메뉴 건너뛰기




Volumn 79, Issue 1, 1998, Pages 87-96

Stimulus-induced bifurcations in discrete-time neural oscillators

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0002714540     PISSN: 03401200     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004220050461     Document Type: Article
Times cited : (12)

References (58)
  • 3
    • 0031033677 scopus 로고    scopus 로고
    • Associative dynamics in a chaotic neural network
    • Adachi M, Aihara K (1997) Associative dynamics in a chaotic neural network. Neural Netw 10:83-98
    • (1997) Neural Netw , vol.10 , pp. 83-98
    • Adachi, M.1    Aihara, K.2
  • 5
    • 0000601048 scopus 로고
    • Nonlinear dynamics of pattern formation and pattern recognition in the rabbit olfactory bulb
    • Baird B (1986) Nonlinear dynamics of pattern formation and pattern recognition in the rabbit olfactory bulb. Physica D 22:150-175
    • (1986) Physica D , vol.22 , pp. 150-175
    • Baird, B.1
  • 6
    • 18344379103 scopus 로고
    • Synchronization of chaotic systems: The effect of additive noise and drift in the dynamics of the driving
    • Brown R, Rulkov NF, Tufillaro NB (1994) Synchronization of chaotic systems: the effect of additive noise and drift in the dynamics of the driving. Phys Rev E 50:4488-4508
    • (1994) Phys Rev E , vol.50 , pp. 4488-4508
    • Brown, R.1    Rulkov, N.F.2    Tufillaro, N.B.3
  • 7
    • 0019996855 scopus 로고
    • Direct afferent excitation and long-term potentiation of hippocampal interneurons
    • Buzsàki G, Eidelberg E (1982) Direct afferent excitation and long-term potentiation of hippocampal interneurons. J Neurophysiol 48:597-607
    • (1982) J Neurophysiol , vol.48 , pp. 597-607
    • Buzsàki, G.1    Eidelberg, E.2
  • 8
    • 0020839482 scopus 로고
    • Cellular bases of hippocampal EEG in the behaving rat
    • Buzsàki G, Leung LS, Vanderwolf CH (1983) Cellular bases of hippocampal EEG in the behaving rat. Brain Res Rev 6:139-171
    • (1983) Brain Res Rev , vol.6 , pp. 139-171
    • Buzsàki, G.1    Leung, L.S.2    Vanderwolf, C.H.3
  • 9
    • 0030145434 scopus 로고    scopus 로고
    • Synchronization and desynchronization in a network of locally couple Wilson-Cowan oscillators
    • Campbell S, Wang DL (1996) Synchronization and desynchronization in a network of locally couple Wilson-Cowan oscillators. IEEE Trans Neural Netw 7:541-554
    • (1996) IEEE Trans Neural Netw , vol.7 , pp. 541-554
    • Campbell, S.1    Wang, D.L.2
  • 10
    • 43949173664 scopus 로고
    • Cascading synchronized chaotic systems
    • Carroll TL, Pecora LM (1993) Cascading synchronized chaotic systems. Physica D 67:126-140
    • (1993) Physica D , vol.67 , pp. 126-140
    • Carroll, T.L.1    Pecora, L.M.2
  • 11
    • 0001961264 scopus 로고
    • Mean-field equations, bifurcation map and route to chaos in discrete time neural networks
    • Cessac B, Doyon B, Quoy M, Samuelides M (1994) Mean-field equations, bifurcation map and route to chaos in discrete time neural networks. Physica D 74:24-44
    • (1994) Physica D , vol.74 , pp. 24-44
    • Cessac, B.1    Doyon, B.2    Quoy, M.3    Samuelides, M.4
  • 12
    • 13344253863 scopus 로고
    • Control of the transition to chaos in neural networks with random connectivity
    • Doyon B, Cessac B, Quoy M, Samuelides M (1993) Control of the transition to chaos in neural networks with random connectivity. Int J Bif Chaos 3:279-291
    • (1993) Int J Bif Chaos , vol.3 , pp. 279-291
