Computing geometric lorenz attractors with arbitrary precision

D. S. Graça, C. Rojas, N. Zhong

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)2955-2970
Number of pages16
JournalTransactions of the American Mathematical Society
Volume370
Issue number4
DOIs
Publication statusPublished - 1 Apr 2018

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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