On the relation between reliable computation time, float-point precision and the Lyapunov exponent in chaotic systems
Chaotic Dynamics
2014-10-21 v1 Numerical Analysis
Abstract
The relation among reliable computation time, Tc, float-point precision, K, and the Lyapunov exponent, {\lambda}, is obtained as Tc= (lnB/{\lambda})K+C, where B is the base of the float-point system and C is a constant dependent only on the chaotic equation. The equation shows good agreement with numerical experimental results, especially the scale factors.
Cite
@article{arxiv.1410.4919,
title = {On the relation between reliable computation time, float-point precision and the Lyapunov exponent in chaotic systems},
author = {PengFei Wang and JianPing Li},
journal= {arXiv preprint arXiv:1410.4919},
year = {2014}
}
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8 pages