Roundoff-induced Coalescence of Chaotic Trajectories

Details Roundoff-induced Coalescence of Chaotic Trajectories Roundoff-induced Coalescence of Chaotic Trajectories

1996-07-29

arxiv.org/abs/chao-dyn/9607017v1

Phys. Rev. E 54, R2201 (1996)

Physics

Condensed Matter

6 pages, 3 postscript figures, to be published in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.54.R2201

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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