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Volumn 51, Issue 12, 2004, Pages 2491-2503

Synchronization of coupled connected neural networks with delays

Author keywords

Chaos; Delays; Dynamical systems; Neural network; Synchronization

Indexed keywords

CHAOS THEORY; COMPUTER SIMULATION; DELAY CIRCUITS; EIGENVALUES AND EIGENFUNCTIONS; IMAGE PROCESSING; MATHEMATICAL MODELS; MATRIX ALGEBRA; SYNCHRONIZATION; THEOREM PROVING;

EID: 10944223518     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCSI.2004.838308     Document Type: Article
Times cited : (418)

References (28)
  • 1
    • 0020970741 scopus 로고
    • "Absolute stability of global pattern formation and parallel memory storage by competitive neural networks"
    • Apr
    • 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., vol. SMC-13, pp. 815-826, Apr. 1983.
    • (1983) IEEE Trans. Syst. Man, Cybern. , vol.SMC-13 , pp. 815-826
    • Cohen, M.A.1    Grossberg, S.2
  • 2
    • 0022721216 scopus 로고
    • "Simple neural optimization networks: An A/D converter, signal decision circuit and a linear programming circuit"
    • Apr
    • D. Tank and J. J. Hopfield, "Simple neural optimization networks: An A/ D converter, signal decision circuit and a linear programming circuit," IEEE Trans. Circuits Syst., vol. CAS-33, pp. 533-541, Apr. 1986.
    • (1986) IEEE Trans. Circuits Syst. , vol.CAS-33 , pp. 533-541
    • Tank, D.1    Hopfield, J.J.2
  • 3
    • 0004469897 scopus 로고
    • "Neurons with graded response have collective computation properties like those of two-stage neurons"
    • J. J. Hopfield, "Neurons with graded response have collective computation properties like those of two-stage neurons," Proc. Nat. Acad. Sci. USA (Biophysical), vol. 81, pp. 3088-3092, 1984.
    • (1984) Proc. Nat. Acad. Sci. USA (Biophysical) , vol.81 , pp. 3088-3092
    • Hopfield, J.J.1
  • 4
    • 0032606218 scopus 로고    scopus 로고
    • "Convergence of delayed dynamical systems"
    • T. Chen, "Convergence of delayed dynamical systems," Neural Processing Lett., vol. 10, no. 3, pp. 267-271, 1999.
    • (1999) Neural Processing Lett. , vol.10 , Issue.3 , pp. 267-271
    • Chen, T.1
  • 5
    • 0035117091 scopus 로고    scopus 로고
    • "Stability of asymmetric Hopfield neural networks"
    • Jan
    • T. Chen and S. Amari, "Stability of asymmetric Hopfield neural networks," IEEE Trans. Neural Netw., vol. 12, pp. 159-163, Jan. 2001.
    • (2001) IEEE Trans. Neural Netw. , vol.12 , pp. 159-163
    • Chen, T.1    Amari, S.2
  • 6
    • 0034849714 scopus 로고    scopus 로고
    • "Global exponential stability of delayed Hopfield neural networks"
    • T. Chen, "Global exponential stability of delayed Hopfield neural networks," Neural Netw., vol. 14, no. 8, pp. 977-980, 2001.
    • (2001) Neural Netw. , vol.14 , Issue.8 , pp. 977-980
    • Chen, T.1
  • 7
    • 1442277651 scopus 로고    scopus 로고
    • "Global exponential stability of delayed periodic dynamical systems"
    • Y. Zheng and T. Chen, "Global exponential stability of delayed periodic dynamical systems," Phys. Lett. A, vol. 322, no. 5-6, pp. 344-355, 2004.
    • (2004) Phys. Lett. A , vol.322 , Issue.5-6 , pp. 344-355
    • Zheng, Y.1    Chen, T.2
  • 8
    • 0000697741 scopus 로고
    • "Chaos in random neural networks"
    • H. Sompolinsky and A. Crisanti, "Chaos in random neural networks," Phys. Rev. Lett., vol. 61, no. 3, pp. 259-262, 1988.
    • (1988) Phys. Rev. Lett. , vol.61 , Issue.3 , pp. 259-262
    • Sompolinsky, H.1    Crisanti, A.2
