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Accurate Bounds on Lyapunov Exponents for Expanding Maps of the Interval

In this short note we describe a simple but remarkably effective method for rigorously estimating Lyapunov exponents for expanding maps of the interval. We illustrate the applicability of this method with some standard examples.

Detalles Bibliográficos
Autores principales: Pollicott, M., Vytnova, P.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9870983/
https://www.ncbi.nlm.nih.gov/pubmed/36714455
http://dx.doi.org/10.1007/s00220-022-04495-7
Descripción
Sumario:In this short note we describe a simple but remarkably effective method for rigorously estimating Lyapunov exponents for expanding maps of the interval. We illustrate the applicability of this method with some standard examples.