High precision numerical estimation of the largest Lyapunov exponent

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A numerical algorithm for estimating the largest Lyapunov exponent of a chaotic attractor is presented. The method makes use of the minimal time for two trajectories to diverge beyond a given distance from each other. We define the nth divergence speed G(n) and show that, for an appropriate range of n, the largest Lyapunov exponent can be approximated by G(n). (C) 2009 Elsevier B.V. All rights reserved.
Publisher
ELSEVIER SCIENCE BV
Issue Date
2010-05
Language
English
Article Type
Article
Citation

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, v.15, no.5, pp.1378 - 1384

ISSN
1007-5704
DOI
10.1016/j.cnsns.2009.05.064
URI
http://hdl.handle.net/10203/95568
Appears in Collection
MA-Journal Papers(저널논문)
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