Computing geometric lorenz attractors with arbitrary precision

D. S. Graça, C. Rojas, N. Zhong

Resultado de la investigación: Article

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

Huella dactilar

Lorenz attractor
Strange attractor
Computing
Arbitrary
Physical measure
Model
Numerical Simulation
Computer simulation

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Citar esto

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Computing geometric lorenz attractors with arbitrary precision. / Graça, D. S.; Rojas, C.; Zhong, N.

En: Transactions of the American Mathematical Society, Vol. 370, N.º 4, 01.04.2018, p. 2955-2970.

Resultado de la investigación: Article

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T1 - Computing geometric lorenz attractors with arbitrary precision

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