ROUNDOFF-INDUCED COALESCENCE OF CHAOTIC TRAJECTORIES

Citation
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
Citations number
16
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
ISSN journal
1063651X
Volume
54
Issue
3
Year of publication
1996
Pages
2201 - 2204
Database
ISI
SICI code
1063-651X(1996)54:3<2201:RCOCT>2.0.ZU;2-6
Abstract
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.