Computing geometric lorenz attractors with arbitrary precision

D. S. Graça, C. Rojas, N. Zhong

Resultado de la investigación: Contribución a una revistaArtículo

2 Citas (Scopus)

Resumen

The Lorenz attractor was introduced in 1963 by E. N. Lorenz as one of the first examples of strange attractors. However, Lorenz’ research was mainly based on (non-rigorous) numerical simulations, and, until recently, the proof of the existence of the Lorenz attractor remained elusive. To address that problem some authors introduced geometric Lorenz models and proved that geometric Lorenz models have a strange attractor. In 2002 it was shown that the original Lorenz model behaves like a geometric Lorenz model and thus has a strange attractor. In this paper we show that geometric Lorenz attractors are computable, as well as show their physical measures.

Idioma originalInglés
Páginas (desde-hasta)2955-2970
Número de páginas16
PublicaciónTransactions of the American Mathematical Society
Volumen370
N.º4
DOI
EstadoPublicada - 1 abr 2018

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