    • Doyon, B.1    Cessac, B.2    Quoy, M.3    Samuelides, M.4
  • 13
    • 11544324137 scopus 로고
    • On bifurcations and chaos in random neural networks
    • Doyon B, Cessac B, Quoy M, Samuelides M (1994) On bifurcations and chaos in random neural networks. Acta Biotheor 42:215-225
    • (1994) Acta Biotheor , vol.42 , pp. 215-225
    • Doyon, B.1    Cessac, B.2    Quoy, M.3    Samuelides, M.4
  • 14
    • 0024255761 scopus 로고
    • Coherent oscillations: A mechanism of feature linking in the visual cortex? Multiple electrode and correlation analysis in the cat
    • Eckhorn R, Bauer R, Jordan W, Brosch M, Munk M, Reitboeck RJ (1988) Coherent oscillations: a mechanism of feature linking in the visual cortex? Multiple electrode and correlation analysis in the cat. Biol Cybern 60:121-130
    • (1988) Biol Cybern , vol.60 , pp. 121-130
    • Eckhorn, R.1    Bauer, R.2    Jordan, W.3    Brosch, M.4    Munk, M.5    Reitboeck, R.J.6
  • 15
    • 0346238951 scopus 로고
    • The sigmoid nonlinearity in neural computation: An experimental approach
    • Denker JS (ed) AIP, New York
    • Eeckman FH, Freeman WJ (1986) The sigmoid nonlinearity in neural computation: an experimental approach. In: Denker JS (ed) Neural networks for computing. AIP, New York, pp 135-145
    • (1986) Neural Networks for Computing , pp. 135-145
    • Eeckman, F.H.1    Freeman, W.J.2
  • 16
    • 0025912828 scopus 로고
    • Synchronization of oscillatory neuronal responses between striate and exstriate visual cortical areas of the cat
    • Engel AK, König P, Kreiter AK, Singer W (1991a) Synchronization of oscillatory neuronal responses between striate and exstriate visual cortical areas of the cat. Proc Natl Acad Sci USA 88:6048-6052
    • (1991) Proc Natl Acad Sci USA , vol.88 , pp. 6048-6052
    • Engel, A.K.1    König, P.2    Kreiter, A.K.3    Singer, W.4
  • 17
    • 0026342392 scopus 로고
    • Interhemispheric synchronization of oscillatory neuronal responses in cat visual cortex
    • Engel AK, König P, Kreiter AK, Singer W (1991b) Interhemispheric synchronization of oscillatory neuronal responses in cat visual cortex. Science 252:1177-1179
    • (1991) Science , vol.252 , pp. 1177-1179
    • Engel, A.K.1    König, P.2    Kreiter, A.K.3    Singer, W.4
  • 18
    • 0018607170 scopus 로고
    • Nonlinear dynamics of paleocortex manifested in the olfactory EEG
    • Freeman WJ (1979) Nonlinear dynamics of paleocortex manifested in the olfactory EEG. Biol Cybern 35:21-37
    • (1979) Biol Cybern , vol.35 , pp. 21-37
    • Freeman, W.J.1
  • 19
    • 0019460317 scopus 로고
    • Electrophysiological characteristics of hippocampal complex-spike cells and theta cells
    • Fox SE, Ranck JB Jr (1981) Electrophysiological characteristics of hippocampal complex-spike cells and theta cells. Exp Brain Res 41:399-410
    • (1981) Exp Brain Res , vol.41 , pp. 399-410
    • Fox, S.E.1    Ranck Jr., J.B.2
  • 20
    • 0022450487 scopus 로고
    • Hippocampal theta rhythm and the firing of neurons in walking and urethane anesthetized rats
    • Fox SE, Wolfson S, Ranck JB Jr (1986) Hippocampal theta rhythm and the firing of neurons in walking and urethane anesthetized rats. Exp Brain Res 62:495-508
    • (1986) Exp Brain Res , vol.62 , pp. 495-508
    • Fox, S.E.1    Wolfson, S.2    Ranck Jr., J.B.3
  • 21
    • 0024514737 scopus 로고
    • Oscillatory responses in cat visual cortex exhibit intercolumnar synchronization which reflects global stimulus properties
