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Multiscale Lyapunov exponent for 2-microlocal functions

Zouhaier Dhifaoui, Hedi Kortas and Samir Ben Ammou

Chaos, Solitons & Fractals, 2009, vol. 42, issue 5, 2675-2687

Abstract: The Lyapunov exponent is an important indicator of chaotic dynamics. Using wavelet analysis, we define a multiscale representation of this exponent which we demonstrate the scale-wise dependence for functions belonging to Cx0s,s′ spaces. An empirical study involving simulated processes and financial time series corroborates the theoretical findings.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:42:y:2009:i:5:p:2675-2687

DOI: 10.1016/j.chaos.2009.03.174

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