메뉴 건너뛰기




Volumn 5, Issue 5, 1994, Pages 719-729

Exponential Stability and Oscillation of Hopfield Graded Response Neural Network

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; AMPLIFIERS (ELECTRONIC); CONSTRAINT THEORY; DIFFERENTIAL EQUATIONS; ELECTRIC RESISTANCE; FUNCTION EVALUATION; LYAPUNOV METHODS; MATRIX ALGEBRA; OSCILLATIONS; SPURIOUS SIGNAL NOISE; SYSTEM STABILITY;

EID: 0028497220     PISSN: 10459227     EISSN: 19410093     Source Type: Journal    
DOI: 10.1109/72.317724     Document Type: Article
Times cited : (119)

References (21)
  • 1
    • 0003657118 scopus 로고
    • Analysis of Neural Networks
    • S. Levin, Ed. Berlin, Heidelberg, New York: Springer-Verlag
    • U. Van der Heiden, “Analysis of Neural Networks,” Lee. Notes in Biomathematics 35, S. Levin, Ed. Berlin, Heidelberg, New York: Springer-Verlag, 1980.
    • (1980) Lee. Notes in Biomathematics 35
    • Vander Heiden, U.1
  • 2
    • 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 and Cyber., vol. 13, no. 5, pp. 815–826, 1983.
    • (1983) IEEE Trans. Syst., Man and Cyber , vol.13 , Issue.5 , pp. 815-826
    • Cohen, M.A.1    Grossberg, S.2
  • 3
    • 0003529075 scopus 로고    scopus 로고
    • Brownian Motion and Martingales in Analysis
    • Wadsworth, Inc.
    • R. Durrett, Brownian Motion and Martingales in Analysis. Wadsworth, Inc., 1984.
    • Durrett, R.1
  • 4
    • 0003767860 scopus 로고    scopus 로고
    • Pathways to Solutions, Fixed Points and Equilibria
    • Englewood Cliffs, NJ: Prentice-Hall
    • C. B. Garcia and W. I. Zangwill, Pathways to Solutions, Fixed Points and Equilibria. Englewood Cliffs, NJ: Prentice-Hall, 1981.
    • Garcia, C.B.1    Zangwill, W.I.2
  • 5
    • 40649128119 scopus 로고
    • Nonlinear neural networks: Principles, mechanisms, and architectures
    • S. Grossberg, “Nonlinear neural networks: Principles, mechanisms, and architectures,” Neural Networks, vol. 1, pp. 17–61, 1988.
    • (1988) Neural Networks , vol.1 , pp. 17-61
    • Grossberg, S.1
  • 6
    • 0003478288 scopus 로고    scopus 로고
    • Nonlinear Oscillations Dynamical Systems, and Bifurcations of Vector Fields
    • New York: Springer-Verlag
    • J. Guckenheimer and P. Holmes, Nonlinear Oscillations Dynamical Systems, and Bifurcations of Vector Fields. New York: Springer-Verlag, 1983.
    • Guckenheimer, J.1    Holmes, P.2
  • 7
    • 84941541490 scopus 로고
    • Stochastic stability of differential equations
    • Swierczkowski, Ed.
    • R. Z. Hasminskii, “Stochastic stability of differential equations,” D. Louvish, Trans., Swierczkowski, Ed., 1980.
    • (1980) D. Louvish, Trans
    • Hasminskii, R.Z.1
  • 8
    • 0002703577 scopus 로고
    • Existence of periodic solutions for negative feedback cellular control systems
    • S. Hastings, J. J. Tyson, and D. Webster, “Existence of periodic solutions for negative feedback cellular control systems,” J. Diff. Equations vol. 25, pp. 39–64, 1977.
    • (1977) J. Diff. Equations , vol.25 , pp. 39-64
    • Hastings, S.1    Tyson, J.J.2    Webster, D.3
  • 9
    • 0024909476 scopus 로고
    • Convergent activation dynamics in continuous time networks
    • M. W. Hirsch, “Convergent activation dynamics in continuous time networks,” Neural Networks, vol. 2, pp. 331–349, 1989.
    • (1989) Neural Networks , vol.2 , pp. 331-349
    • Hirsch, M.W.1
  • 10
    • 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. Natl. Acad. Sci. USA, vol. 81, pp. 3088–3092, 1984.
    • (1984) Proc. Natl. Acad. Sci. USA , vol.81 , pp. 3088-3092
    • Hopfield, J.J.1
  • 11
    • 0021835689 scopus 로고
    • 'Neural' computation of decisions in optimization problems
    • J. J. Hopfield and D. W. Tank, “'Neural’ computation of decisions in optimization problems,” Biol. Cybern., vol. 52, pp. 141–152, 1985.
    • (1985) Biol. Cybern , vol.52 , pp. 141-152
    • Hopfield, J.J.1    Tank, D.W.2
  • 12
    • 0025405546 scopus 로고
    • Stability in contractive nonlinear neural networks