    • Gray CM, König P, Engel AK, Singer W (1989) Oscillatory responses in cat visual cortex exhibit intercolumnar synchronization which reflects global stimulus properties. Nature 338:334-337
    • (1989) Nature , vol.338 , pp. 334-337
    • Gray, C.M.1    König, P.2    Engel, A.K.3    Singer, W.4
  • 22
    • 0012349493 scopus 로고
    • Crises, sudden changes in chaotic attractors, and transient chaos
    • Grebogi C, Ott E, Yorke JA (1983) Crises, sudden changes in chaotic attractors, and transient chaos. Physica D 7:181-200
    • (1983) Physica D , vol.7 , pp. 181-200
    • Grebogi, C.1    Ott, E.2    Yorke, J.A.3
  • 23
    • 11944256929 scopus 로고
    • Synchronization and computation in a chaotic neural network
    • Hansel D, Sompolinsky H (1992) Synchronization and computation in a chaotic neural network. Phys Rev Lett 68:718-721
    • (1992) Phys Rev Lett , vol.68 , pp. 718-721
    • Hansel, D.1    Sompolinsky, H.2
  • 24
    • 4444281406 scopus 로고
    • Analysis and synthesis of synchronous periodic and chaotic systems
    • He R, Vaidya PG (1992) Analysis and synthesis of synchronous periodic and chaotic systems. Phys Rev A 46:7387-7392
    • (1992) Phys Rev A , vol.46 , pp. 7387-7392
    • He, R.1    Vaidya, P.G.2
  • 26
    • 35649001607 scopus 로고
    • A quantitative description of membrane current and its application to conduction and excitation in the nerve
    • Hodgkin AL, Huxley AF (1952) A quantitative description of membrane current and its application to conduction and excitation in the nerve. J Physiol (Lond) 117:500-544
    • (1952) J Physiol (Lond) , vol.117 , pp. 500-544
    • Hodgkin, A.L.1    Huxley, A.F.2
  • 27
    • 0020118274 scopus 로고
    • Neural networks and physical systems with emergent collective computational abilities
    • Hopfield JJ (1982) Neural networks and physical systems with emergent collective computational abilities. Proc Natl Acad Sci USA 79:2554-2558
    • (1982) Proc Natl Acad Sci USA , vol.79 , pp. 2554-2558
    • Hopfield, J.J.1
  • 28
    • 0029880873 scopus 로고    scopus 로고
    • A network of chaotic elements for information processing
    • Ishii S, Fukumizu K, Watanabe S (1996) A network of chaotic elements for information processing. Neural Networks 9:25-40
    • (1996) Neural Networks , vol.9 , pp. 25-40
    • Ishii, S.1    Fukumizu, K.2    Watanabe, S.3
  • 29
    • 0024704144 scopus 로고
    • Spatiotemporal chaos in one- And two-dimensional coupled map lattices
    • Kaneko K (1989) Spatiotemporal chaos in one- and two-dimensional coupled map lattices. Physica D 37:60-82
    • (1989) Physica D , vol.37 , pp. 60-82
    • Kaneko, K.1
  • 30
    • 45149135778 scopus 로고
    • Clustering coding switching hierarchical ordering and control in a network of chaotic elements
    • Kaneko K (1990) Clustering coding switching hierarchical ordering and control in a network of chaotic elements. Physica D 41:137-172
    • (1990) Physica D , vol.41 , pp. 137-172
    • Kaneko, K.1
  • 32
    • 0001228395 scopus 로고
    • Stimulus-dependent assembly formation of oscillatory responses. I. Synchronization
    • König P, Schulen TB (1991) Stimulus-dependent assembly formation of oscillatory responses. I. Synchronization. Neural Comput 3:155-166
    • (1991) Neural Comput , vol.3 , pp. 155-166
    • König, P.1    Schulen, T.B.2
  • 34
    • 0030513846 scopus 로고    scopus 로고
