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Volumn 19, Issue 12, 2007, Pages 3392-3420

Multiple almost periodic solutions in nonautonomous delayed neural networks

Author keywords

[No Author keywords available]

Indexed keywords

ACTION POTENTIAL; ALGORITHM; ANIMAL; ARTICLE; ARTIFICIAL NEURAL NETWORK; BRAIN; COMPUTER SIMULATION; HUMAN; NERVE CELL; NERVE CELL NETWORK; PHYSIOLOGY;

EID: 36849091517     PISSN: 08997667     EISSN: 1530888X     Source Type: Journal    
DOI: 10.1162/neco.2007.19.12.3392     Document Type: Article
Times cited : (20)

References (36)
  • 2
    • 0037467691 scopus 로고    scopus 로고
    • New results concerning exponential stability and periodic solutions of delayed cellular neural networks
    • Cao, J. (2003). New results concerning exponential stability and periodic solutions of delayed cellular neural networks. Phys. Lett. A, 307, 136-147.
    • (2003) Phys. Lett. A , vol.307 , pp. 136-147
    • Cao, J.1
  • 3
    • 2442484035 scopus 로고    scopus 로고
    • Globally exponentially robust stability and periodicity of delayed neural networks
    • Cao, J., & Chen, T. (2004). Globally exponentially robust stability and periodicity of delayed neural networks. Chaos Soli. Frac., 22, 957-963.
    • (2004) Chaos Soli. Frac , vol.22 , pp. 957-963
    • Cao, J.1    Chen, T.2
  • 4
    • 19444364927 scopus 로고    scopus 로고
    • Cao, J., Chen, A., & Huang, X. (2005). Almost periodic attractor of delayed neural networks with variable coefficients. Phys. Lett. A, 340, 104-120.
    • Cao, J., Chen, A., & Huang, X. (2005). Almost periodic attractor of delayed neural networks with variable coefficients. Phys. Lett. A, 340, 104-120.
  • 5
    • 0037427557 scopus 로고    scopus 로고
    • Existence and attractivity of almost periodic solutions for cellular neural networks with distributed delays and variable coefficients
    • Chen, A., & Cao, J. (2003). Existence and attractivity of almost periodic solutions for cellular neural networks with distributed delays and variable coefficients. Appl. Math. Comp., 134, 125-140.
    • (2003) Appl. Math. Comp , vol.134 , pp. 125-140
    • Chen, A.1    Cao, J.2
  • 6
    • 17044430183 scopus 로고    scopus 로고
    • Dynamical behaviors of a large class of general delayed neural networks
    • Chen, T., Lu, W., & Chen, G. (2005). Dynamical behaviors of a large class of general delayed neural networks. Neural Computation, 17, 949-968.
    • (2005) Neural Computation , vol.17 , pp. 949-968
    • Chen, T.1    Lu, W.2    Chen, G.3
  • 7
    • 33747179498 scopus 로고    scopus 로고
    • Multistability in recurrent neural networks
    • Cheng, C. Y., Lin, K. H., & Shih, C. W. (2006). Multistability in recurrent neural networks. SIAM J. Appl. Math., 66, 1301-1320.
    • (2006) SIAM J. Appl. Math , vol.66 , pp. 1301-1320
    • Cheng, C.Y.1    Lin, K.H.2    Shih, C.W.3
  • 8
    • 33845215509 scopus 로고    scopus 로고
    • Multistability and convergence in delayed neural networks
    • Cheng, C. Y., Lin, K. H., & Shih, C. W. (2007). Multistability and convergence in delayed neural networks. Physica D, 225, 61-74.
    • (2007) Physica D , vol.225 , pp. 61-74
    • Cheng, C.Y.1    Lin, K.H.2    Shih, C.W.3
  • 9
    • 0024088955 scopus 로고
    • Cellular neural networks: Theory
    • Chua, L. O., & Yang, L. (1988). Cellular neural networks: Theory. IEEE Trans. Circuits Syst., 35, 1257-1272.
    • (1988) IEEE Trans. Circuits Syst , vol.35 , pp. 1257-1272
    • Chua, L.O.1    Yang, L.2
  • 11
    • 22944467890 scopus 로고    scopus 로고
    • Convergence dynamics and pseudo almost periodicity of a class of nonautonomous RFDEs with applications
    • Fan, M., & Ye, D. (2005). Convergence dynamics and pseudo almost periodicity of a class of nonautonomous RFDEs with applications. J. Math. Anal. Appl., 309, 598-625.
    • (2005) J. Math. Anal. Appl , vol.309 , pp. 598-625
    • Fan, M.1    Ye, D.2
  • 13
    • 0032096386 scopus 로고    scopus 로고
    • On the piecewise analysis of networks of linear threshold neurons
    • Hahnloser, R. L. T. (1998). On the piecewise analysis of networks of linear threshold neurons. Neural Networks, 11, 691-697.
    • (1998) Neural Networks , vol.11 , pp. 691-697
    • Hahnloser, R.L.T.1