  • 9
    • 21844492753 scopus 로고
    • "Coexistence of low- and high-dimensional spatio-temporal chaos in a chain of dissipatively coupled Chua's circuits"
    • A. Zheleznyak and L. O. Chua, "Coexistence of low- and high-dimensional spatio-temporal chaos in a chain of dissipatively coupled Chua's circuits," Int. J. Bifur. Chaos, vol. 4, no. 3, pp. 639-672, 1994.
    • (1994) Int. J. Bifur. Chaos , vol.4 , Issue.3 , pp. 639-672
    • Zheleznyak, A.1    Chua, L.O.2
  • 10
    • 0000832513 scopus 로고
    • "Autowaves principles for parallel image processing"
    • V. I. Krinsky, V. N. Biktashev, and I. R. Efimov, "Autowaves principles for parallel image processing," Phys. D., vol. 49, pp. 247-253, 1991.
    • (1991) Phys. D. , vol.49 , pp. 247-253
    • Krinsky, V.I.1    Biktashev, V.N.2    Efimov, I.R.3
  • 11
    • 33747339347 scopus 로고
    • "Image processing using light-sensitive chemical waves"
    • L. Kunbert, K. I. Agladze, and V. I. Krinsky, "Image processing using light-sensitive chemical waves," Nature, vol. 337, pp. 244-247, 1989.
    • (1989) Nature , vol.337 , pp. 244-247
    • Kunbert, L.1    Agladze, K.I.2    Krinsky, V.I.3
  • 12
    • 0027562437 scopus 로고
    • "Autowaves for image processing on a two-dimensional CNN array of excitable nonlinear circuits: Flat and wrinkled labyrinths"
    • Feb
    • V. Perez-Munuzuri, V. Perez-Villar, and L. O. Chua, "Autowaves for image processing on a two-dimensional CNN array of excitable nonlinear circuits: Flat and wrinkled labyrinths," IEEE Trans. Circuits Syst. I, vol. 40, pp. 174-181, Feb. 1993.
    • (1993) IEEE Trans. Circuits Syst. I , vol.40 , pp. 174-181
    • Perez-Munuzuri, V.1    Perez-Villar, V.2    Chua, L.O.3
  • 14
  • 15
    • 0025567093 scopus 로고
    • "Synchronization of pulse-coupled biological oscillators"
    • R. E. Mirollo and S. H. Strogatz, "Synchronization of pulse-coupled biological oscillators," SIAM J. Applicat. Math., vol. 50, no. 6, pp. 1645-1662, 1990.
    • (1990) SIAM J. Applicat. Math. , vol.50 , Issue.6 , pp. 1645-1662
    • Mirollo, R.E.1    Strogatz, S.H.2
  • 16
    • 0035936872 scopus 로고    scopus 로고
    • "Modulation of oscillatory neuronal synchronization by selective visual attention"
    • P. Fries, J. H. Reynolds, J. H. Rorie, and R. Desimore, "Modulation of oscillatory neuronal synchronization by selective visual attention," Science, vol. 291, no. 23, pp. 1560-1563, 2001.
    • (2001) Science , vol.291 , Issue.23 , pp. 1560-1563
    • Fries, P.1    Reynolds, J.H.2    Rorie, J.H.3    Desimore, R.4
  • 17
    • 0034624724 scopus 로고    scopus 로고
    • "Attention modulate synchronized neuronal firing in primate somatosensory cortex"
    • P. N. Steinmetz, A. Roy, P. J. Fitzgerald, S. S. Hsiao, K. O. Johnson, and E. Niebar, "Attention modulate synchronized neuronal firing in primate somatosensory cortex," Nature, vol. 404, no. 9, pp. 487-490, 2000.
    • (2000) Nature , vol.404 , Issue.9 , pp. 487-490
    • Steinmetz, P.N.1    Roy, A.2    Fitzgerald, P.J.3    Hsiao, S.S.4    Johnson, K.O.5    Niebar, E.6
  • 18
    • 0024088955 scopus 로고
    • "Cellular neural networks: Theory"
    • Oct
    • L. O. Chua and L. Yang, "Cellular neural networks: Theory," IEEE Trans. Circuits Syst., vol. 35, pp. 1257-1272, Oct. 1988.
    • (1988) IEEE Trans. Circuits Syst. , vol.35 , pp. 1257-1272
    • Chua, L.O.1    Yang, L.2
  • 19
    • 0024092072 scopus 로고
    • "Cellular neural networks: Applications"
    • Oct
