Unveiling the topological structure of chaotic flows from data

D Sciamarella; G B Mindlin

doi:10.1103/PhysRevE.64.036209

Unveiling the topological structure of chaotic flows from data

Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Sep;64(3 Pt 2):036209. doi: 10.1103/PhysRevE.64.036209. Epub 2001 Aug 21.

Authors

D Sciamarella¹, G B Mindlin

Affiliation

¹ Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Pab I, Ciudad Universitaria, Casilla de Correo 1428, Buenos Aires, Argentina.

PMID: 11580424
DOI: 10.1103/PhysRevE.64.036209

Abstract

We report the analysis of branched manifolds through homologies, in order to extend the range of applicability of the topological approach to the analysis of chaotic data. Analytic and numerical cases are discussed.