paper on analytical study of time-series generation ...

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       Analytical Study of Time Series Generation 
               by Feed-Forward Networks
      ----------------------------------------------
        I. Kanter, D. A. Kessler, A. Priel and E. Eisenstein

  Minerva Center and Department of Physics, Bar-Ilan University,
  Ramat-Gan 52900, Israel 


  ABSTRACT :

Generation of time series   is studied  analytically 
for a generalization of the  
Bit-Generator to  continuous activation functions and multi-layer
architectures.  The network exhibits at 
asymptotically large times the following characteristic features:
(a) flows can be periodic or quasi-periodic 
depending on  the phase of the weights, (b) the dimension of the 
attractor is a function of the gain of the activation function 
and the number of hidden units, 
(c) a phase shift in the weights  results in a frequency shift in the 
output, so that the  system operates as a phase detector.


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