Markram, H., & Tsodyks, M. (2001). An algorithm for modifying neurotransmitter release probability based on pre- and postsynaptic spike timing. Neural Computation, 13(1), 35-67.
    • (2001) Neural Computation , vol.13 , Issue.1 , pp. 35-67
    • Senn, W.1    Markram, H.2    Tsodyks, M.3
  • 28
    • 0347362917 scopus 로고    scopus 로고
    • Learning in spiking neural networks by reinforcement of stochastic synaptic transmission
    • Seung, H. S. (2003). Learning in spiking neural networks by reinforcement of stochastic synaptic transmission. Neuron 40(6), 1063-1073.
    • (2003) Neuron , vol.40 , Issue.6 , pp. 1063-1073
    • Seung, H.S.1
  • 29
    • 0028020340 scopus 로고
    • Changes in reliability of synaptic function as a mechanism for plasticity
    • Stevens, C. F., & Wang, Y. (1994). Changes in reliability of synaptic function as a mechanism for plasticity. Nature, 371, 704-707.
    • (1994) Nature , vol.371 , pp. 704-707
    • Stevens, C.F.1    Wang, Y.2
  • 30
    • 44949151576 scopus 로고    scopus 로고
    • The simplest problem in the collective dynamics of neural networks: Is synchrony stable?
    • Timme, M., & Wolf, F. (2008). The simplest problem in the collective dynamics of neural networks: Is synchrony stable? Nonlinearity 21, 1579-1599.
    • (2008) Nonlinearity , vol.21 , pp. 1579-1599
    • Timme, M.1    Wolf, F.2
  • 31
    • 18744405108 scopus 로고    scopus 로고
    • Coexistence of regular and irregular dynamics in complex networks of pulse-coupled oscillators
    • Timme, M., Wolf, F., & Geisel, T. (2002). Coexistence of regular and irregular dynamics in complex networks of pulse-coupled oscillators. Physical Review Letters, 89, 258701.
    • (2002) Physical Review Letters , vol.89 , pp. 258701
    • Timme, M.1    Wolf, F.2    Geisel, T.3
  • 33
    • 0000563446 scopus 로고    scopus 로고
    • Partial synchronization in populations of pulse-coupled oscillators
    • van Vreeswijk, C. (1996). Partial synchronization in populations of pulse-coupled oscillators. Physical Review E, 54(5), 5522-5537.
    • (1996) Physical Review E , vol.54 , Issue.5 , pp. 5522-5537
    • van Vreeswijk, C.1
  • 34
    • 0001282080 scopus 로고    scopus 로고
    • Analysis of the asynchronous state in networks of strongly coupled oscillators
    • van Vreeswijk, C. (2000). Analysis of the asynchronous state in networks of strongly coupled oscillators. Physical Review Letters, 84(22), 5110-5113.
    • (2000) Physical Review Letters , vol.84 , Issue.22 , pp. 5110-5113
    • van Vreeswijk, C.1
  • 36
    • 0029835892 scopus 로고    scopus 로고
    • Chaos in neuronal networks with balanced excitatory and inhibitory activity
    • van Vreeswijk, C., & Sompolinsky, H. (1996). Chaos in neuronal networks with balanced excitatory and inhibitory activity. Science 274, 1724-1726.
    • (1996) Science , vol.274 , pp. 1724-1726
    • van Vreeswijk, C.1    Sompolinsky, H.2
  • 37
    • 35248877155 scopus 로고    scopus 로고
    • Stability of the splay state in pulse-coupled networks
    • Zillmer, R., Livi, R., Politi, A., & Torcini, A. (2007). Stability of the splay state in pulse-coupled networks. Physical Review E 76(4), 046102.
    • (2007) Physical Review E , vol.76 , Issue.4 , pp. 046102
    • Zillmer, R.1    Livi, R.2    Politi, A.3    Torcini, A.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.