Roundoff-induced coalescence of chaotic trajectories. Longa, L., Curado, E., & Oliveira, F. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 54(3):R2201-R2204, 1996.
Roundoff-induced coalescence of chaotic trajectories [link]Paper  doi  abstract   bibtex   
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 a function of the 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. © 1996 Theerican Physical Society.
@ARTICLE{Longa1996,
author={Longa, L. and Curado, E.M.F. and Oliveira, F.A.},
title={Roundoff-induced coalescence of chaotic trajectories},
journal={Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics},
year={1996},
volume={54},
number={3},
pages={R2201-R2204},
doi={10.1103/PhysRevE.54.R2201},
url={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-4744364507&doi=10.1103%2fPhysRevE.54.R2201&partnerID=40&md5=b143d71419202047542f28b78ae7ee7d},
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 a function of the 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. © 1996 Theerican Physical Society.},
correspondence_address1={Longa, L.; Department of Statistical Physics, Jagiellonian University, Reymonta 4, Kraków, Poland},
document_type={Article},
source={Scopus},
}
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