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Volumn 65, Issue 1, 2005, Pages 316-335

Delayed coupling between two neural network loops

Author keywords

Bifurcation; Coupled loops; Neural network; Oscillation; Time delay

Indexed keywords

BRAIN; COUPLED CIRCUITS; DELAY CIRCUITS; FUNCTIONS; MATHEMATICAL MODELS; OSCILLATIONS;

EID: 16244385615     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036139903434833     Document Type: Article
Times cited : (95)

References (21)
  • 1
    • 0028468031 scopus 로고
    • How delays affect neural dynamics and learning
    • P. SALDI AND A. ATIYA, How delays affect neural dynamics and learning, IEEE Trans. Neural Networks, 5 (1994), pp. 612-621.
    • (1994) IEEE Trans. Neural Networks , vol.5 , pp. 612-621
    • Saldi, P.1    Atiya, A.2
  • 2
    • 0013583334 scopus 로고    scopus 로고
    • Physiological aspects of information processing in the basal ganglia of normal and Parkinsonian primates
    • H. BERGMAN, A. FEINGOLD, A. NINI, A. RAZ, H. SLOVIN, M. ABELES, AND E. VAADIA, Physiological aspects of information processing in the basal ganglia of normal and Parkinsonian primates, Trends Neurosci., 21 (1998), pp. 32-38.
    • (1998) Trends Neurosci. , vol.21 , pp. 32-38
    • Bergman, H.1    Feingold, A.2    Nini, A.3    Raz, A.4    Slovin, H.5    Abeles, M.6    Vaadia, E.7
  • 3
    • 0002848816 scopus 로고    scopus 로고
    • Stability and bifurcation of a simple neural network with multiple time delays
    • S.A. CAMPBELL, Stability and bifurcation of a simple neural network with multiple time delays, Fields Inst. Commun., 21 (1999), pp. 65-79.
    • (1999) Fields Inst. Commun. , vol.21 , pp. 65-79
    • Campbell, S.A.1
  • 4
    • 8344253820 scopus 로고    scopus 로고
    • Delay independent stability for additive neural networks
    • S. A. CAMPBELL, Delay independent stability for additive neural networks, Differential Equations Dynam. Systems, 9 (2001) pp. 115-138.
    • (2001) Differential Equations Dynam. Systems , vol.9 , pp. 115-138
    • Campbell, S.A.1
  • 6
    • 0011924251 scopus 로고    scopus 로고
    • Simulating, analyzing, and animating dynamical systems: A guide to XPPA UT for researchers and students
    • SIAM, Philadelphia
    • B. ERMENTROUT, Simulating, Analyzing, and Animating Dynamical Systems: A Guide to XPPA UT for Researchers and Students, Software Environ. Tools 14, SIAM, Philadelphia, 2002.
    • (2002) Software Environ. Tools , vol.14
    • Ermentrout, B.1
  • 7
    • 0025045410 scopus 로고
    • Chaos in multi-looped negative feedback systems
    • L. GLASS AND C. P. MALTA, Chaos in multi-looped negative feedback systems, J. Theor. Biol., 145 (1990), pp. 217-223.
    • (1990) J. Theor. Biol. , vol.145 , pp. 217-223
    • Glass, L.1    Malta, C.P.2
  • 8
    • 0018168876 scopus 로고
    • Stable oscillations in mathematical models of biological control systems
    • L. GLASS AND J. S. PASTERNACK, Stable oscillations in mathematical models of biological control systems, J. Math. Biol., 6 (1978), pp. 207-223.
    • (1978) J. Math. Biol. , vol.6 , pp. 207-223
    • Glass, L.1    Pasternack, J.S.2
  • 9
    • 0028542772 scopus 로고
    • Delay independent stability in bidirectional associative memory networks
    • K. GOPALSAMY AND X.-Z. HE, Delay independent stability in bidirectional associative memory networks, IEEE Trans. Neural Networks, 5 (1994), pp. 998-1002.
    • (1994) IEEE Trans. Neural Networks , vol.5 , pp. 998-1002
    • Gopalsamy, K.1    He, X.-Z.2
  • 10
    • 0026266883 scopus 로고
    • Basal ganglia - Input, neural activity, and relation to the cortex
    • A. M. GRAYBIEL, Basal ganglia - input, neural activity, and relation to the cortex, Curr, Opin. Neurobiol., 1 (1991), pp. 644-651.
