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Volumn 2006, Issue , 2006, Pages

Stability and bifurcation in a simplified four-neuron BAM neural network with multiple delays

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EID: 33645119646     PISSN: 10260226     EISSN: None     Source Type: Journal    
DOI: 10.1155/DDNS/2006/32529     Document Type: Article
Times cited : (18)

References (23)
  • 1
    • 0023435167 scopus 로고
    • Dynamics of simple electronic neural networks
    • Physica D. Nonlinear Phenomena Physica D. Nonlinear Phenomena
    • K. L. Babcock R. M. Westervelt Dynamics of simple electronic neural networks Physica D. Nonlinear Phenomena 28 1987 3 305 316
    • (1987) Physica D. Nonlinear Phenomena , vol.28 , Issue.3 , pp. 305-316
    • Babcock, K.L.1    Westervelt, R.M.2
  • 3
    • 0030081051 scopus 로고    scopus 로고
    • Frustration, stability, and delay-induced oscillations in a neural network model
    • SIAM Journal on Applied Mathematics SIAM Journal on Applied Mathematics
    • J. Bélair S. A. Campbell P. van den Driessche Frustration, stability, and delay-induced oscillations in a neural network model SIAM Journal on Applied Mathematics 56 1996 1 245-255
    • (1996) SIAM Journal on Applied Mathematics , vol.56 , Issue.1 , pp. 245-255
    • Bélair, J.1    Campbell, S.A.2    van den Driessche, P.3
  • 5
    • 0035890834 scopus 로고    scopus 로고
    • Bifurcations in a planar system of differential delay equations modeling neural activity
    • Physica D. Nonlinear Phenomena Physica D. Nonlinear Phenomena
    • F. Giannakopoulos A. Zapp Bifurcations in a planar system of differential delay equations modeling neural activity Physica D. Nonlinear Phenomena 159 2001 3-4 215-232
    • (2001) Physica D. , vol.159 , Issue.3-4 , pp. 215-232
    • Giannakopoulos, F.1    Zapp, A.2
  • 6
    • 0028542772 scopus 로고
    • Delay-independent stability in bidirectional associative memory networks
    • K. Gopalsamy X.-Z. He Delay-independent stability in bidirectional associative memory networks IEEE Transactions on Neural Networks 5 1994 6 998-1002
    • (1994) IEEE Transactions on Neural Networks , vol.5 , Issue.6 , pp. 998-1002
    • Gopalsamy, K.1    He, X.-Z.2
  • 7
    • 22244473030 scopus 로고    scopus 로고
    • Delay induced periodicity in a neural netlet of excitation and inhibition
    • K. Gopalsamy I. Leung Delay induced periodicity in a neural netlet of excitation and inhibition Physica D. Nonlinear Phenomena Physica D. Nonlinear Phenomena 89 1996 3-4 395-426
    • (1996) Physica D. Nonlinear Phenomena , vol.89 , Issue.3-4 , pp. 395-426
    • Gopalsamy, K.1    Leung, I.2
  • 8
    • 0003346959 scopus 로고
    • Theory of functional differential equations, 2nd
    • Springer New York
    • J. K. Hale Theory of Functional Differential Equations Applied Mathematical Sciences Springer New York 3 1977 x+365 2nd
    • (1977) Applied Mathematical Sciences , vol.3
    • Hale, J.K.1
  • 12
    • 18544366261 scopus 로고    scopus 로고
    • On the zeros of a fourth degree exponential polynomial with applications to a neural network model with delays
    • Chaos, Solitons and Fractals
    • X. Li J. Wei On the zeros of a fourth degree exponential polynomial with applications to a neural network model with delays Chaos, Solitons and Fractals Chaos, Solitons and Fractals 26 2005 2 519-526
    • (2005) Chaos, Solitons and Fractals , vol.26 , Issue.2 , pp. 519-526
    • Li, X.1    Wei, J.2
  • 13
    • 4243051466 scopus 로고    scopus 로고
    • Stability and bifurcation in a harmonic oscillator with delays
    • Chaos, Solitons and Fractals
    • Z. Liu R. Yuan Stability and bifurcation in a harmonic oscillator with delays Chaos, Solitons and Fractals Chaos, Solitons and Fractals 23 2005 2 551-562
    • (2005) Chaos, Solitons and Fractals , vol.23 , Issue.2 , pp. 551-562
    • Liu, Z.1    Yuan, R.2
  • 14
    • 0000256610 scopus 로고
    • Stability of analog neural networks with delay
    • Physical Review. A. Third Series
    • C. M. Marcus R. M. Westervelt Stability of analog neural networks with delay Physical Review. A. Third Series Physical Review. A. Third Series 39 1989 1 347-359
    • (1989) Physical Review. A. Third Series , vol.39 , Issue.1 , pp. 347-359
    • Marcus, C.M.1    Westervelt, R.M.2
  • 15
    • 0035890410 scopus 로고    scopus 로고
    • Global exponential stability in continuous-time and discrete-time delayed bidirectional neural networks
    • S. Mohamad Global exponential stability in continuous-time and discrete-time delayed bidirectional neural networks Physica D. Nonlinear Phenomena Physica D. Nonlinear Phenomena 159 2001 3-4 233 251
