In recent years it was observed that chaotic behaviour can occur in some in
finite-dimensional linear systems. An example of this type, related to a ki
netic model (death process), has been previously reported. In this paper we
generalize these earlier results to the case of variable coefficients, sho
wing that the property of being chaotic can be in a certain sense stable. O
n the other hand the 'opposite' birth process cannot be chaotic. (C) 2001 A
cademie des sciences/Editions scientifiques et medicales Elsevier SAS.