메뉴 건너뛰기




Volumn 183, Issue 3, 1996, Pages 269-284

Counting and classifying attractors in high dimensional dynamical systems

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; ARTIFICIAL NEURAL NETWORK; CLASSIFICATION; DYNAMICS; MATHEMATICAL MODEL; PRIORITY JOURNAL;

EID: 0030574422     PISSN: 00225193     EISSN: None     Source Type: Journal    
DOI: 10.1006/jtbi.1996.0220     Document Type: Article
Times cited : (68)

References (34)
  • 1
    • 0001184077 scopus 로고
    • The random map model: A disordered model with deterministic dynamics
    • DERRIDA, B. & FLYVBJERG, H. (1987). The random map model: A disordered model with deterministic dynamics. J. Physique 48, 971-978.
    • (1987) J. Physique , vol.48 , pp. 971-978
    • Derrida, B.1    Flyvbjerg, H.2
  • 2
    • 0011351976 scopus 로고
    • Phase transitions in random networks of automata
    • (Souletie, J., Vanimenus, J. & Stora, R., eds), Les Houches, 1986. North Holland
    • DERRIDA, B. (1987a). Phase transitions in random networks of automata. In: Chance and Matter (Souletie, J., Vanimenus, J. & Stora, R., eds), Les Houches, 1986. North Holland.
    • (1987) Chance and Matter
    • Derrida, B.1
  • 3
    • 0023558499 scopus 로고
    • Valleys and overlaps in Kauffman's model
    • DERRIDA, B. (1987b). Valleys and overlaps in Kauffman's model. Philosoph. Mag. B. 6, 917-923.
    • (1987) Philosoph. Mag. B. , vol.6 , pp. 917-923
    • Derrida, B.1
  • 4
    • 0015609281 scopus 로고
    • The logical analysis of continuous non-linear biochemical control networks
    • GLASS, L. & KAUFFMAN, S. A. (1973). The logical analysis of continuous non-linear biochemical control networks. J. theor. Biol. 39, 103-129.
    • (1973) J. Theor. Biol. , vol.39 , pp. 103-129
    • Glass, L.1    Kauffman, S.A.2
  • 5
    • 0017834347 scopus 로고
    • Prediction of limit cycles in mathematical models of biological oscillations
    • GLASS, L. & PASTERNACK, J. S. (1978a). Prediction of limit cycles in mathematical models of biological oscillations. Bull. Math. Biol. 40, 27-44.
    • (1978) Bull. Math. Biol. , vol.40 , pp. 27-44
    • Glass, L.1    Pasternack, J.S.2
  • 6
    • 0018168876 scopus 로고
    • Stable oscillations in mathematical models of biological control systems
    • GLASS, L. & PASTERNACK, J. S. (1978b). Stable oscillations in mathematical models of biological control systems. J. Math. Biol. 6, 207-223.
    • (1978) J. Math. Biol. , vol.6 , pp. 207-223
    • Glass, L.1    Pasternack, J.S.2
  • 7
    • 0016758861 scopus 로고
    • Classification of biological networks by their qualitative dynamics
    • GLASS, L. (1975a). Classification of biological networks by their qualitative dynamics. J. theor. Biol. 54, 85-107.
    • (1975) J. Theor. Biol. , vol.54 , pp. 85-107
    • Glass, L.1
  • 8
    • 33749553474 scopus 로고
    • Combinatorial and topological methods in nonlinear chemical kinetics
    • GLASS, L. (1975b). Combinatorial and topological methods in nonlinear chemical kinetics. J. Chem. Phys. 63, 1325-1335.
    • (1975) J. Chem. Phys. , vol.63 , pp. 1325-1335
    • Glass, L.1
  • 9
    • 0000832248 scopus 로고
    • Mathematical problems
    • HILBERT, D. (1902). Mathematical problems. Bull. A. M. S. 8, 436-479.
    • (1902) Bull. A. M. S. , vol.8 , pp. 436-479
    • Hilbert, D.1
  • 10
    • 0020118274 scopus 로고
    • Neural networks and physical systems with emergent collective computational abilities
    • HOPFIELD, J. (1982). Neural networks and physical systems with emergent collective computational abilities. PNAS 79, 2554-2558.
    • (1982) PNAS , vol.79 , pp. 2554-2558
    • Hopfield, J.1
  • 12
    • 0014489272 scopus 로고
    • Metabolic stability and epigenesis in randomly connected nets
    • KAUFFMAN, S. A. (1969). Metabolic stability and epigenesis in randomly connected nets. J. theor. Biol. 22, 437-467.
    • (1969) J. Theor. Biol. , vol.22 , pp. 437-467
    • Kauffman, S.A.1
  • 14
    • 0022376616 scopus 로고
    • Towards a logical analysis of the immune response
    • KAUFMAN, M., URBAIN, J. & THOMAS, R. (1985). Towards a logical analysis of the immune response. J. theor. Biol. 114, 527-561.
