LYAPUNOV EXPONENTS FOR PEDESTRIANS

Citation
Jc. Earnshaw et D. Haughey, LYAPUNOV EXPONENTS FOR PEDESTRIANS, American journal of physics, 61(5), 1993, pp. 401-407
Citations number
27
Categorie Soggetti
Physics
Journal title
ISSN journal
00029505
Volume
61
Issue
5
Year of publication
1993
Pages
401 - 407
Database
ISI
SICI code
0002-9505(1993)61:5<401:LEFP>2.0.ZU;2-G
Abstract
The exponential divergence of chaotic trajectories of a driven nonline ar oscillator is considered. A particularly simple method of determina tion of the Lyapunov exponents of experimental data is shown to yield quantitative estimates which scale with the control parameter of the s ystem in accord with expectation. Numerical comparisons with conventio nal approaches, which are unsuited to pedagogic use, demonstrate the a dequacy of the present method in this context.