메뉴 건너뛰기




Volumn 9, Issue 3, 2008, Pages 1024-1037

Dynamics of Cohen-Grossberg neural network with variable coefficients and time-varying delays

Author keywords

Cohen Grossberg neural networks; Global exponential stability; Periodic solution; Point dissipativeness; Time varying delays; Uniform boundedness

Indexed keywords

NONLINEAR SYSTEMS; NUMERICAL METHODS; PARAMETER ESTIMATION; PROBLEM SOLVING; TIME DELAY;

EID: 38949107661     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2007.02.002     Document Type: Article
Times cited : (47)

References (25)
  • 1
    • 0001013306 scopus 로고
    • Unified boundedness, periodicity, and stability in ordinary and functional differential equations
    • Burton T., and Zhang S. Unified boundedness, periodicity, and stability in ordinary and functional differential equations. Ann. Mat. Pure. Appl. Serie IV CXLV (1986) 129-158
    • (1986) Ann. Mat. Pure. Appl. Serie IV , vol.CXLV , pp. 129-158
    • Burton, T.1    Zhang, S.2
  • 2
    • 3442880393 scopus 로고    scopus 로고
    • Boundedness and stability for Cohen-Grossberg neural networks with time-varying
    • Cao J., and Liang J. Boundedness and stability for Cohen-Grossberg neural networks with time-varying. J. Math. Anal. Appl. 296 (2004) 665-685
    • (2004) J. Math. Anal. Appl. , vol.296 , pp. 665-685
    • Cao, J.1    Liang, J.2
  • 3
    • 0036565298 scopus 로고    scopus 로고
    • Time delays and stimulus-dependent pattern formation in periodic environments in isolated neurons
    • Sariyasa
    • Gopalsamy K., and Sariyasa. Time delays and stimulus-dependent pattern formation in periodic environments in isolated neurons. IEEE Trans. Neural Networks 13 3 (2002) 551-563
    • (2002) IEEE Trans. Neural Networks , vol.13 , Issue.3 , pp. 551-563
    • Gopalsamy, K.1
  • 4
    • 15944375785 scopus 로고    scopus 로고
    • Analysis of global exponential stability and periodic solutions of neural networks with time-varying delays
    • Huang H., Ho D., and Cao J. Analysis of global exponential stability and periodic solutions of neural networks with time-varying delays. Neural Networks 18 (2005) 161-170
    • (2005) Neural Networks , vol.18 , pp. 161-170
    • Huang, H.1    Ho, D.2    Cao, J.3
  • 5
    • 24344483452 scopus 로고    scopus 로고
    • Dynamics of a class of cellular neural networks with time-varying delays
    • Huang L., Huang C., and Liu B. Dynamics of a class of cellular neural networks with time-varying delays. Phys. Lett. A 345 (2005) 330-344
    • (2005) Phys. Lett. A , vol.345 , pp. 330-344
    • Huang, L.1    Huang, C.2    Liu, B.3
  • 6
    • 27844562231 scopus 로고    scopus 로고
    • Existence and global exponential stability of periodic solution of two-neuron networks with time-varying delays
    • Huang C., and Huang L. Existence and global exponential stability of periodic solution of two-neuron networks with time-varying delays. Appl. Math. Lett. 19 (2006) 126-134
    • (2006) Appl. Math. Lett. , vol.19 , pp. 126-134
    • Huang, C.1    Huang, L.2
  • 7
    • 33646510517 scopus 로고    scopus 로고
    • Dynamics of Cohen-Grossberg neural networks with time-varying delays
    • Jiang H., Cao J., and Teng Z. Dynamics of Cohen-Grossberg neural networks with time-varying delays. Phys. Lett. A 354 5-6 (2006) 414-422
    • (2006) Phys. Lett. A , vol.354 , Issue.5-6 , pp. 414-422
    • Jiang, H.1    Cao, J.2    Teng, Z.3
  • 8
    • 0037434107 scopus 로고    scopus 로고
    • Boundedness and stability for nonautonomous cellular neural network with delay
