Holder regularity and chaotic attractors

2001/04/06 by Jacopo Bellazzini, Bellazzini, Jacopo
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fractal and DNA sequence analysis #Mathematical Analysis and Transform Methods #Quantum chaos and dynamical systems #math.DS #nlin.CD #physics.flu-dyn

paper · pdf · doi:10.48550/arxiv.nlin/0104013

4 pages, no figures, submitted to Physical Review Letters

openalex publication_date 2001/04/06 · arxiv created 2001/04/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We demonstrate how the Holder regularity of a given signal is a lower bound for the Grassberger-Procaccia correlation dimension of strange attractors.

Citations

• The Fractal Geometry of Nature

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