    • (2001) Physica D. Nonlinear Phenomena , vol.159 , Issue.3-4 , pp. 233-251
    • Mohamad, S.1
  • 16
    • 0001082564 scopus 로고    scopus 로고
    • Bifurcations, stability, and monotonicity properties of a delayed neural network model
    • Physica D. Nonlinear Phenomena Physica D. Nonlinear Phenomena
    • L. Olien J. Bélair Bifurcations, stability, and monotonicity properties of a delayed neural network model Physica D. Nonlinear Phenomena Physica D. Nonlinear Phenomena 102 1997 3-4 349-363
    • (1997) Physica D. Nonlinear Phenomena , vol.102 , Issue.3-4 , pp. 349-363
    • Olien, L.1    Bélair, J.2
  • 17
    • 0035011952 scopus 로고    scopus 로고
    • On the zeros of a third degree exponential polynomial with applications to a delayed modelfor the control of testosterone secretion
    • S. Ruan J. Wei On the zeros of a third degree exponential polynomial with applications to a delayed modelfor the control of testosterone secretion IMA journal of Mathematics Applied in Medicine and Biology. 18 2001 1 41-52
    • (2001) IMA Journal of Mathematics Applied in Medicine and Biology , vol.18 , Issue.1 , pp. 41-52
    • Ruan, S.1    Wei, J.2
  • 18
    • 12244261643 scopus 로고    scopus 로고
    • Stability and Hopf bifurcation analysis on a simplified BAM neural network with delays
    • Physica D. Nonlinear Phenomena Physica D. Nonlinear Phenomena
    • Y. Song M. Han J. Wei Stability and Hopf bifurcation analysis on a simplified BAM neural network with delays Physica D. Nonlinear Phenomena Physica D. Nonlinear Phenomena 200 2005 3-4 185-204
    • (2005) Physica D. Nonlinear Phenomena , vol.200 , Issue.3-4 , pp. 185-204
    • Song, Y.1    Han, M.2    Wei, J.3
  • 19
    • 2342442918 scopus 로고    scopus 로고
    • Hopf bifurcation in bidirectional associative memory neural networks with delays: Analysis and computation
    • Journal of Computational and Applied Mathematics
    • L. Wang X. Zou Hopf bifurcation in bidirectional associative memory neural networks with delays: Analysis and computation Journal of Computational and Applied Mathematics Journal of Computational and Applied Mathematics 167 2004 1 73-90
    • (2004) Journal of Computational and Applied Mathematics , vol.167 , Issue.1 , pp. 73-90
    • Wang, L.1    Zou, X.2
  • 20
    • 0347130009 scopus 로고    scopus 로고
    • Stability and bifurcation in a neural network model with two delays
    • Physica D. Nonlinear Phenomena Physica D. Nonlinear Phenomena
    • J. Wei S. Ruan Stability and bifurcation in a neural network model with two delays Physica D. Nonlinear Phenomena Physica D. Nonlinear Phenomena 130 1999 3-4 255-272
    • (1999) Physica D. Nonlinear Phenomena , vol.130 , Issue.3-4 , pp. 255-272
    • Wei, J.1    Ruan, S.2
  • 21
    • 7244227815 scopus 로고    scopus 로고
    • Bifurcation analysis and existence of periodic solutions in a simple neural network with delays
    • Chaos. An Interdisciplinary Journal of Nonlinear Science
    • J. Wei M. G. Velarde Bifurcation analysis and existence of periodic solutions in a simple neural network with delays Chaos. An Interdisciplinary Journal of Nonlinear Science Chaos. An Interdisciplinary Journal of Nonlinear Science 14 2004 3 940-953
    • (2004) Chaos. An Interdisciplinary Journal of Nonlinear Science , vol.14 , Issue.3 , pp. 940-953
    • Wei, J.1    Velarde, M.G.2
  • 22
    • 10944272216 scopus 로고    scopus 로고
    • Introduction to neural dynamics and signal transmission delay
    • Walter de Gruyter Berlin
    • J. Wu Introduction to Neural Dynamics and Signal Transmission Delay de Gruyter Series in Nonlinear Analysis and Applications Walter de Gruyter Berlin 6 2001 x+182
    • (2001) De Gruyter Series in Nonlinear Analysis and Applications , vol.6
    • Wu, J.1
  • 23
    • 21044455163 scopus 로고    scopus 로고
    • Global stability of delayed Hopfield neural networks under dynamical thresholds
    • Discrete Dynamics in Nature and Society. An International Multidisciplinary Research and Review Journal 2005
    • F.-Y. Zhang W.-T. Li Global stability of delayed Hopfield neural networks under dynamical thresholds Discrete Dynamics in Nature and Society. An International Multidisciplinary Research and Review Journal Discrete Dynamics in Nature and Society. An International Multidisciplinary Research and Review Journal 2005 2005 1 1-17
    • (2005) Discrete Dynamics in Nature and Society. An International Multidisciplinary Research and Review Journal , vol.1 , pp. 1-17
    • Zhang, F.-Y.1    Li, W.-T.2


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