  • 14
    • 0038103138 scopus 로고    scopus 로고
    • Almost periodic solution of shunting inhibitory cellular neural networks with time-varying delay
    • Huang, X., & Cao, J. (2003). Almost periodic solution of shunting inhibitory cellular neural networks with time-varying delay. Phys. Lett. A, 314, 222-231.
    • (2003) Phys. Lett. A , vol.314 , pp. 222-231
    • Huang, X.1    Cao, J.2
  • 15
    • 33746253384 scopus 로고    scopus 로고
    • Existence and attractivity of almost periodic solution for recurrent neural networks with unbounded delays and variable coefficients
    • Huang, X., Cao, J., & Ho, W. C. (2006). Existence and attractivity of almost periodic solution for recurrent neural networks with unbounded delays and variable coefficients. Nonlinear Dynamics, 45, 337-351.
    • (2006) Nonlinear Dynamics , vol.45 , pp. 337-351
    • Huang, X.1    Cao, J.2    Ho, W.C.3
  • 16
    • 0033348899 scopus 로고    scopus 로고
    • Weakly connected quasi-periodic oscillators, FM interactions, and multiplexing in the brain
    • Izhikevich, E. M. (1999). Weakly connected quasi-periodic oscillators, FM interactions, and multiplexing in the brain. SIAM J. Appl. Math., 59, 2193-2223.
    • (1999) SIAM J. Appl. Math , vol.59 , pp. 2193-2223
    • Izhikevich, E.M.1
  • 17
    • 0033723714 scopus 로고    scopus 로고
    • Cellular neural networks: Mosaic pattern and spatial chaos
    • Juang, J., & Lin, S. S. (2000). Cellular neural networks: Mosaic pattern and spatial chaos. SIAM J. Appl. Math., 60, 891-915.
    • (2000) SIAM J. Appl. Math , vol.60 , pp. 891-915
    • Juang, J.1    Lin, S.S.2
  • 18
    • 0002484465 scopus 로고    scopus 로고
    • We got rhythm: Dynamical systems of the nervous system
    • Kopell, N. (2000). We got rhythm: Dynamical systems of the nervous system. Notices Amer. Math. Soc., 47, 6-16.
    • (2000) Notices Amer. Math. Soc , vol.47 , pp. 6-16
    • Kopell, N.1
  • 19
    • 20444368031 scopus 로고    scopus 로고
    • Existence and exponential stability of almost periodic solutions for cellular neural networks with time-varying delays
    • Liu, B., & Huang, L. (2005). Existence and exponential stability of almost periodic solutions for cellular neural networks with time-varying delays. Phys. Lett. A, 341, 135-144.
    • (2005) Phys. Lett. A , vol.341 , pp. 135-144
    • Liu, B.1    Huang, L.2
  • 20
    • 13844281280 scopus 로고    scopus 로고
    • On periodic dynamical systems
    • Lu, W., & Chen, T. (2004). On periodic dynamical systems. China Anna. Math. Seri. B, 25(4), 455-462.
    • (2004) China Anna. Math. Seri. B , vol.25 , Issue.4 , pp. 455-462
    • Lu, W.1    Chen, T.2
  • 21
    • 25144462223 scopus 로고    scopus 로고
    • Global exponential stability of almost periodic solution for a large class of delayed dynamical systems
    • Lu, W., & Chen, T. (2005). Global exponential stability of almost periodic solution for a large class of delayed dynamical systems. Science in China, Seri. A Math., 48, 1015-1026.
    • (2005) Science in China, Seri. A Math , vol.48 , pp. 1015-1026
    • Lu, W.1    Chen, T.2
  • 22
    • 0037391616 scopus 로고    scopus 로고
    • Convergence dynamics of delayed Hopfield-type neural networks under almost periodic stimuli
    • Mohamad, S. (2003). Convergence dynamics of delayed Hopfield-type neural networks under almost periodic stimuli. Acta. Appl. Math., 76, 117-135.
    • (2003) Acta. Appl. Math , vol.76 , pp. 117-135
    • Mohamad, S.1
  • 23
    • 3042798176 scopus 로고    scopus 로고
    • Extreme stability and almost periodicity in continuous and discrete neural models with finite delays
    • Mohamad, S., & Gopalsamy, K. (2000). Extreme stability and almost periodicity in continuous and discrete neural models with finite delays. Anziam J., 44, 261-282.
    • (2000) Anziam J , vol.44 , pp. 261-282
    • Mohamad, S.1    Gopalsamy, K.2
  • 24
    • 0037440578 scopus 로고    scopus 로고
    • Exponential stability of continuous-time and discrete-time cellular neural networks with delays
    • Mohamad, S., & Gopalsamy, K. (2003). Exponential stability of continuous-time and discrete-time cellular neural networks with delays. Appl. Math. Camp., 135, 17-38.
    • (2003) Appl. Math. Camp , vol.135 , pp. 17-38
