Roundoff-induced Coalescence of Chaotic Trajectories
arXiv:chao-dyn/9607017 · doi:10.1103/PhysRevE.54.R2201
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.
6 pages, 3 postscript figures, to be published in Phys. Rev. E
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- Synchronization in the presence of memory
- The Fluctuation-Dissipation Relations: Growth, Diffusion, and Beyond
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- Numerical Coalescence of Chaotic Trajectories