Roundoff-induced Coalescence of Chaotic Trajectories
L. Longa, E. M. F. Curado, F. A. Oliveira
Abstract
Numerical experiments recently discussed in the literature show that identical nonlinear chaotic systems linked by a common noise term (or signal) may synchronize after a finite time. We study the process of synchronization as function of precision of calculations. Two generic behaviors of the average coalescence time are identified: exponential or linear. In both cases no synchronization occurs if iterations are done with infinite precision.
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