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Volumn 88, Issue 7, 2011, Pages 1327-1346

Multistable learning dynamics in second-order neural networks with time-varying delays

Author keywords

Attractivity; Exponential stability; Hebbian learning; Multistability; Second order networks

Indexed keywords


EID: 79956119662     PISSN: 00207160     EISSN: 10290265     Source Type: Journal    
DOI: 10.1080/00207160.2010.499145     Document Type: Article
Times cited : (2)

References (33)
  • 1
  • 2
    • 0038881348 scopus 로고
    • Mathematical theory of neural learning
    • S. Amari, Mathematical theory of neural learning, New Gener. Comput. 8 (1991), pp. 281-294.
    • (1991) New Gener. Comput. , vol.8 , pp. 281-294
    • Amari, S.1
  • 3
    • 45049087176 scopus 로고    scopus 로고
    • Multistability and multiperiodicity of delayed Cohen-Grossberg neural networks with a general class of activation functions
    • J.D. Cao, G. Feng, and Y. Wang, Multistability and multiperiodicity of delayed Cohen-Grossberg neural networks with a general class of activation functions, Physica D 237(13) (2008), pp. 1734-1749.
    • (2008) Physica D , vol.237 , Issue.13 , pp. 1734-1749
    • Cao, J.D.1    Feng, G.2    Wang, Y.3
  • 4
    • 10644236158 scopus 로고    scopus 로고
    • Exponential stability of high-order bidirectional associative memory neural networks with time delays
    • J. Cao, J. Liang, and J. Lam, Exponential stability of high-order bidirectional associative memory neural networks with time delays, Physica D 199(3) (2004), pp. 425-436.
    • (2004) Physica D , vol.199 , Issue.3 , pp. 425-436
    • Cao, J.1    Liang, J.2    Lam, J.3
  • 5
    • 0021776661 scopus 로고
    • A massively parallel architecture for a self-organizing neural pattern recognition machine
    • G.A. Carpenter and S. Grossberg, A massively parallel architecture for a self-organizing neural pattern recognition machine, Comput. Vis. Graph. Image Process. 37 (1987), pp. 54-115.
    • (1987) Comput. Vis. Graph. Image Process. , vol.37 , pp. 54-115
    • Carpenter, G.A.1    Grossberg, S.2
  • 6
    • 33845215509 scopus 로고    scopus 로고
    • Multistability and convergence in delayed neural networks
    • DOI 10.1016/j.physd.2006.10.003, PII S0167278906004015
    • C. Cheng, K. Lin, and C. Shih, Multistability and convergence in delayed neural networks, Physica D 225 (2007), pp. 61-74. (Pubitemid 44854234)
    • (2007) Physica D: Nonlinear Phenomena , vol.225 , Issue.1 , pp. 61-74
    • Cheng, C.-Y.1    Lin, K.-H.2    Shih, C.-W.3
  • 7
    • 0020970741 scopus 로고
    • Absolute stability of global pattern formation and parallel memory storage by competitive neural networks
    • M.A. Cohen and S. Grossberg, Absolute stability of global pattern formation and parallel memory storage by competitive neural networks, IEEE Trans. Syst. Man Cybern. 13 (1983), pp. 815-826.
    • (1983) IEEE Trans. Syst. Man Cybern. , vol.13 , pp. 815-826
    • Cohen, M.A.1    Grossberg, S.2
  • 9
    • 0034801030 scopus 로고    scopus 로고
    • On the stability analysis of delayed neural networks systems
    • DOI 10.1016/S0893-6080(01)00088-0, PII S0893608001000880
    • C.H. Feng and R. Plamondon, On the stability analysis of delayed neural networks systems, Neural Netw. 14(9) (2001), pp. 1181-1188. (Pubitemid 32910630)
    • (2001) Neural Networks , vol.14 , Issue.9 , pp. 1181-1188
    • Feng, C.1    Plamondon, R.2
  • 10
    • 0742286347 scopus 로고    scopus 로고
    • Stability analysis of bidirectional associative memory networks with time delays
    • C.H. Feng and R. Plamondon, Stability analysis of bidirectional associative memory networks with time delays, IEEE Trans. Neural Netw. 14(6) (2003), pp. 1560-1565.
