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Volumn 111, Issue 1-4, 1998, Pages 288-294

A class of convergent neural network dynamics

Author keywords

Convergence; Heteroclinic cycles; Lotka Volterra systems; Lyapunov function; Neural networks

Indexed keywords


EID: 0000618753     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(97)80016-4     Document Type: Article
Times cited : (17)

References (15)
  • 1
    • 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. Systems Man and Cybernet. SMC-13 (5) (1983) 815-826.
    • (1983) IEEE Trans. Systems Man and Cybernet. , vol.SMC-13 , Issue.5 , pp. 815-826
    • Cohen, M.A.1    Grossberg, S.2
  • 4
    • 22244479173 scopus 로고    scopus 로고
    • On the global limits and oscillations of a system of nonlinear differential equations describing a flow of a probablistic network
    • S. Grossberg, On the global limits and oscillations of a system of nonlinear differential equations describing a flow of a probablistic network, J. Differential Equations 5, 531-563.
    • J. Differential Equations , vol.5 , pp. 531-563
    • Grossberg, S.1
  • 5
    • 0001390008 scopus 로고    scopus 로고
    • On learning and energy-entropy dependence in recurrent and nonrecurrent signed networks
    • S. Grossberg, On learning and energy-entropy dependence in recurrent and nonrecurrent signed networks, J. Stat. Phys. 5, 319-350.
    • J. Stat. Phys. , vol.5 , pp. 319-350
    • Grossberg, S.1
  • 6
    • 0015042185 scopus 로고
    • Pavlovian pattern learning by nonlinear neural networks
    • S. Grossberg, Pavlovian pattern learning by nonlinear neural networks, Proc. Nat. Acad. Sci. 68 (1971) 828-831.
    • (1971) Proc. Nat. Acad. Sci. , vol.68 , pp. 828-831
    • Grossberg, S.1
  • 7
    • 84961365499 scopus 로고
    • Contour enhancement, short term memory, and constancies in reverberating neural networks
    • S. Grossberg, Contour enhancement, short term memory, and constancies in reverberating neural networks, Stud. in Appl. Math. 52 (1973) 217-257.
    • (1973) Stud. in Appl. Math. , vol.52 , pp. 217-257
    • Grossberg, S.1
  • 8
    • 0000028620 scopus 로고
    • Competition, decision, and consensus
    • S. Grossberg, Competition, decision, and consensus, J. Math. Anal. Appl. 66 (1978) 470-493.
    • (1978) J. Math. Anal. Appl. , vol.66 , pp. 470-493
    • Grossberg, S.1
  • 9
    • 0018179347 scopus 로고
    • Decisions, patterns, and oscillations in the dynamics of competitive systems with applications to Volterra-Lotka systems
    • S. Grossberg, Decisions, patterns, and oscillations in the dynamics of competitive systems with applications to Volterra-Lotka systems, J. Theoret. Biol. 73 (1978) 101-130.
    • (1978) J. Theoret. Biol. , vol.73 , pp. 101-130
    • Grossberg, S.1
  • 11
    • 0024909476 scopus 로고
    • Convergent activation dynamics in continuous time networks
    • M. Hirsch, Convergent activation dynamics in continuous time networks, Neural Networks 2 (1989) 331-349.
    • (1989) Neural Networks , vol.2 , pp. 331-349
    • Hirsch, M.1
  • 12
    • 0020118274 scopus 로고
    • Neural networks and physical systems with emergent collective computational abilities
    • J.J. Hopfield, Neural networks and physical systems with emergent collective computational abilities, Proc. Nat. Acad. Sci. 79 (1982) 2554-2558.
    • (1982) Proc. Nat. Acad. Sci. , vol.79 , pp. 2554-2558
    • Hopfield, J.J.1
  • 13
    • 0004469897 scopus 로고
    • Neurons with graded response have collective computational properties like those of two-state neurons
    • J.J. Hopfield, Neurons with graded response have collective computational properties like those of two-state neurons, Proc. Nat. Acad. Sci. 81 (1984) 3088-3092.
    • (1984) Proc. Nat. Acad. Sci. , vol.81 , pp. 3088-3092
    • Hopfield, J.J.1
  • 14
    • 0000268789 scopus 로고
    • Nonlinear aspects of competition between three species
    • R.M. May and W.J. Leonard, Nonlinear aspects of competition between three species, SIAM J. Appl. Math. 29 (1975) 243-253.
    • (1975) SIAM J. Appl. Math. , vol.29 , pp. 243-253
    • May, R.M.1    Leonard, W.J.2
  • 15
    • 0002545780 scopus 로고
    • On ω-limits for competition between three species
    • P. Schuster, K. Sigmund and R. Wolff, On ω-limits for competition between three species, SIAM J. Appl. Math. 37 (1979) 49-54.
    • (1979) SIAM J. Appl. Math. , vol.37 , pp. 49-54
    • Schuster, P.1    Sigmund, K.2    Wolff, R.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.