    • The sequence predicting CA3 is a flexible associator that learns and uses contexts to solve hippocampal-like tasks
    • Levy WB (1996) The sequence predicting CA3 is a flexible associator that learns and uses contexts to solve hippocampal-like tasks. Hippocampus 6:579-590
    • (1996) Hippocampus , vol.6 , pp. 579-590
    • Levy, W.B.1
  • 35
    • 0020445685 scopus 로고
    • Temporal relationship between sniffing and limbic theta rhythm during odor discrimination reversal learning
    • Macrides F, Eichenbaum H, Forbes WB (1982) Temporal relationship between sniffing and limbic theta rhythm during odor discrimination reversal learning. J Neurosci 2:1705-1717
    • (1982) J Neurosci , vol.2 , pp. 1705-1717
    • Macrides, F.1    Eichenbaum, H.2    Forbes, W.B.3
  • 36
    • 0001719881 scopus 로고    scopus 로고
    • Noise and synchronization in chaotic systems
    • Malescio G (1996) Noise and synchronization in chaotic systems. Phys Rev E 53:6551-6554
    • (1996) Phys Rev E , vol.53 , pp. 6551-6554
    • Malescio, G.1
  • 37
    • 0022633118 scopus 로고
    • A neural cocktail-party processor
    • Malsburg C von der, Schneider W (1986) A neural cocktail-party processor. Biol Cybern 54:29-40
    • (1986) Biol Cybern , vol.54 , pp. 29-40
    • Von Der, M.C.1    Schneider, W.2
  • 38
    • 0026458898 scopus 로고
    • Sensory segmentation with coupled neural oscillators
    • Malsburg C von der, Buhmann J (1992) Sensory segmentation with coupled neural oscillators. Biol Cybern 67:233-246
    • (1992) Biol Cybern , vol.67 , pp. 233-246
    • Von Der, M.C.1    Buhmann, J.2
  • 39
    • 0004607561 scopus 로고    scopus 로고
    • Chaos-induced synchronization in discrete-time oscillators driven by a random input
    • Minai AA, Anand T (1998a) Chaos-induced synchronization in discrete-time oscillators driven by a random input. Phys Rev E 57:1559-1562
    • (1998) Phys Rev E , vol.57 , pp. 1559-1562
    • Minai, A.A.1    Anand, T.2
  • 40
    • 0031624921 scopus 로고    scopus 로고
    • Using noise to synchronize chaotic neural oscillators
    • Minai AA, Anand T (1998b) Using noise to synchronize chaotic neural oscillators. Proc IJCNN 98:1466-1471
    • (1998) Proc IJCNN , vol.98 , pp. 1466-1471
    • Minai, A.A.1    Anand, T.2
  • 41
    • 0027786668 scopus 로고
    • The dynamics of sparse random networks
    • Minai AA, Levy WB (1993) The dynamics of sparse random networks. Biol Cybern 70:177-187
    • (1993) Biol Cybern , vol.70 , pp. 177-187
    • Minai, A.A.1    Levy, W.B.2
  • 42
    • 0011122756 scopus 로고
    • Setting the activity level in sparse random networks
    • Minai AA, Levy WB (1994) Setting the activity level in sparse random networks. Neural Comput 6:85-99
    • (1994) Neural Comput , vol.6 , pp. 85-99
    • Minai, A.A.1    Levy, W.B.2
  • 43
    • 11544254508 scopus 로고    scopus 로고
    • Communicating with noise: How chaos and noise combine to generate secure encryption keys
    • in press
    • Minai AA, Pandian TD (1998) Communicating with noise: how chaos and noise combine to generate secure encryption keys. Chaos (in press)
    • (1998) Chaos
    • Minai, A.A.1    Pandian, T.D.2
  • 44
    • 0001272114 scopus 로고    scopus 로고
    • Synchronization of chaotic systems by using occasional coupling
    • Morgül Ö, Feki M (1997) Synchronization of chaotic systems by using occasional coupling. Phys Rev E 55:5004-5010
    • (1997) Phys Rev E , vol.55 , pp. 5004-5010
    • Morgül, Ö.1    Feki, M.2
  • 45
  • 46
