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High precision numerical estimation of the largest Lyapunov exponent

โœ Scribed by Bong Jo Kim; Geon Ho Choe

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
646 KB
Volume
15
Category
Article
ISSN
1007-5704

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โœฆ Synopsis

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 Gรฐnรž and show that, for an appropriate range of n, the largest Lyapunov exponent can be approximated by Gรฐnรž.

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