WEAK CHAOS

A modified form of the logistic equation, X(n+1) = AX(n)(1 - sX(n)(p)) was examined for the range over which the parameters s and p could be varied without affecting its chaotic behaviour. It was found that the values of s as low as 10(-10) had no effect on the magnitude of the L yapunov exponent but the maximum value of X(n) varied as 1/s(1/p). Cha nging the magnitude of p in the range 10(-10) less than or equal to p less than or equal to 100 had very little effect on the shape or magni tude of the Lyapunov exponent. Some implications of these results are discussed. Copyright (C) 1996 Elsevier Science Ltd.