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Volumn SMC-13, Issue 5, 1983, Pages 815-826

Absolute Stability of Global Pattern Formation and Parallel Memory Storage by Competitive Neural Networks

Author keywords

[No Author keywords available]

Indexed keywords

CENTRAL NERVOUS SYSTEM; HUMAN; INFORMATION SCIENCE; MATHEMATICAL MODEL; MEMORY; NERVE CELL NETWORK; NERVOUS SYSTEM; NONBIOLOGICAL MODEL; NONHUMAN; VISUAL SYSTEM;

EID: 0020970741     PISSN: 00189472     EISSN: 21682909     Source Type: Journal    
DOI: 10.1109/TSMC.1983.6313075     Document Type: Article
Times cited : (2124)

References (37)
  • 1
    • 0018456198 scopus 로고
    • Bursting phenomena in excitable membranes
    • G. A. Carpenter, “Bursting phenomena in excitable membranes,” SIAM J. Appl. Math., vol. 36, pp. 334-372, 1979.
    • (1979) SIAM J. Appl. Math. , vol.36 , pp. 334-372
    • Carpenter, G.A.1
  • 2
    • 84886366646 scopus 로고
    • Normal and abnormal signal patterns in nerve cells
    • S. Grossberg, Ed. Providence, RI: Amer. Math. Soc.
    • G. A. Carpenter, “Normal and abnormal signal patterns in nerve cells,” in Mathematical Psychology and Psychophysiology, S. Grossberg, Ed. Providence, RI: Amer. Math. Soc., 1981, pp. 48-90.
    • (1981) Mathematical Psychology and Psychophysiology , pp. 48-90
    • Carpenter, G.A.1
  • 3
    • 70350232735 scopus 로고
    • Some global properties of binocular resonances: Disparity matching, filling-in, and figure ground systhesis
    • T. Caelli and P. Dodwell, Eds. Hillsdale, NJ: Erlbaum Press
    • M. A. Cohen and S. Grossberg, “Some global properties of binocular resonances: Disparity matching, filling-in, and figure ground systhesis,” in Figural Synthesis, T. Caelli and P. Dodwell, Eds. Hillsdale, NJ: Erlbaum Press, 1983.
    • (1983) Figural Synthesis
    • Cohen, M.A.1    Grossberg, S.2
  • 4
    • 0018085524 scopus 로고
    • The hypercycle: A principle of natural self-organization. B. The abstract hypercycle
    • M. Eigen and P. Schuster, “The hypercycle: A principle of natural self-organization. B. The abstract hypercycle,” Naturwissenschaften, vol. 65, pp. 7-41, 1978.
    • (1978) Naturwissenschaften , vol.65 , pp. 7-41
    • Eigen, M.1    Schuster, P.2
  • 5
    • 0016737517 scopus 로고
    • Pattern formation, contrast control, and oscillations in the short term memory of shunting on-center off-surround networks
    • S. A. Ellias and S. Grossberg, “Pattern formation, contrast control, and oscillations in the short term memory of shunting on-center off-surround networks,” Biol. Cybern., vol. 20, pp. 69-98, 1975.
    • (1975) Biol. Cybern. , vol.20 , pp. 69-98
    • Ellias, S.A.1    Grossberg, S.2
  • 6
    • 0015760853 scopus 로고
    • Global models of growth and competition
    • M. E. Gilpin and F. J. Ayala, “Global models of growth and competition,” Proc. Nat. Acad. Sci., vol. 70, pp. 3590-3593, 1973.
    • (1973) Proc. Nat. Acad. Sci. , vol.70 , pp. 3590-3593
    • Gilpin, M.E.1    Ayala, F.J.2
  • 7
    • 0017405632 scopus 로고
    • Stability in Gilpin and Ayala's models of competition
    • B. S. Goh and T. T. Agnew, “Stability in Gilpin and Ayala's models of competition,” J. Math. Biol., vol. 4, pp. 275-279, 1977.
    • (1977) J. Math. Biol. , vol.4 , pp. 275-279
    • Goh, B.S.1    Agnew, T.T.2
  • 8
    • 0014302134 scopus 로고
    • Some physiological and biochemical consequences of psychological postulates
    • S. Grossberg, “Some physiological and biochemical consequences of psychological postulates,” Proc. Nat. Acad. Sci., vol. 60, pp. 758-765, 1968.