    • (1985) J. Theor. Biol. , vol.114 , pp. 527-561
    • Kaufman, M.1    Urbain, J.2    Thomas, R.3
  • 15
    • 0000433480 scopus 로고
    • Nonlinear dynamics and symbolic dynamics of neural networks
    • LEWIS, J. & GLASS, L. (1992). Nonlinear dynamics and symbolic dynamics of neural networks. Neural Computation 4, 621-642.
    • (1992) Neural Computation , vol.4 , pp. 621-642
    • Lewis, J.1    Glass, L.2
  • 17
    • 0001511149 scopus 로고
    • Periodic solutions in systems of piecewise linear differential equations
    • MESTL, T., PLAHTE, E. & OMHOLT, S. W. (1995). Periodic solutions in systems of piecewise linear differential equations. Dyn. Stab. Systems 10, 179-193.
    • (1995) Dyn. Stab. Systems , vol.10 , pp. 179-193
    • Mestl, T.1    Plahte, E.2    Omholt, S.W.3
  • 18
    • 0002501173 scopus 로고    scopus 로고
    • Chaos in high dimensional neural and gene networks
    • in press
    • MESTL, T., LEMAY, C. & GLASS, L. (1996). Chaos in high dimensional neural and gene networks. Physica D. (in press).
    • (1996) Physica D.
    • Mestl, T.1    Lemay, C.2    Glass, L.3
  • 20
    • 0028735604 scopus 로고
    • Global analysis of steady points for systems of differential equations with sigmoid interactions
    • PLAHTE, E., MESTL, T. & OMHOLT, S. W. (1994). Global analysis of steady points for systems of differential equations with sigmoid interactions. Dyn. Stab. Systems 9, 275-291.
    • (1994) Dyn. Stab. Systems , vol.9 , pp. 275-291
    • Plahte, E.1    Mestl, T.2    Omholt, S.W.3
  • 22
    • 85121565649 scopus 로고
    • Computations in shape space: A new approach to immune network theory
    • (Perelson, A. S., ed.), Reading, MA: Addison-Wesley
    • SEGEL, L. A. & PERELSON, A. S. (1988). Computations in shape space: A new approach to immune network theory. In: Theoretical Immunology, Part Two (Perelson, A. S., ed.), pp. 321-343. Reading, MA: Addison-Wesley.
    • (1988) Theoretical Immunology, Part Two , pp. 321-343
    • Segel, L.A.1    Perelson, A.S.2
  • 23
    • 0001723411 scopus 로고
    • Logical identification of all steady states: The concept of characteristic states
    • SNOUSSI, E. H. & THOMAS, R. (1993). Logical identification of all steady states: The concept of characteristic states. Bull. Math. Biol. 55, 973-991.
    • (1993) Bull. Math. Biol. , vol.55 , pp. 973-991
    • Snoussi, E.H.1    Thomas, R.2
  • 26
    • 0015823097 scopus 로고
    • Boolean formalization of genetic control circuits
    • THOMAS, R. (1973). Boolean formalization of genetic control circuits. J. theor. Biol. 42, 563-585.
    • (1973) J. Theor. Biol. , vol.42 , pp. 563-585
    • Thomas, R.1
  • 27
    • 0025948178 scopus 로고
    • Regulatory networks seen as asynchronous automata: A logical description
    • THOMAS, R. (1991). Regulatory networks seen as asynchronous automata: A logical description. J. theor. Biol. 153, 1-23.
    • (1991) J. Theor. Biol. , vol.153 , pp. 1-23
    • Thomas, R.1
  • 29
    • 0028500360 scopus 로고
    • Capacity of a model immune network
    • WEISBUCH, G. & OPREA, M. (1994). Capacity of a model immune network. Bull. Math. Biol. 56(5), 899-921.
    • (1994) Bull. Math. Biol. , vol.56 , Issue.5 , pp. 899-921
    • Weisbuch, G.1    Oprea, M.2
  • 30
    • 0011351237 scopus 로고
    • Phase transitions in cellular random boolean nets
    • WEISBUCH, G. & STAUFFER, D. (1987). Phase transitions in cellular random boolean nets. J. Physique 48, 11-18.
    • (1987) J. Physique , vol.48 , pp. 11-18
    • Weisbuch, G.1    Stauffer, D.2
  • 32
    • 0021755192 scopus 로고
    • Cellular automata as models of complexity
    • WOLFRAM, S. (1984). Cellular automata as models of complexity. Nature 311, 419-424.
    • (1984) Nature , vol.311 , pp. 419-424
    • Wolfram, S.1
  • 34
    • 0011307180 scopus 로고
    • Memory, far from equilibrium: Basins of attraction of random boolean networks
    • ECAL 1993
    • WUENSCHE, A. (1993). Memory, far from equilibrium: Basins of attraction of random boolean networks. In: Proceedings, pp. 1150-1159. ECAL 1993.
    • (1993) Proceedings , pp. 1150-1159
    • Wuensche, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.