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Lyapunov exponents, dual Lyapunov exponents, and multifractal analysis
1Faculte de Mathematiques et d'Informatique, Universite de Picardie, 33, Rue Saint Leu, 80039 AmiensAnalyse Harmonique, Universite de Paris Sud, 91405, Orsay, France.
Chaos (Woodbury, N.Y.)
|June 5, 2003
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.