    • Jiang H., Li Z., and Teng Z. Boundedness and stability for nonautonomous cellular neural network with delay. Phys. Lett. A 306 (2003) 313-325
    • (2003) Phys. Lett. A , vol.306 , pp. 313-325
    • Jiang, H.1    Li, Z.2    Teng, Z.3
  • 9
    • 31144462819 scopus 로고    scopus 로고
    • Boundedness and global exponential stability for generalized Cohen-Grossberg neural networks with variable delay
    • Jiang M., Shen Y., and Liao X. Boundedness and global exponential stability for generalized Cohen-Grossberg neural networks with variable delay. Appl. Math. Comput. 172 (2006) 379-393
    • (2006) Appl. Math. Comput. , vol.172 , pp. 379-393
    • Jiang, M.1    Shen, Y.2    Liao, X.3
  • 10
    • 4143137701 scopus 로고    scopus 로고
    • Global exponential stability of cellular neural networks with time-varying coefficients and delays
    • Jiang H., and Teng Z. Global exponential stability of cellular neural networks with time-varying coefficients and delays. Neural Networks 17 (2004) 1415-1425
    • (2004) Neural Networks , vol.17 , pp. 1415-1425
    • Jiang, H.1    Teng, Z.2
  • 11
    • 2542598632 scopus 로고    scopus 로고
    • Boundedness and stability for autonomous bidirectional associative neural networks with delay
    • Jiang H., and Teng Z. Boundedness and stability for autonomous bidirectional associative neural networks with delay. IEEE Trans. Circuits Syst.-II 51 (2004) 174-180
    • (2004) IEEE Trans. Circuits Syst.-II , vol.51 , pp. 174-180
    • Jiang, H.1    Teng, Z.2
  • 12
    • 33745684651 scopus 로고    scopus 로고
    • Dynamics of neural networks with variable coefficients and time-varying delays
    • Jiang H., and Teng Z. Dynamics of neural networks with variable coefficients and time-varying delays. Neural Networks 19 (2006) 676-683
    • (2006) Neural Networks , vol.19 , pp. 676-683
    • Jiang, H.1    Teng, Z.2
  • 13
    • 28444448092 scopus 로고    scopus 로고
    • Existence and stability of periodic solutions of delayed cellular neural networks
    • Li Y., Zhu L., and Liu P. Existence and stability of periodic solutions of delayed cellular neural networks. Nonlinear Anal.: Real World Appl. 7 (2006) 225-234
    • (2006) Nonlinear Anal.: Real World Appl. , vol.7 , pp. 225-234
    • Li, Y.1    Zhu, L.2    Liu, P.3
  • 14
    • 0242318422 scopus 로고    scopus 로고
    • Boundedness and stability for recurrent neural networks with variable coefficients and time-varying delays
    • Liang J., and Cao J. Boundedness and stability for recurrent neural networks with variable coefficients and time-varying delays. Phys. Lett. A 318 (2003) 53-64
    • (2003) Phys. Lett. A , vol.318 , pp. 53-64
    • Liang, J.1    Cao, J.2
  • 15
    • 8444240791 scopus 로고    scopus 로고
    • Criteria for exponential stability of Cohen-Grossberg neural networks
    • Liao X., Li C., and Wong K. Criteria for exponential stability of Cohen-Grossberg neural networks. Neural Networks 17 (2004) 1401-1414
    • (2004) Neural Networks , vol.17 , pp. 1401-1414
    • Liao, X.1    Li, C.2    Wong, K.3
  • 16
    • 29644436526 scopus 로고    scopus 로고
    • Existence and global exponential stability of periodic solution of cellular neural networks with time-varying delays
    • Liu B., and Huang L. Existence and global exponential stability of periodic solution of cellular neural networks with time-varying delays. Phys. Lett. A 349 (2006) 274-483
    • (2006) Phys. Lett. A , vol.349 , pp. 274-483
