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

Published 28 Nov 2017 in math.DS | (1711.10404v3)

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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