    • (2003) IEEE Trans. Neural Netw. , vol.14 , Issue.6 , pp. 1560-1565
    • Feng, C.H.1    Plamondon, R.2
  • 11
    • 33845563283 scopus 로고    scopus 로고
    • Learning dynamics in second order networks
    • DOI 10.1016/j.nonrwa.2006.02.007, PII S1468121806000162
    • K. Gopalsamy, Learning dynamics in second order networks, Nonlin. Anal., Real World Appl. 8(2) (2007), pp. 688-698. (Pubitemid 44937872)
    • (2007) Nonlinear Analysis: Real World Applications , vol.8 , Issue.2 , pp. 688-698
    • Gopalsamy, K.1
  • 12
    • 33746390571 scopus 로고    scopus 로고
    • Second order neurons and learning in cohen-grossberg networks
    • DOI 10.1142/S0129065706000597, PII S0129065706000597
    • K. Gopalsamy, Second order neurons and learning in Cohen-Grossberg networks, Int. J. Neural Syst. 16(3) (2006), pp. 179-189. (Pubitemid 44127762)
    • (2006) International Journal of Neural Systems , vol.16 , Issue.3 , pp. 179-189
    • Gopalsamy, K.1
  • 13
    • 40949160588 scopus 로고    scopus 로고
    • Multistability in bidirectional associative memory neural networks
    • G. Huang and J.D. Cao, Multistability in bidirectional associative memory neural networks, Phys. Lett. A 372(16) (2008), pp. 2842-2854.
    • (2008) Phys. Lett. A , vol.372 , Issue.16 , pp. 2842-2854
    • Huang, G.1    Cao, J.D.2
  • 14
    • 68149136318 scopus 로고    scopus 로고
    • Convergence analysis of general neural networks under almost periodic stimuli
    • Z.K. Huang, S. Mohamad, X.H. Wang, and C.H. Feng, Convergence analysis of general neural networks under almost periodic stimuli, Int. J. Circuit Theory Appl. 37 (2009), pp. 723-750.
    • (2009) Int. J. Circuit Theory Appl. , vol.37 , pp. 723-750
    • Huang, Z.K.1    Mohamad, S.2    Wang, X.H.3    Feng, C.H.4
  • 15
    • 67651232488 scopus 로고    scopus 로고
    • Multistability of HNNs with almost periodic stimuli and continuously distributeddelays
    • Z.K. Huang, S. Mohamad, and H. Bin, Multistability of HNNs with almost periodic stimuli and continuously distributeddelays, Int. J. Syst. Sci. 40(6) (2009), pp. 615-625.
    • (2009) Int. J. Syst. Sci. , vol.40 , Issue.6 , pp. 615-625
    • Huang, Z.K.1    Mohamad, S.2    Bin, H.3
  • 16
    • 77955664061 scopus 로고    scopus 로고
    • Multistability in networks with self-excitation and high-order synaptic connectivity
    • Z.K. Huang, Q. Song, and C. Feng, Multistability in networks with self-excitation and high-order synaptic connectivity, IEEE Trans. Circuits Syst. I, Reg. Papers 57(8) (2010), pp. 2144-2155.
    • (2010) IEEE Trans. Circuits Syst. I, Reg. Papers , vol.57 , Issue.8 , pp. 2144-2155
    • Huang, Z.K.1    Song, Q.2    Feng, C.3
  • 17
    • 34249290385 scopus 로고    scopus 로고
    • Exponential p-stability of second order Cohen-Grossberg neural networks with transmission delays and learning behavior
    • Z.K. Huang and Y.H. Xia, Exponential p-stability of second order Cohen-Grossberg neural networks with transmission delays and learning behavior, Simulation Modelling Pract. Theory 15 (2007), pp. 622-634.