    • Liu, B.1    Huang, L.2
  • 17
    • 1242322176 scopus 로고    scopus 로고
    • Existence and global exponential stability of periodic solution of cellular neural networks with time-varying delays
    • Liu Z., and Liao L. Existence and global exponential stability of periodic solution of cellular neural networks with time-varying delays. J. Math. Anal. Appl. 290 (2004) 247-262
    • (2004) J. Math. Anal. Appl. , vol.290 , pp. 247-262
    • Liu, Z.1    Liao, L.2
  • 18
    • 84972555145 scopus 로고
    • Periodic solutions of dissipative functional differential equations
    • Makay G. Periodic solutions of dissipative functional differential equations. Tohoku Math. J. 46 (1994) 417-426
    • (1994) Tohoku Math. J. , vol.46 , pp. 417-426
    • Makay, G.1
  • 19
    • 0013046313 scopus 로고    scopus 로고
    • Dynamics of a class of discrete-time neural networks and their continuous-time counter parts
    • Mohamad S., and Gopalsamy K. Dynamics of a class of discrete-time neural networks and their continuous-time counter parts. Math. Comput. Simulation 53 (2000) 1-39
    • (2000) Math. Comput. Simulation , vol.53 , pp. 1-39
    • Mohamad, S.1    Gopalsamy, K.2
  • 20
    • 4143144221 scopus 로고    scopus 로고
    • Boundedness and stability for nonautonomous cellular neural networks with delay
    • Rehim M., Jiang H., and Teng Z. Boundedness and stability for nonautonomous cellular neural networks with delay. Neural Networks 17 (2004) 1017-1025
    • (2004) Neural Networks , vol.17 , pp. 1017-1025
    • Rehim, M.1    Jiang, H.2    Teng, Z.3
  • 21
    • 3142686145 scopus 로고    scopus 로고
    • Exponential periodicity and stability of delayed neural networks
    • Sun C., and Feng C. Exponential periodicity and stability of delayed neural networks. Math. Comput. Simulation 66 (2004) 469-478
    • (2004) Math. Comput. Simulation , vol.66 , pp. 469-478
    • Sun, C.1    Feng, C.2
  • 22
    • 0033640658 scopus 로고    scopus 로고
    • Existence and learning of oscillations in recurrent neural networks
    • Townley S., et al. Existence and learning of oscillations in recurrent neural networks. IEEE Trans. Neural Networks 11 (2000) 205-214
    • (2000) IEEE Trans. Neural Networks , vol.11 , pp. 205-214
    • Townley, S.1
  • 23
    • 13544262698 scopus 로고    scopus 로고
    • Global exponential periodicity of a class of neural networks with recent-history distributed delays, Chaos
    • Yang X., Liao X., Megson G., and Evans D. Global exponential periodicity of a class of neural networks with recent-history distributed delays, Chaos. Solitons and Fractals 25 (2005) 441-447
    • (2005) Solitons and Fractals , vol.25 , pp. 441-447
    • Yang, X.1    Liao, X.2    Megson, G.3    Evans, D.4
  • 24
    • 0036475193 scopus 로고    scopus 로고
    • Absolute periodicity and absolute stability of delayed neural networks
    • Zhang Y., Pheng H.A., and Vadakkepat P. Absolute periodicity and absolute stability of delayed neural networks. IEEE Trans. Circuits Syst. I 49 (2002) 256-261
    • (2002) IEEE Trans. Circuits Syst. I , vol.49 , pp. 256-261
    • Zhang, Y.1    Pheng, H.A.2    Vadakkepat, P.3
  • 25
    • 0347511635 scopus 로고    scopus 로고
    • Dynamics of periodic delayed neural networks
    • Zhou J., Liu Z., and Chen G. Dynamics of periodic delayed neural networks. Neural Networks 17 (2004) 87-101
    • (2004) Neural Networks , vol.17 , pp. 87-101
    • Zhou, J.1    Liu, Z.2    Chen, G.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.