In this paper, we study the influence of noise on a mathematical model whic
h contains the coexistence of chaotic attractors. In particular, applicatio
n to the case of a coexistence of a Lorenz and a Rossler dynamic system is
provided. Furthermore, numerical investigations concerning the stability of
the Chua's double chaotic attractor under stochastic perturbations of the
initial conditions are proposed. (C) 2000 Elsevier Science Ltd. All rights
reserved.