    • (1968) Proc. Nat. Acad. Sci. , vol.60 , pp. 758-765
    • Grossberg, S.1
  • 9
    • 49849130185 scopus 로고
    • On learning information, lateral inhibition, and transmitters
    • S. Grossberg, “On learning information, lateral inhibition, and transmitters,” Math. Biosci., vol. 4, pp. 225-310, 1969.
    • (1969) Math. Biosci. , vol.4 , pp. 225-310
    • Grossberg, S.1
  • 10
    • 0014792566 scopus 로고
    • Neural pattern discrimination
    • S. Grossberg, “Neural pattern discrimination,” J. Theoret. Biol., vol. 27, pp. 291-337, 1970.
    • (1970) J. Theoret. Biol. , vol.27 , pp. 291-337
    • Grossberg, S.1
  • 11
    • 0000133988 scopus 로고
    • A neural theory of punishment and avoidance. II. Quantitative theory
    • S. Grossberg, “A neural theory of punishment and avoidance. II. Quantitative theory,” Math. Biosci., vol. 15, pp. 39-67, 1972.
    • (1972) Math. Biosci. , vol.15 , pp. 39-67
    • Grossberg, S.1
  • 12
    • 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,” Studies in Appl. Math., vol. 52, pp. 217-257, 1973.
    • (1973) Studies in Appl. Math , vol.52 , pp. 217-257
    • Grossberg, S.1
  • 13
    • 0016881863 scopus 로고
    • On the development of feature detectors in the visual cortex with applications to learning and reaction diffusion systems
    • S. Grossberg, “On the development of feature detectors in the visual cortex with applications to learning and reaction diffusion systems,” Biol. Cybern., vol. 21, pp. 145-159, 1976.
    • (1976) Biol. Cybern. , vol.21 , pp. 145-159
    • Grossberg, S.1
  • 14
    • 0000028620 scopus 로고
    • Competition, decision, and consensus
    • S. Grossberg, “Competition, decision, and consensus,” J. Math. Anal. Appl., vol. 66, pp. 470-493, 1978.
    • (1978) J. Math. Anal. Appl. , vol.66 , pp. 470-493
    • Grossberg, S.1
  • 15
    • 0000864609 scopus 로고
    • A theory of human memory: Self-organization and performance of sensory-motor codes, maps, and plans
    • R. Rosen and F. Snell, Eds. New York: Academic
    • S. Grossberg, “A theory of human memory: Self-organization and performance of sensory-motor codes, maps, and plans,” in Progress Theoretical Biology, vol. 5, R. Rosen and F. Snell, Eds. New York: Academic, 1978.
    • (1978) Progress Theoretical Biology , vol.5
    • Grossberg, S.1
  • 16
    • 0000864609 scopus 로고
    • Communication, memory, and development
    • R. Rosen and F. Snell, Eds. New York: Academic
    • S. Grossberg, “Communication, memory, and development,” in Progress in Theoretical Biology, vol. 5, R. Rosen and F. Snell, Eds. New York: Academic, 1978.
    • (1978) Progress in Theoretical Biology , vol.5
    • Grossberg, S.1
  • 17
    • 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., vol. 73, pp. 101-130, 1978.
    • (1978) J. Theoret. Biol. , vol.73 , pp. 101-130
    • Grossberg, S.1
  • 18
    • 0018860355 scopus 로고
    • Biological competition: Decision rules, pattern formation, and oscillations
    • S. Grossberg, “Biological competition: Decision rules, pattern formation, and oscillations,” Proc. Nat. Acad. Sci., vol. 77, pp. 2338-2342, 1980.
    • (1980) Proc. Nat. Acad. Sci. , vol.77 , pp. 2338-2342
    • Grossberg, S.1
  • 19
    • 0018861680 scopus 로고
    • How does a brain build a cognitive code?
    • S. Grossberg, “How does a brain build a cognitive code?” Psychol. Rev., vol. 58, pp. 1-51, 1980.
    • (1980) Psychol. Rev. , vol.58 , pp. 1-51
    • Grossberg, S.1
  • 20
    • 0019189518 scopus 로고
    • Intracellular mechanisms of adaptation and self-regulation in self-organizing networks: The role of chemical transducers
