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Volumn 9, Issue 3, 2008, Pages 725-746

Dynamics in three cells with multiple time delays

Author keywords

Delay differential equation; Dynamics; Neural network

Indexed keywords

DIFFERENTIAL EQUATIONS; DYNAMICAL SYSTEMS; MATHEMATICAL MODELS; NEURAL NETWORKS;

EID: 38949121252     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2006.12.015     Document Type: Article
Times cited : (21)

References (20)
  • 1
    • 0028468031 scopus 로고
    • How delays affect neural dynamics and learning
    • Baldi P., and Atiya A. How delays affect neural dynamics and learning. IEEE Tran. Neural Networks 5 4 (1994) 612-621
    • (1994) IEEE Tran. Neural Networks , vol.5 , Issue.4 , pp. 612-621
    • Baldi, P.1    Atiya, A.2
  • 2
    • 0002848816 scopus 로고    scopus 로고
    • Stability and bifurcation of a simple neural network with multiple time delays
    • Ruan S., Wolkowicz G.S.K., and Wu J. (Eds)
    • Campbell S.A. Stability and bifurcation of a simple neural network with multiple time delays. In: Ruan S., Wolkowicz G.S.K., and Wu J. (Eds). Differential Equations with Application to Biology, Fields Institute Communications vol. 21 (1999) 65-79
    • (1999) Differential Equations with Application to Biology, Fields Institute Communications , vol.21 , pp. 65-79
    • Campbell, S.A.1
  • 3
    • 32844462800 scopus 로고    scopus 로고
    • S.A. Campbell, I. Ncube, J. Wu, Multistability and stable asynchronous periodic oscillations in a multiple-Delayed neural system. Physica D Nonlinear Phenom. 214 (2) (2006) 101-119.
    • S.A. Campbell, I. Ncube, J. Wu, Multistability and stable asynchronous periodic oscillations in a multiple-Delayed neural system. Physica D Nonlinear Phenom. 214 (2) (2006) 101-119.
  • 4
    • 0033177129 scopus 로고    scopus 로고
    • Qualititave analysis of a neural network model with multiple time delays
    • Campbell S.A., Ruan S., and Wei J. Qualititave analysis of a neural network model with multiple time delays. Int. J. Bifurcation Chaos 9 8 (1999) 1585-1595
    • (1999) Int. J. Bifurcation Chaos , vol.9 , Issue.8 , pp. 1585-1595
    • Campbell, S.A.1    Ruan, S.2    Wei, J.3
  • 5
    • 0020970741 scopus 로고
    • Absolute stability and global pattern formation and parallel memory storage by competitive neural networks
    • Cohen M., and Grossberg S. Absolute stability and global pattern formation and parallel memory storage by competitive neural networks. IEEE Trans. Systems Man Cybernet. 13 5 (1983) 815-825
    • (1983) IEEE Trans. Systems Man Cybernet. , vol.13 , Issue.5 , pp. 815-825
    • Cohen, M.1    Grossberg, S.2
  • 7
    • 0001075269 scopus 로고
    • Stability in asymmetric Hopfield nets with transmission delays
    • Gopalsamy K., and He X. Stability in asymmetric Hopfield nets with transmission delays. Physica D 76 (1994) 344-358
    • (1994) Physica D , vol.76 , pp. 344-358
    • Gopalsamy, K.1    He, X.2
  • 8
  • 9
    • 0004469897 scopus 로고
    • Neurons with graded response have collective computational properties like two-state neurons
    • Hopfield J.J. Neurons with graded response have collective computational properties like two-state neurons. Proc. Natl. Acad. Sci. USA 81 (1984) 3088-3092
    • (1984) Proc. Natl. Acad. Sci. USA , vol.81 , pp. 3088-3092
    • Hopfield, J.J.1
  • 10
    • 0033102023 scopus 로고    scopus 로고
    • Theory and application of Hopf bifurcations in symmetric functional differential equations
    • Krawcewicz W., and Wu J. Theory and application of Hopf bifurcations in symmetric functional differential equations. Nonlinear Anal. 35 (1999) 845-870
    • (1999) Nonlinear Anal. , vol.35 , pp. 845-870
    • Krawcewicz, W.1    Wu, J.2
  • 12
    • 0000256610 scopus 로고
    • Stability of analog neural network with delay
    • Marcus C.M., and Westervelt R.M. Stability of analog neural network with delay. Phys. Rev. A(3) 39 1 (1989) 347-359
    • (1989) Phys. Rev. A(3) , vol.39 , Issue.1 , pp. 347-359
    • Marcus, C.M.1    Westervelt, R.M.2
  • 13
    • 0342936163 scopus 로고    scopus 로고
    • Stability, bifurcation, and multistability in a system of two coupled neurons with multiple time delays
    • Shayer L., and Campbell S.A. Stability, bifurcation, and multistability in a system of two coupled neurons with multiple time delays. SIAM J. Appl. Math. 61 2 (2000) 673-700
    • (2000) SIAM J. Appl. Math. , vol.61 , Issue.2 , pp. 673-700
    • Shayer, L.1    Campbell, S.A.2
  • 15
    • 0032298907 scopus 로고    scopus 로고
    • Global attractivity in delayed Hopfield neural network models
    • van den Driessche P., and Zou X. Global attractivity in delayed Hopfield neural network models. SIAM J. Math. 58 (1998) 1878-1890
    • (1998) SIAM J. Math. , vol.58 , pp. 1878-1890
    • van den Driessche, P.1    Zou, X.2
  • 16
    • 6444228136 scopus 로고    scopus 로고
    • Global existence of periodic solutions in a tri-neuron network model with delays
    • Wei J., and Li M.Y. Global existence of periodic solutions in a tri-neuron network model with delays. Physica D 198 (2004) 106-119
    • (2004) Physica D , vol.198 , pp. 106-119
    • Wei, J.1    Li, M.Y.2
  • 17
    • 27644482807 scopus 로고    scopus 로고
    • Synchronized Hopf bifurcation analysis in a neural network model with delays
    • Wei J., and Yuan Y. Synchronized Hopf bifurcation analysis in a neural network model with delays. J. Math. Anal. Appl. 312 1 (2005) 205-229
    • (2005) J. Math. Anal. Appl. , vol.312 , Issue.1 , pp. 205-229
    • Wei, J.1    Yuan, Y.2
  • 18
    • 33646864830 scopus 로고    scopus 로고
    • Symmetric functional differential equations and neural networks with memory
    • Wu J. Symmetric functional differential equations and neural networks with memory. Trans. Am. Math. Soc. 350 (1998) 4799-4838
    • (1998) Trans. Am. Math. Soc. , vol.350 , pp. 4799-4838
    • Wu, J.1
  • 19
    • 0033166162 scopus 로고    scopus 로고
    • Synchronization and stable phase-locking in a network of neurons with memory
    • Wu J., Faria T., and Huang Y.S. Synchronization and stable phase-locking in a network of neurons with memory. Math. Comput. Modeling 30 (1999) 117-138
    • (1999) Math. Comput. Modeling , vol.30 , pp. 117-138
    • Wu, J.1    Faria, T.2    Huang, Y.S.3
  • 20
    • 26944442186 scopus 로고    scopus 로고
    • Stability and synchronization of a ring of identical cells with delayed coupling
    • Yuan Y., and Campbell S.A. Stability and synchronization of a ring of identical cells with delayed coupling. J. Dyn. Differential Equations 16 3 (2004) 709-744
    • (2004) J. Dyn. Differential Equations , vol.16 , Issue.3 , pp. 709-744
    • Yuan, Y.1    Campbell, S.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.