    • (2007) Simulation Modelling Pract. Theory , vol.15 , pp. 622-634
    • Huang, Z.K.1    Xia, Y.H.2
  • 19
    • 28244432161 scopus 로고    scopus 로고
    • Exponential stability of impulsive high-order Hopfield-type neural networks with time-varying delays
    • DOI 10.1109/TNN.2005.857949
    • X. Liu, K.L. Teo, and B. Xu, Exponential stability of impulsive high-order Hopfield type neural networks with time varying delays, IEEE Trans. Neural Netw. 16 (2005), pp. 1329-1339. (Pubitemid 41709634)
    • (2005) IEEE Transactions on Neural Networks , vol.16 , Issue.6 , pp. 1329-1339
    • Liu, X.1    Teo, K.L.2    Xu, B.3
  • 20
    • 33846896705 scopus 로고    scopus 로고
    • Novel global stability criteria for high-order Hopfield-type neural networks with time-varying delays
    • X. Lou and B. Cui, Novel global stability criteria for high-order Hopfield-type neural networks with time-varying delays, J. Math. Anal. Appl. 330 (2007), pp. 144-158.
    • (2007) J. Math. Anal. Appl. , vol.330 , pp. 144-158
    • Lou, X.1    Cui, B.2
  • 21
    • 33750116428 scopus 로고    scopus 로고
    • Global exponential stability of multitime scale competitive neural networks with nonsmooth functions
    • DOI 10.1109/TNN.2006.875995
    • H. Lu and S. Amari, Global exponential stability of multitime scale competitive neural networks with nonsmooth functions, IEEE Trans. Neural Netw. 17(5) (2006), pp. 1152-1164. (Pubitemid 46445174)
    • (2006) IEEE Transactions on Neural Networks , vol.17 , Issue.5 , pp. 1152-1164
    • Hongtao, L.1    Amari, S.-I.2
  • 22
    • 0037507236 scopus 로고    scopus 로고
    • Global exponential stability of competitive neural networks with different time scales
    • A. Meyer-Baese, S.S. Pilyugin, andY. Chen, Global exponential stability of competitive neural networks with different time scales, IEEE Trans. Neural Netw. 14 (2003), pp. 716-719.
    • (2003) IEEE Trans. Neural Netw. , vol.14 , pp. 716-719
    • Meyer-Baese, A.1    Pilyugin, S.S.2    Chen, Y.3
  • 23
    • 56549098455 scopus 로고    scopus 로고
    • Multistability of competitive neural networks wtih time-varying and distributed delays
    • X. Nie and J.D. Cao, Multistability of competitive neural networks wtih time-varying and distributed delays, Nonlinear Anal., Real World Appl. 10(2) (2009), pp. 928-942.
    • (2009) Nonlinear Anal., Real World Appl. , vol.10 , Issue.2 , pp. 928-942
    • Nie, X.1    Cao, J.D.2
  • 24
    • 0022633119 scopus 로고
    • Long term memory storage capacity of multiconnected neural networks
    • P. Paretto and J.J. Niez, Long term memory storage capacity of multiconnected neural networks, Biol. Cybern. 54 (1986), pp. 53-63. (Pubitemid 16108499)
    • (1986) Biological Cybernetics , vol.54 , Issue.1 , pp. 53-63
    • Peretto, P.1    Niez, J.J.2
  • 25
    • 0023834038 scopus 로고
    • Higher-order associative memories and their optical implementations
    • D. Psaltis, C.H. Park, and J. Hong, Higher-order associative memories and their optical implementations, Neural Netw. 1(2) (1988), pp. 149-163. (Pubitemid 18624021)
    • (1988) Neural Networks , vol.1 , Issue.2 , pp. 149-163
    • Psaltis Demetri1    Park Cheol Hoon2    Hong John3
  • 26
    • 33947661410 scopus 로고    scopus 로고
    • Periodic oscillation of higher-order BAM neural networks with periodic coefficients and delays
    • F. Ren and J. Cao, Periodic oscillation of higher-order BAM neural networks with periodic coefficients and delays, Nonlinearity 20(3) (2007), pp. 605-629.
