L. Longa et al., ROUNDOFF-INDUCED COALESCENCE OF CHAOTIC TRAJECTORIES, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 54(3), 1996, pp. 2201-2204
Numerical experiments recently discussed in the literature show that i
dentical nonlinear chaotic systems linked by a common noise term (or s
ignal) may synchronize after a finite time. We study the process of sy
nchronization as a function of the precision of calculations. Two gene
ric behaviors of the average coalescence time are identified: exponent
ial or linear. In both cases no synchronization occurs if iterations a
re done with infinite precision.