    • 0343689904 scopus 로고
    • Synchronization in chaotic systems
    • Pecora LM, Carroll TL (1990) Synchronization in chaotic systems. Phys Rev Lett 64:821-824
    • (1990) Phys Rev Lett , vol.64 , pp. 821-824
    • Pecora, L.M.1    Carroll, T.L.2
  • 47
    • 5344269568 scopus 로고
    • Driving systems with chaotic signals
    • Pecora LM, Carroll TL (1991) Driving systems with chaotic signals. Phys Rev A 44:2374-2383
    • (1991) Phys Rev A , vol.44 , pp. 2374-2383
    • Pecora, L.M.1    Carroll, T.L.2
  • 49
    • 0142014556 scopus 로고
    • Experimental monosynaptic input output relations in the mammalian spinal cord
    • Rall W (1955) Experimental monosynaptic input output relations in the mammalian spinal cord. J Cell Comp Physiol 46:413-437
    • (1955) J Cell Comp Physiol , vol.46 , pp. 413-437
    • Rall, W.1
  • 50
    • 0001228395 scopus 로고
    • Stimulus-dependent assembly formation of oscillatory responses. II
    • Schulen TB, König P (1991) Stimulus-dependent assembly formation of oscillatory responses. II. Desynchronization Neural Comput 3:167-178
    • (1991) Desynchronization Neural Comput , vol.3 , pp. 167-178
    • Schulen, T.B.1    König, P.2
  • 51
    • 84973949757 scopus 로고
    • How brains make chaos in order to make sense of the world
    • Skarda CA, Freeman WJ (1987) How brains make chaos in order to make sense of the world. Behav Brain Sci 10:161-195
    • (1987) Behav Brain Sci , vol.10 , pp. 161-195
    • Skarda, C.A.1    Freeman, W.J.2
  • 52
    • 0029206489 scopus 로고
    • Locally excitatory globally inhibitory oscillator networks
    • Wang DL, Terman D (1995) Locally excitatory globally inhibitory oscillator networks. IEEE Trans Neural Networks 6:283-286
    • (1995) IEEE Trans Neural Networks , vol.6 , pp. 283-286
    • Wang, D.L.1    Terman, D.2
  • 53
    • 0000631656 scopus 로고
    • Period-doublings to chaos in a simple neural network: An analytic proof
    • Wang X (1991) Period-doublings to chaos in a simple neural network: an analytic proof. Complex Syst 5:425-441
    • (1991) Complex Syst , vol.5 , pp. 425-441
    • Wang, X.1
  • 55
    • 0026900945 scopus 로고
    • Discrete-time versus continuous-time models of neural networks
    • Wang X, Blum EK (1992) Discrete-time versus continuous-time models of neural networks. J Comput Syst Sci 45:1-19
    • (1992) J Comput Syst Sci , vol.45 , pp. 1-19
    • Wang, X.1    Blum, E.K.2
  • 56
    • 0015260274 scopus 로고
    • Excitatory and inhibitory interactions in localized populations
    • Wilson HR, Cowan JD (1972) Excitatory and inhibitory interactions in localized populations. Biophys J 12:1-24
    • (1972) Biophys J , vol.12 , pp. 1-24
    • Wilson, H.R.1    Cowan, J.D.2
  • 57
    • 0030077698 scopus 로고    scopus 로고
    • Context codes and the effect of noisy learning on a simplified hippocampal CA3 model
    • Wu X, Baxter RA, Levy WB (1996) Context codes and the effect of noisy learning on a simplified hippocampal CA3 model. Biol Cybern 74:159-165
    • (1996) Biol Cybern , vol.74 , pp. 159-165
    • Wu, X.1    Baxter, R.A.2    Levy, W.B.3
  • 58
    • 0025260281 scopus 로고
    • Model of biological pattern recognition with spatially chaotic dynamics
    • Yao Y, Freeman WJ (1990) Model of biological pattern recognition with spatially chaotic dynamics. Neural Netw 3:153-170
    • (1990) Neural Netw , vol.3 , pp. 153-170
    • Yao, Y.1    Freeman, W.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.