    • D. G. Kelly, “Stability in contractive nonlinear neural networks,” IEEE Transactions on Biomed. Eng., vol. 37, no. 3, pp. 231–242, 1990.
    • (1990) IEEE Transactions on Biomed. Eng , vol.37 , Issue.3 , pp. 231-242
    • Kelly, D.G.1
  • 13
    • 0001278980 scopus 로고
    • A self-optimizing, nonsymmetrical neural net for content addressable memory and pattern recognition
    • A. Lapedes and R. Farber, “A self-optimizing, nonsymmetrical neural net for content addressable memory and pattern recognition,” Physica, vol. 22D, pp. 247–259, 1986.
    • (1986) Physica , vol.22D , pp. 247-259
    • Lapedes, A.1    Farber, R.2
  • 14
    • 0024054127 scopus 로고
    • Qualitative analysis and synthesis of a class of neural networks
    • J. H. Li, A. N. Michel, and W. Porod, “Qualitative analysis and synthesis of a class of neural networks,” IEEE Trans. Circuits Syst., vol. 35, no. 8, pp. 976–986, 1988.
    • (1988) IEEE Trans. Circuits Syst , vol.35 , Issue.8 , pp. 976-986
    • Li, J.H.1    Michel, A.N.2    Porod, W.3
  • 15
    • 0024610496 scopus 로고
    • Qualitative analysis of neural networks
    • A. N. Michel, J. A. Farrell, and W. Porod, “Qualitative analysis of neural networks,” IEEE Trans. Circuits Syst., vol. 36, no. 2, 229–243, 1989.
    • (1989) IEEE Trans. Circuits Syst , vol.36 , Issue.2 , pp. 229-243
    • Michel, A.N.1    Farrell, J.A.2    Porod, W.3
  • 16
    • 1842334984 scopus 로고
    • Nerve cells as source of time scale and processing density in brain function
    • J. Midtgaard and J. Hounsgaard, “Nerve cells as source of time scale and processing density in brain function,” Int. J. Neural Syst., vol. 1, no. 1, pp. 89–94, 1989.
    • (1989) Int. J. Neural Syst , vol.1 , Issue.1 , pp. 89-94
    • Midtgaard, J.1    Hounsgaard, J.2
  • 17
    • 0003855956 scopus 로고    scopus 로고
    • Ordinary Differential Equations
    • New York: Academic Press
    • R. K. Miller and A. N. Michel, Ordinary Differential Equations, New York: Academic Press, 1982.
    • Miller, R.K.1    Michel, A.N.2
  • 18
    • 0001608026 scopus 로고
    • Feature discovery by competitive learning
    • D. E. Rumelhart, J. L. McClelland and the PDP Research Group, Eds. Cambridge, MA: MIT Press
    • D. E. Rumelhart and D. Zipser, “Feature discovery by competitive learning,” in Parallel Distributed Processing, D. E. Rumelhart, J. L. McClelland and the PDP Research Group, Eds. Cambridge, MA: MIT Press, 1986.
    • (1986) Parallel Distributed Processing
    • Rumelhart, D.E.1    Zipser, D.2
  • 19
    • 0026218699 scopus 로고
    • Equilibrium characterization of dynamical neural networks and a systematic synthesis procedure for associative memories
    • S. I. Sudharsanan and M. K. Sundareshan, “Equilibrium characterization of dynamical neural networks and a systematic synthesis procedure for associative memories,” IEEE Trans. Neural Networks, vol. 2, no. 5, pp. 509–521, 1991.
    • (1991) IEEE Trans. Neural Networks , vol.2 , Issue.5 , pp. 509-521
    • Sudharsanan, S.I.1    Sundareshan, M.K.2
  • 20
    • 0022721216 scopus 로고
    • Simple 'neural' optimization networks: An A/D converter, signal decision circuit and a linear programming circuit
    • D. W. Tank and J. J. Hopfield, “Simple 'neural’ optimization networks: An A/D converter, signal decision circuit and a linear programming circuit,” IEEE Trans. Circuit Syst., vol. 33, no. 5, pp. 533–541, 1986.
    • (1986) IEEE Trans. Circuit Syst , vol.33 , Issue.5 , pp. 533-541
    • Tank, D.W.1    Hopfield, J.J.2
  • 21
    • 84941541491 scopus 로고
    • Optimality of the master-slave method
    • Beijing China, Nov. 3–6
    • Hua Yang and T. S. Dillon, “Optimality of the master-slave method,” International Joint Conference on Neural Networks, Beijing China, Nov. 3–6, 1992, pp. 1-463–1-468.
    • (1992) International Joint Conference on Neural Networks , pp. 1-463-1-468
    • Hua, Y.1    Dillon, T.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.