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arXiv · 1711.10404

Computer assisted proof of the existence of the Lorenz attractor in the Shimizu-Morioka system

Maciej J. Capinski·Dmitry Turaev·Piotr Zgliczynski
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Abstract

We prove, by employing rigorous numerics, that Shimizu-Morioka system has a Lorenz attractor for an open set of parameter values. Using this result, we prove the existence of a discrete version of the Lorenz attractor for a class of three-dimensional polynomial diffeomorphisms.

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Maciej J. Capinski, Dmitry Turaev, Piotr Zgliczynski. 2018-08-01. Computer assisted proof of the existence of the Lorenz attractor in the Shimizu-Morioka system. https://doi.org/10.1088/1361-6544%2Faae032

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