Dynamical behavior of artificial neural networks with random weights

Intelligent Engineering Systems Through Artificial Neural Networks

Volumn 6, Issue , 1996, Pages 17-22

  Albers, D J ^a   Sprott, J C ^a   Dechert, W D ^b,c  

^a University of Wisconsin Madison   (United States)

^b UNIVERSITY OF HOUSTON   (United States)

^c UNIVERSITY OF WISCONSIN MADISON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; CORRELATION METHODS; DYNAMICS; FEEDBACK; LYAPUNOV METHODS; MONTE CARLO METHODS; RANDOM PROCESSES;

CHAOTIC DYNAMICS;

FEEDFORWARD NEURAL NETWORKS;

EID: 0030308845     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Article

References (7)

1. Fredrickson, P., Kaplan, J. L., Yorke, E. D., Yorke, J. A., 1983, "The Liapunov Dimension of Strange Attractors," Journal of Differential Equations, Vol. 49, pp. 185-207.
2. Grassbeger, P., Procaccia, L, 1983, "Characterizaqtion of Strange Attractors," Physical Review Letters, Vol. 50, pp. 346-349.
3. Hornik, K., Stinchocombe, M., White, H., 1990, "Universal Approximation of an Unknown Mapping and its Derivatives Using Multilayer Feedforward Networks," Neural Networks, Vol. 3, pp. 535-549.
4. Noakes, L., 1995, "The Takens Embedding Theorem," International Journal of Bifurcation and Chaos, Vol., pp. 867-872.
5. Sompolinsky, H., Crisanti, A., Sommers, H. J., 1988, "Chaos in Random Neural Networks," Physical Review Letters, Vol. 61, pp. 259-262.
6. Tsonis, A., 1992, Chaos: From Theory to Applications Plenum, edition.
7. Wolf, A., Swift, J. B., Swinney, H. L., Vastane, J. A., 1984, "Determining Lyapunov Exponents from a Time Series," Physica D, Vol. 16, pp. 285-317.