Figure Captions

1. The percentage of chaotic solutions (positive largest Lyapunov 
exponent) for a collection of about 75,000 single-layer, feedforward 
neural networks with 8 neurons and iid normal weights for various 
combinations of spread (s) and dimension (d).  The solid line 
represents (approximately) the 50% contour.

2. The percentage of chaotic solutions (positive largest Lyapunov) 
exponent) for a collection of about 75,000 single layer, feedforward 
neural networks with iid normal weights (s = 8) for various 
combinations of number of neurons (n) and dimension (d).  The solid 
line represents (approximately) the 50% contour.

3. Probability distribution of largest Lyapunov exponent for about 
600,000 neural nets with iid normal weights and s = 8. (a) n = 4, d = 4  
(b) n = 64, d = 4  (c) n = 4, d = 64  (d) n = 64, d = 64