File: recur.man

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.TH recur 1 "April 1993" "Scilab Group" "Scilab Function"
.so ../sci.an
.SH NAME
recur - a bilinear recurrent equation 
.SH CALLING SEQUENCE
.nf
[y]=recur(x0,var,k,n)
[integr]=logr(k,var)
.fi
.SH DESCRIPTION
computes solutions of a bilinear recurrent equation 
.nf
x(i+1)=-x(i)*(k + sqrt(var)*br(i))
.fi
with initial value \fVx0\fR and driven by a white noise 
of variance \fVvar\fR.

Trajectories are drawn and the empirical Lyapunov exponent 
is returned 
( \fVx(i)\fR is not to much different from \fVexp(y*i)\fR )

A theoretical computation of the Lyapunov exponent 
is given by 
.nf
[integr]=logr(k,var)
.fi