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Quantifying chaos: a tale of two maps

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

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To link to this article 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
Refereed:Yes
Divisions:Faculty of Science > School of Mathematical and Physical Sciences > Department of Mathematics and Statistics
ID Code:20764
Publisher:Elsevier

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