    • (1991) Curr, Opin. Neurobiol. , vol.1 , pp. 644-651
    • Graybiel, A.M.1
  • 13
    • 0025477416 scopus 로고
    • Phase transitions and other phenomena in chains of coupled oscillators
    • N. KOPELL AND G. B. ERMENTROUT, Phase transitions and other phenomena in chains of coupled oscillators, SIAM J. Appl. Math., 50 (1990), pp. 1014-1052.
    • (1990) SIAM J. Appl. Math. , vol.50 , pp. 1014-1052
    • Kopell, N.1    Ermentrout, G.B.2
  • 14
    • 0001082564 scopus 로고    scopus 로고
    • Bifurcations, stability, and monotonicity properties of a delayed neural network model
    • L. OLIEN AND J. BÉLAIR, Bifurcations, stability, and monotonicity properties of a delayed neural network model, Phys. D, 102 (1997), pp. 349-363.
    • (1997) Phys. D , vol.102 , pp. 349-363
    • Olien, L.1    Bélair, J.2
  • 15
    • 0000256610 scopus 로고
    • Stability of analog neural networks with delay
    • C. MARCUS AND R. WESTERVELT, Stability of analog neural networks with delay, Phys. Rev. A (3), 39 (1989), pp. 347-359.
    • (1989) Phys. Rev. A (3) , vol.39 , pp. 347-359
    • Marcus, C.1    Westervelt, R.2
  • 16
    • 12244313650 scopus 로고    scopus 로고
    • Change in criticality of synchronous Hopf bifurcation in a multiple-delayed neural system
    • I. NCUBE, S. A. CAMPBELL, AND J. WU, Change in criticality of synchronous Hopf bifurcation in a multiple-delayed neural system, Fields Inst. Commun., 36 (2003), pp. 179-193.
    • (2003) Fields Inst. Commun. , vol.36 , pp. 179-193
    • Ncube, I.1    Campbell, S.A.2    Wu, J.3
  • 17
    • 0032052445 scopus 로고    scopus 로고
    • Effect of delay on the boundary of the basin of attraction in a system of two neurons
    • K. PAKDAMAN, C. GROTTA-RAGAZZO, C. P. MALTA, O. ARINO, AND J.-F. VIBERT, Effect of delay on the boundary of the basin of attraction in a system of two neurons, Neural Networks, 11 (1998), pp. 509-519.
    • (1998) Neural Networks , vol.11 , pp. 509-519
    • Pakdaman, K.1    Grotta-Ragazzo, C.2    Malta, C.P.3    Arino, O.4    Vibert, J.-F.5
  • 18
    • 0342936163 scopus 로고    scopus 로고
    • Stability, bifurcation, and multistability in a system of two coupled neurons with multiple time delays
    • L. P. SHAYER AND S. A. CAMPBELL, Stability, bifurcation, and multistability in a system of two coupled neurons with multiple time delays, SIAM J. Appl. Math., 61 (2000), pp. 673-700.
    • (2000) SIAM J. Appl. Math. , vol.61 , pp. 673-700
    • Shayer, L.P.1    Campbell, S.A.2
  • 19
    • 0035276184 scopus 로고    scopus 로고
    • Stabilization role of inhibitory self-connections in a delayed neural network
    • P. VAN DEN DRIESSCHE, J. WU, AND X. ZOU, Stabilization role of inhibitory self-connections in a delayed neural network, Phys. D, 150 (2001), pp. 84-90.
    • (2001) Phys. D , vol.150 , pp. 84-90
    • Van Den Driessche, P.1    Wu, J.2    Zou, X.3
  • 20
    • 0032298907 scopus 로고    scopus 로고
    • Global attractivity in delayed Hopfield neural network models
    • P. VAN DEN DRIESSCHE AND X. ZOU, Global attractivity in delayed Hopfield neural network models, SIAM J. Appl. Math., 58 (1998), pp. 1878-1890.
    • (1998) SIAM J. Appl. Math. , vol.58 , pp. 1878-1890
    • Van Den Driessche, P.1    Zou, X.2
  • 21
    • 0033166162 scopus 로고    scopus 로고
    • Synchronization and stable phase-locking in a network of neurons with memory
    • J. WU, T. FARIA, AND Y. S. HUANG, Synchronization and stable phase-locking in a network of neurons with memory, Math. Comput. Modelling, 30 (1999), pp. 117-138.
    • (1999) Math. Comput. Modelling , vol.30 , pp. 117-138
    • Wu, J.1    Faria, T.2    Huang, Y.S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.