Quantifying chaos: a tale of two maps

Machete, R. L. (2011) Quantifying chaos: a tale of two maps. Physics Letters A, 375 (33). pp. 2992-2998. ISSN 0375-9601 doi: 10.1016/j.physleta.2011.06.047

Abstract/Summary

In many applications, there is a desire to determine if the dynamics of interest are chaotic or not. Since positive Lyapunov exponents are a signature for chaos, they are often used to determine this. Reliable estimates of Lyapunov exponents should demonstrate evidence of convergence; but literature abounds in which this evidence lacks. This paper presents two maps through which it highlights the importance of providing evidence of convergence of Lyapunov exponent estimates. The results suggest cautious conclusions when confronted with real data. Moreover, the maps are interesting in their own right.

Item Type	Article
URI	https://reading-clone.eprints-hosting.org/id/eprint/20764
Identification Number/DOI	10.1016/j.physleta.2011.06.047
Refereed	Yes
Divisions	Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
Publisher	Elsevier
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