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Roundoff-induced Coalescence of Chaotic Trajectories

L. Longa·E. M. F. Curado·F. A. Oliveira
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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 {\em infinite} precision.

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L. Longa, E. M. F. Curado, F. A. Oliveira. 1996-07-29. Roundoff-induced Coalescence of Chaotic Trajectories. https://doi.org/10.1103/physreve.54.r2201

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