    • (2007) Nonlinearity , vol.20 , Issue.3 , pp. 605-629
    • Ren, F.1    Cao, J.2
  • 27
    • 56349172264 scopus 로고    scopus 로고
    • Convergent dynamics for multistable delayed neural networks
    • C. Shih and J. Tseng, Convergent dynamics for multistable delayed neural networks, Nonlinearity 21(10) (2008), pp. 2361-2389.
    • (2008) Nonlinearity , vol.21 , Issue.10 , pp. 2361-2389
    • Shih, C.1    Tseng, J.2
  • 28
    • 0025434843 scopus 로고
    • Higher-ordered and intraconnected bidirectional associative memories
    • P.K. Simpson, Higher-ordered and intraconnected bidirectional associative memories, IEEE Trans. Syst. Man Cybern. 20 (1990), pp. 637-653.
    • (1990) IEEE Trans. Syst. Man Cybern. , vol.20 , pp. 637-653
    • Simpson, P.K.1
  • 29
    • 3042609871 scopus 로고    scopus 로고
    • Capacity of stable periodic solutions in discrete-time bidirectional associative memory neural networks
    • L. Wang and X.H. Zou, Capacity of stable periodic solutions in discrete-time bidirectional associative memory neural networks, IEEE Trans. Circuits Syst. II, Exp. Briefs 51(6) (2004), pp. 315-319.
    • (2004) IEEE Trans. Circuits Syst. II, Exp. Briefs , vol.51 , Issue.6 , pp. 315-319
    • Wang, L.1    Zou, X.H.2
  • 30
    • 67949121856 scopus 로고    scopus 로고
    • Lag synchronization of chaotic delayed Yang-Yang type fuzzyneural networks with noise perturbation based on adaptive control and parameter identiication
    • Y.H. Xia, Z. Yang, and M. Han, Lag synchronization of chaotic delayed Yang-Yang type fuzzyneural networks with noise perturbation based on adaptive control and parameter identiication, IEEE Trans. Neural Netw. 20(7) (2009), pp. 1165-1180.
    • (2009) IEEE Trans. Neural Netw. , vol.20 , Issue.7 , pp. 1165-1180
    • Xia, Y.H.1    Yang, Z.2    Han, M.3
  • 31
    • 33344456502 scopus 로고    scopus 로고
    • Global exponential stability of high order Hopfield type neural networks
    • DOI 10.1016/j.amc.2005.03.020, PII S0096300305004443
    • B. Xu, X. Liu, and X. Liao, Global exponential stabilityofhigh-order Hopield type neural networks, Appl. Math. Comput. 174 (2006), pp. 98-116. (Pubitemid 43288940)
    • (2006) Applied Mathematics and Computation , vol.174 , Issue.1 , pp. 98-116
    • Xu, B.1    Liu, X.2    Liao, X.3
  • 32
    • 33750093023 scopus 로고    scopus 로고
    • Multiperiodicity of discrete-time delayed neural networks evoked by periodic external inputs
    • DOI 10.1109/TNN.2006.877533
    • Z.G. Zeng and J. Wang, Multiperiodicity of discrete-time delayed neural networks evoked by periodic external inputs, IEEE Trans. Neural Netw. 17(5) (2006), pp. 1141-1151. (Pubitemid 46445173)
    • (2006) IEEE Transactions on Neural Networks , vol.17 , Issue.5 , pp. 1141-1151
    • Zeng, Z.1    Wang, J.2
  • 33
    • 34247631717 scopus 로고    scopus 로고
    • On global exponential stability of high-order neural networks with time-varying delays
    • B. Zhang, S. Xu, Y. Li, andY. Chu, On global exponential stability of high-order neural networks with time-varying delays, Phys. Lett. A 366 (2007), pp. 69-78.
    • (2007) Phys. Lett. A , vol.366 , pp. 69-78
    • Zhang, B.1    Xu, S.2    Li, Y.3    Chu, Y.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.