    • Mohamad, S.1    Gopalsamy, K.2
  • 25
    • 0036125925 scopus 로고    scopus 로고
    • A new approach to stability of neural networks with time-varying delays
    • Peng, J., Qiao, H., & Xu, Z. B. (2002). A new approach to stability of neural networks with time-varying delays. Neural Networks, 15, 95-103.
    • (2002) Neural Networks , vol.15 , pp. 95-103
    • Peng, J.1    Qiao, H.2    Xu, Z.B.3
  • 26
    • 0026913847 scopus 로고
    • Cellular neural networks with nonlinear and delay-type template
    • Roska, T., & Chua, L. O. (1992). Cellular neural networks with nonlinear and delay-type template. Int. J. Circuit Theory Appl., 20, 469-481.
    • (1992) Int. J. Circuit Theory Appl , vol.20 , pp. 469-481
    • Roska, T.1    Chua, L.O.2
  • 27
    • 0034455980 scopus 로고    scopus 로고
    • Influence of boundary conditions on pattern formation and spatial chaos in lattice systems
    • Shih, C. W. (2000). Influence of boundary conditions on pattern formation and spatial chaos in lattice systems. SIAM J. Appl. Math., 61, 335-368.
    • (2000) SIAM J. Appl. Math , vol.61 , pp. 335-368
    • Shih, C.W.1
  • 28
    • 84973949757 scopus 로고
    • How brains make chaos in order to make sense of the world
    • Skarda, C. A., & Freeman, W. J. (1987). How brains make chaos in order to make sense of the world. Brain Behav. Sci., 10, 161-195.
    • (1987) Brain Behav. Sci , vol.10 , pp. 161-195
    • Skarda, C.A.1    Freeman, W.J.2
  • 29
    • 20444455020 scopus 로고    scopus 로고
    • Estimation of exponential convergence rate and exponential stability for neural networks with time-varying delay
    • Tu, F., & Liao, X. (2005). Estimation of exponential convergence rate and exponential stability for neural networks with time-varying delay. Chaos Soli. Frac., 26, 1499-1505.
    • (2005) Chaos Soli. Frac , vol.26 , pp. 1499-1505
    • Tu, F.1    Liao, X.2
  • 30
    • 0032298907 scopus 로고    scopus 로고
    • Global attractivity in delayed Hopfield neural network models
    • van den Driessche, P., & Zou, X. (1998). Global attractivity in delayed Hopfield neural network models. SIAM J. Appl. Math., 58, 1878-1890.
    • (1998) SIAM J. Appl. Math , vol.58 , pp. 1878-1890
    • van den Driessche, P.1    Zou, X.2
  • 31
    • 0026000109 scopus 로고
    • Pattern recognition by distributed neural networks: An industrial application
    • Yau, Y., Freeman, W. J., Burke, B., & Yang, Q. (1991). Pattern recognition by distributed neural networks: An industrial application. Neural Networks, 4, 103-121.
    • (1991) Neural Networks , vol.4 , pp. 103-121
    • Yau, Y.1    Freeman, W.J.2    Burke, B.3    Yang, Q.4
  • 33
    • 33645704613 scopus 로고    scopus 로고
    • Multiperiodicity and exponential attractivity evoked by periodic external inputs in delayed cellular neural networks
    • Zeng, Z., & Wang, J. (2006). Multiperiodicity and exponential attractivity evoked by periodic external inputs in delayed cellular neural networks. Neural Computation, 18, 848-870.
    • (2006) Neural Computation , vol.18 , pp. 848-870
    • Zeng, Z.1    Wang, J.2
  • 34
    • 18844430311 scopus 로고    scopus 로고
    • On global exponential stability of nonautonomous delayed neural networks
    • Zhang, Q., Wei, X., & Xu, J. (2005). On global exponential stability of nonautonomous delayed neural networks. Chaos Soli. Frac., 26, 965-970.
    • (2005) Chaos Soli. Frac , vol.26 , pp. 965-970
    • Zhang, Q.1    Wei, X.2    Xu, J.3
  • 35
    • 3042800316 scopus 로고    scopus 로고
    • Existence and global attractivity of almost periodic solution for cellular neural network with distributed delays
    • Zhao, H. (2004). Existence and global attractivity of almost periodic solution for cellular neural network with distributed delays. Appl. Math. Comp., 154, 683-695.
    • (2004) Appl. Math. Comp , vol.154 , pp. 683-695
    • Zhao, H.1
  • 36
    • 0347511635 scopus 로고    scopus 로고
    • Dynamics of periodic delayed neural networks
    • Zhou, J., Liu, Z., & Chen, G. (2004). Dynamics of periodic delayed neural networks. Neural Networks, 17, 87-101.
    • (2004) Neural Networks , vol.17 , pp. 87-101
    • Zhou, J.1    Liu, Z.2    Chen, G.3


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