    • L. O. Chua and L. Yang, "Cellular neural networks: Applications," IEEE Trans. Circuits Syst., vol. 35, pp. 1273-1290, Oct. 1988.
    • (1988) IEEE Trans. Circuits Syst. , vol.35 , pp. 1273-1290
    • Chua, L.O.1    Yang, L.2
  • 20
    • 0034186952 scopus 로고    scopus 로고
    • "Pattern recognition via synchronization in phase-locked loop neural networks"
    • Mar
    • F. C. Hoppensteadt and E. M. Izhikevich, "Pattern recognition via synchronization in phase-locked loop neural networks," IEEE Trans. Neural Netw., vol. 11, pp. 734-738, Mar. 2000.
    • (2000) IEEE Trans. Neural Netw. , vol.11 , pp. 734-738
    • Hoppensteadt, F.C.1    Izhikevich, E.M.2
  • 21
    • 0031676372 scopus 로고    scopus 로고
    • "A secure communication scheme based on cellular neural networks"
    • Y. Zhang and Z. He, "A secure communication scheme based on cellular neural networks," in Proc. IEEE Int. Conf. Intelligent Processing Systems, vol. 1, 1997, pp. 521-524.
    • (1997) Proc. IEEE Int. Conf. Intelligent Processing Systems , vol.1 , pp. 521-524
    • Zhang, Y.1    He, Z.2
  • 22
    • 0001159210 scopus 로고    scopus 로고
    • "Synchronization conditions and desynchronization patterns in coupled lmit-cycle and chaotic systems"
    • L. M. Pecora, "Synchronization conditions and desynchronization patterns in coupled lmit-cycle and chaotic systems," Phys. Rev. E no. 58, pp. 347-360, 1998.
    • (1998) Phys. Rev. E , Issue.58 , pp. 347-360
    • Pecora, L.M.1
  • 23
    • 0034134720 scopus 로고    scopus 로고
    • "Synchonization stability in coupled oscillator arrays: Solution for arbitrary configuration"
    • L. Pecora, T. Carroll, G. Johnson, D. Mar, and K. S. Fink, "Synchonization stability in coupled oscillator arrays: Solution for arbitrary configuration," Int. J. Bifurc. Chaos, vol. 10, no. 2, pp. 273-290, 2000.
    • (2000) Int. J. Bifurc. Chaos , vol.10 , Issue.2 , pp. 273-290
    • Pecora, L.1    Carroll, T.2    Johnson, G.3    Mar, D.4    Fink, K.S.5
  • 24
    • 0036125429 scopus 로고    scopus 로고
    • "Synchronization in scale-free dynamical networks: Robustness and fragility"
    • Jan
    • X. F. Wang and G. Chen, "Synchronization in scale-free dynamical networks: Robustness and fragility," IEEE Trans. Circuits Syst. I vol. 49, pp. 54-62, Jan. 2002.
    • (2002) IEEE Trans. Circuits Syst. I , vol.49 , pp. 54-62
    • Wang, X.F.1    Chen, G.2
  • 25
    • 0029358909 scopus 로고
    • "Synchronization in an array of linearly coupled dynamical systems"
    • Aug
    • C. W. Wu and L. O. Chua, "Synchronization in an array of linearly coupled dynamical systems," IEEE Trans. Circuits Syst. I, vol. 42, pp. 430-447, Aug. 1995.
    • (1995) IEEE Trans. Circuits Syst. I , vol.42 , pp. 430-447
    • Wu, C.W.1    Chua, L.O.2
  • 26
    • 0036340313 scopus 로고    scopus 로고
    • "Synchronization in small-world dynamical networks"
    • X. F. Wang and G. Chen, "Synchronization in small-world dynamical networks," Int. J. Bifurc. Chaos, vol. 12, no. 1, pp. 187-192, 2002.
    • (2002) Int. J. Bifurc. Chaos , vol.12 , Issue.1 , pp. 187-192
    • Wang, X.F.1    Chen, G.2
  • 28
    • 0035211749 scopus 로고    scopus 로고
    • "Chaotic communication using generalized synchronization"
    • J. R. Terry and G. D. VanWiggeren, "Chaotic communication using generalized synchronization," Chaos, Solit. Fract., vol. 12, pp. 145-152, 2001.
    • (2001) Chaos, Solit. Fract. , vol.12 , pp. 145-152
    • Terry, J.R.1    VanWiggeren, G.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.