메뉴 건너뛰기




Volumn 8, Issue 7, 1998, Pages 1463-1478

Routes to chaos in neural networks with random weights

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0039504237     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127498001121     Document Type: Article
Times cited : (34)

References (21)
  • 1
    • 0030308845 scopus 로고    scopus 로고
    • Dynamical behavior of artificial neural networks with random weights
    • eds. Dagli, C. H., Akay, M., Chen, C. L. P., Fernanndez, B. R. & Ghosh, J. (ASME, NY)
    • Albers, D. J., Sprott, J. C. & Dechert, W. D. [1996] "Dynamical behavior of artificial neural networks with random weights," in Intelligent Engineering Systems Through Artificial Neural Networks, eds. Dagli, C. H., Akay, M., Chen, C. L. P., Fernanndez, B. R. & Ghosh, J. (ASME, NY), pp. 17-22.
    • (1996) Intelligent Engineering Systems Through Artificial Neural Networks , pp. 17-22
    • Albers, D.J.1    Sprott, J.C.2    Dechert, W.D.3
  • 3
    • 85033878093 scopus 로고    scopus 로고
    • Private communication
    • Brock, W. [1997] Private communication.
    • (1997)
    • Brock, W.1
  • 4
    • 13344253863 scopus 로고
    • Control of the transition to chaos in neural networks with random connectivity
    • Doyon, B., Cessac, B., Quoy, M. & Samuelides, M. [1993] "Control of the transition to chaos in neural networks with random connectivity," Int. J. Bifurcation and Chaos 3, 279-291.
    • (1993) Int. J. Bifurcation and Chaos , vol.3 , pp. 279-291
    • Doyon, B.1    Cessac, B.2    Quoy, M.3    Samuelides, M.4
  • 5
    • 35949018382 scopus 로고
    • Ergodic theory of chaos and strange attractors
    • Eckmann, J. P. & Ruelle, D. [1985] "Ergodic theory of chaos and strange attractors," Rev. Mod. Phys. 57(3), 617-656.
    • (1985) Rev. Mod. Phys. , vol.57 , Issue.3 , pp. 617-656
    • Eckmann, J.P.1    Ruelle, D.2
  • 6
    • 0001393752 scopus 로고
    • Circular law
    • Girko, V. L. [1983] "Circular law," Theor. Prob. Appl. 29, 694-706.
    • (1983) Theor. Prob. Appl. , vol.29 , pp. 694-706
    • Girko, V.L.1
  • 7
    • 0000263135 scopus 로고
    • Shadowing of physical trajectories in chaotic dynamics: Containment and refinement
    • Grebogi, C., Hammel, S., Yorke, J. & Sauer, T. [1990] "Shadowing of physical trajectories in chaotic dynamics: Containment and refinement," Phys. Rev. Lett. 65, 1527-1530.
    • (1990) Phys. Rev. Lett. , vol.65 , pp. 1527-1530
    • Grebogi, C.1    Hammel, S.2    Yorke, J.3    Sauer, T.4
  • 9
    • 0024880831 scopus 로고
    • Multilayer feedforward networks are universal approximators
    • Hornik, K., Stinchocombe, M. & White, H. [1989] "Multilayer feedforward networks are universal approximators," Neural Networks 2, 359-366.
    • (1989) Neural Networks , vol.2 , pp. 359-366
    • Hornik, K.1    Stinchocombe, M.2    White, H.3
  • 10
    • 0025627940 scopus 로고
    • Universal approximation of unknown mapping and its derivatives using multilayer feedforward networks
    • Hornik, K., Stinchocombe, M. & White, H. [1990] "Universal approximation of unknown mapping and its derivatives using multilayer feedforward networks," Neural Networks 3, 535-549.
    • (1990) Neural Networks , vol.3 , pp. 535-549
    • Hornik, K.1    Stinchocombe, M.2    White, H.3
  • 12
    • 0024029607 scopus 로고
    • Efficient and portable combined random number generators
    • l'Écuyer, P. [1988] "Efficient and portable combined random number generators," Commun. ACM 31, 742-749.
    • (1988) Commun. ACM , vol.31 , pp. 742-749
    • L'Écuyer, P.1
  • 13
    • 0011504750 scopus 로고
    • On some cases of periodic motions depending on parameter
    • Naimark, J. [1959] "On some cases of periodic motions depending on parameter," Dokl. Akad. Nauk, 736-739.
    • (1959) Dokl. Akad. Nauk , pp. 736-739
    • Naimark, J.1
  • 14
    • 0002218584 scopus 로고
    • Lecture on dynamical systems
    • Newhouse, S. E. [1980] "Lecture on dynamical systems," Dyn. Syst. 8, 1-114.
    • (1980) Dyn. Syst. , vol.8 , pp. 1-114
    • Newhouse, S.E.1
  • 16
    • 0000786832 scopus 로고
    • Emergence of quasiperiodicity in symmetrically coupled, identical period-doubling systems
    • Reick, C. & Mosekilde, E. [1995] "Emergence of quasiperiodicity in symmetrically coupled, identical period-doubling systems," Phys. Rev. E52, 1418-1435.
    • (1995) Phys. Rev. , vol.E52 , pp. 1418-1435
    • Reick, C.1    Mosekilde, E.2
  • 18
    • 84972537058 scopus 로고
    • On invariant surfaces and bifurcations of periodic solutions of ordinary differential equations
    • Sacker, R. S. [1965] "On invariant surfaces and bifurcations of periodic solutions of ordinary differential equations," Comm. Pure Appl. Math., 717-732.
    • (1965) Comm. Pure Appl. Math. , pp. 717-732
    • Sacker, R.S.1
  • 19
    • 0000779360 scopus 로고
    • Detecting strange attractors in turbulence
    • eds. Rand, D. & Young, L. (Springer-Verlag, Berlin)
    • Takens, F. [1980] "Detecting strange attractors in turbulence," in Lecture Notes in Mathematics 898, eds. Rand, D. & Young, L. (Springer-Verlag, Berlin), pp. 366-381.
    • (1980) Lecture Notes in Mathematics , vol.898 , pp. 366-381
    • Takens, F.1
  • 20
    • 21344444307 scopus 로고    scopus 로고
    • Dynamical behavior of the multiplicative diffusion coupled map lattices
    • Wang, W. & Cerdeira, H. A. [1996] "Dynamical behavior of the multiplicative diffusion coupled map lattices," Chaos 6, 200-208.
    • (1996) Chaos , vol.6 , pp. 200-208
    • Wang, W.1    Cerdeira, H.A.2
  • 21
    • 0008494528 scopus 로고
    • Determining Lyapunov exponents from a time series
    • Wolf, A., Swift, J. B., Swinney, H. L. & Vastano, J. A. [1984] "Determining Lyapunov exponents from a time series," Physica D16, 285-317.
    • (1984) Physica , vol.D16 , pp. 285-317
    • Wolf, A.1    Swift, J.B.2    Swinney, H.L.3    Vastano, J.A.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.