Scale-wise Lyapunov exponent for bounded variation mappings

The objective of this article is to study the properties of the maximal Lyapunov exponent (mLe) in the wavelet domain for one dimensional maps of bounded variation. In particular, using compactly supported wavelets, we expound the scale-dependence of the mLe for this class of maps. A simulation stud...

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Bibliographic Details
Published in:	SN applied sciences Vol. 1; no. 9; p. 1081
Main Author:	Dhifaoui, Zouhaier
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 01-09-2019 Springer Nature B.V
Subjects:	Applied and Technical Physics Chemistry/Food Science Dynamical systems Earth Sciences Engineering Engineering: Signal Processing Environment Euclidean space Liapunov exponents Materials Science Research Article Time series Variation Multiscale maximal Lyapunov exponent Function of bounded variation Maximal Lyapunov exponent
Online Access:	Get full text
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Summary:	The objective of this article is to study the properties of the maximal Lyapunov exponent (mLe) in the wavelet domain for one dimensional maps of bounded variation. In particular, using compactly supported wavelets, we expound the scale-dependence of the mLe for this class of maps. A simulation study involving two maps of bounded variation proves our theoretical results.
ISSN:	2523-3963 2523-3971
DOI:	10.1007/s42452-019-1122-z