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Lyapunov exponents,dual Lyapunov exponents,and multifractal analysis
Authors:Fan Aihua  Jiang Yunping
Affiliation:Faculte de Mathematiques et d'Informatique, Universite de Picardie, 33, Rue Saint Leu, 80039 AmiensAnalyse Harmonique, Universite de Paris Sud, 91405, Orsay, France.
Abstract:It is shown that the multifractal property is shared by both Lyapunov exponents and dual Lyapunov exponents related to scaling functions of one-dimensional expanding folding maps. This reveals in a quantitative way the complexity of the dynamics determined by such maps. (c) 1999 American Institute of Physics.
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