Solving the inverse fractal problem from wavelet analysis
Résumé
We report on a wavelet-based technique for solving the inverse fractal problem. We show that one can uncover a dynamical system which leaves invariant a given fractal object from the space scale arrangement of its wavelet transform modulus maxima. Our purpose is illustrated on Bernoulli invariant measures of linear as well as non-linear "cookie-cutters". Application to period-doubling dynamical systems at the onset of chaos is reported.
Domaines
Biophysique [physics.bio-ph]
Origine : Fichiers produits par l'(les) auteur(s)
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