    • S. Grossberg, “Intracellular mechanisms of adaptation and self-regulation in self-organizing networks: The role of chemical transducers,” Bull. Math. Biol., vol. 42, 1980.
    • (1980) Bull. Math. Biol. , vol.42
    • Grossberg, S.1
  • 21
    • 45349107377 scopus 로고
    • Adaptive resonance in development, perception, and cognition
    • S. Grossberg, Ed. Providence RI: Amer. Math. Soc.
    • S. Grossberg, “Adaptive resonance in development, perception, and cognition,” in Mathematical Psychology and Psychophysiology, S. Grossberg, Ed. Providence RI: Amer. Math. Soc., 1981.
    • (1981) Mathematical Psychology and Psychophysiology
    • Grossberg, S.1
  • 25
    • 0007818560 scopus 로고
    • Competitive exclusion and nonequilibrium co-existence
    • J. Kaplan and J. Yorke, “Competitive exclusion and nonequilibrium co-existence,” Amer. Naturalist, vol. 111, pp. 1031-1036, 1977.
    • (1977) Amer. Naturalist , vol.111 , pp. 1031-1036
    • Kaplan, J.1    Yorke, J.2
  • 27
    • 0015372066 scopus 로고
    • On some realistic constraints in prey-predator mathematics
    • Kilmer, W. L., “On some realistic constraints in prey-predator mathematics,” J. Theoret. Biol., vol. 36, pp. 9-22, 1972.
    • (1972) J. Theoret. Biol. , vol.36 , pp. 9-22
    • Kilmer, W.L.1
  • 29
    • 0001904712 scopus 로고
    • An invariance principle in the theory of stability
    • J. K. Hale and J. P. LaSalle, Eds. New York: Academic
    • J. P. LaSalle, “An invariance principle in the theory of stability,” in Differential Equations and Dynamical Systems, J. K. Hale and J. P. LaSalle, Eds. New York: Academic, 1967.
    • (1967) Differential Equations and Dynamical Systems
    • LaSalle, J.P.1
  • 30
    • 49949129712 scopus 로고
    • Stability theory for ordinary differential equations
    • J. P. LaSalle, “Stability theory for ordinary differential equations,” J. Differential Equations, vol. 4, pp. 57-65, 1968.
    • (1968) J. Differential Equations , vol.4 , pp. 57-65
    • LaSalle, J.P.1
  • 31
    • 0017142358 scopus 로고
    • On visual illusions in neural networks: Line neutralization, tilt aftereffect, and angle expansion
    • D. Levine and S. Grossberg, “On visual illusions in neural networks: Line neutralization, tilt aftereffect, and angle expansion,” J. Theoret. Biol., vol. 61, pp. 477-504, 1976.
    • (1976) J. Theoret. Biol. , vol.61 , pp. 477-504
    • Levine, D.1    Grossberg, S.2
  • 32
    • 0014778498 scopus 로고
    • Species packing and competitive equilibrium for many species
    • R. H. MacArthur, “Species packing and competitive equilibrium for many species,” Theoret. Population Biol., vol. 1, pp. 1-11, 1970.
    • (1970) Theoret. Population Biol. , vol.1 , pp. 1-11
    • MacArthur, R.H.1
  • 33
    • 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., vol. 29, pp. 243-253, 1975.
    • (1975) SIAM J. Appl. Math. , vol.29 , pp. 243-253
    • May, R.M.1    Leonard, W.J.2
  • 36
    • 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., vol. 37, pp. 49-54, 1979.
    • (1979) SIAM J. Appl. Math. , vol.37 , pp. 49-54
    • Schuster, P.1    Sigmund, K.2    Wolff, R.3
  • 37
    • 0007040086 scopus 로고
    • The stability of generalized Volterra equations
    • Y. Takeuchi, N. Adachi, and H. Tokumaru, “The stability of generalized Volterra equations,” J. Math. Anal. Appl., vol. 62, pp. 453-473, 1978.
    • (1978) J. Math. Anal. Appl. , vol.62 , pp. 453-473
    • Takeuchi, Y.1    Adachi, N.2    Tokumaru, H.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.