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Volumn 20, Issue 3, 2004, Pages 459-466

Existence and stability of periodic solutions for Cohen-Grossberg neural networks with multiple delays

Author keywords

[No Author keywords available]

Indexed keywords

FUNCTIONS; LYAPUNOV METHODS; ORDINARY DIFFERENTIAL EQUATIONS; THEOREM PROVING;

EID: 0242270962     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(03)00406-5     Document Type: Article
Times cited : (102)

References (18)
  • 1
    • 0020970741 scopus 로고
    • Absolute stability and global pattern formation and parallel memory storage by competitive neural networks
    • Cohen M., Grossberg S. Absolute stability and global pattern formation and parallel memory storage by competitive neural networks. IEEE Trans. Syst. Man Cybernet. SMC-13:1983;815-826.
    • (1983) IEEE Trans. Syst. Man Cybernet. , vol.SMC-13 , pp. 815-826
    • Cohen, M.1    Grossberg, S.2
  • 2
    • 0000256610 scopus 로고
    • Stability of analog neural networks with delay
    • Marcus C., Westervelt R. Stability of analog neural networks with delay. Phys. Rev. A. 39:1989;347-359.
    • (1989) Phys. Rev. A , vol.39 , pp. 347-359
    • Marcus, C.1    Westervelt, R.2
  • 4
    • 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. 350:1999;4799-4838.
    • (1999) Trans. Am. Math. Soc. , vol.350 , pp. 4799-4838
    • Wu, J.1
  • 5
    • 0003110652 scopus 로고
    • Patterns of sustained oscillations in neural networks with time delayed interactions
    • Wu J., Zou X. Patterns of sustained oscillations in neural networks with time delayed interactions. Appl. Math. Comput. 73:1995;55-75.
    • (1995) Appl. Math. Comput. , vol.73 , pp. 55-75
    • Wu, J.1    Zou, X.2
  • 6
    • 0001075269 scopus 로고
    • Stability in asymmetric Hopfield nets with transmission delays
    • Gopalsamy K., 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
  • 7
    • 0032298907 scopus 로고    scopus 로고
    • Global attractivity in delayed Hopfield neural network models
    • van den Driessche P., Zou X. Global attractivity in delayed Hopfield neural network models. SIAM J. Appl. Math. 58:1998;1878-1890.
    • (1998) SIAM J. Appl. Math. , vol.58 , pp. 1878-1890
    • Van den Driessche, P.1    Zou, X.2
  • 8
    • 0000655627 scopus 로고
    • Stability of the Hopfield neural networks
    • Liao X.X. Stability of the Hopfield neural networks. Sci. China. 23(5):1993;523-532.
    • (1993) Sci. China , vol.23 , Issue.5 , pp. 523-532
    • Liao, X.X.1
  • 9
    • 0004469897 scopus 로고
    • Neurons with graded response have collective computational properties like those of two-stage neurons
    • Hopfield J. Neurons with graded response have collective computational properties like those of two-stage neurons. Proc. Natl. Acad. Sci. USA. 81:1984;3088-3092.
    • (1984) Proc. Natl. Acad. Sci. USA , vol.81 , pp. 3088-3092
    • Hopfield, J.1
  • 10
    • 0000791959 scopus 로고
    • Global stability and local stability of hopfield neural networks with delays
    • Ye H., Michel A.N., Wang K. Global stability and local stability of hopfield neural networks with delays. Phys. Rev. E. 50:1994;4206-4213.
    • (1994) Phys. Rev. E , vol.50 , pp. 4206-4213
    • Ye, H.1    Michel, A.N.2    Wang, K.3
  • 11
    • 5644283608 scopus 로고
    • Qualitative analysis of Cohen-Grossberg neural networks with multiple delays
    • Ye H., Michel A.N., Wang K. Qualitative analysis of Cohen-Grossberg neural networks with multiple delays. Phys. Rev. E. 51:1995;2611-2618.
    • (1995) Phys. Rev. E , vol.51 , pp. 2611-2618
    • Ye, H.1    Michel, A.N.2    Wang, K.3
  • 12
    • 0036722564 scopus 로고    scopus 로고
    • Harmless delays in Cohen-Grossberg neural networks
    • Wang L., Zou X. Harmless delays in Cohen-Grossberg neural networks. Physica D. 170:2002;162-173.
    • (2002) Physica D , vol.170 , pp. 162-173
    • Wang, L.1    Zou, X.2
  • 13
    • 0035989169 scopus 로고    scopus 로고
    • Exponential stability of Cohen-Grossberg neural networks
    • Wang L., Zou X. Exponential stability of Cohen-Grossberg neural networks. Neural Networks. 15:2002;415-422.
    • (2002) Neural Networks , vol.15 , pp. 415-422
    • Wang, L.1    Zou, X.2
  • 14
    • 0347130009 scopus 로고    scopus 로고
    • Stability and bifurcation in a neural network model with two delays
    • Wei J.J., Ruan S.G. Stability and bifurcation in a neural network model with two delays. Physica D. 130:1999;255-272.
    • (1999) Physica D , vol.130 , pp. 255-272
    • Wei, J.J.1    Ruan, S.G.2
  • 16
    • 0003295303 scopus 로고
    • Topological degree methods in nonlinear boundary value problems
    • Providence, RI: American Mathematical Society
    • Mawhin J. Topological degree methods in nonlinear boundary value problems. CBMS Regional Conference Series in Mathematics. vol. 40:1979;American Mathematical Society, Providence, RI.
    • (1979) CBMS Regional Conference Series in Mathematics , vol.40
    • Mawhin, J.1
  • 17
    • 0035285146 scopus 로고    scopus 로고
    • Periodic solutions of periodic delay Lotka-Volterra equations and systems
    • Li Y.K., Kuang Y. Periodic solutions of periodic delay Lotka-Volterra equations and systems. J. Math. Anal. Appl. 255:2001;260-280.
    • (2001) J. Math. Anal. Appl. , vol.255 , pp. 260-280
    • Li, Y.K.1    Kuang, Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.