Wild pseudohyperbolic attractor in a four-dimensional Lorenz system

2018/09/19 by Gonchenko, Sergey, Kazakov, Alexey, Turaev, Dmitry · 2 citations
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1809.07250

Abstract

We present an example of a new strange attractor which, as we show, belongs to a class of wild pseudohyperbolic spiral attractors. We find this attractor in a four-dimensional system of differential equations which can be represented as an extension of the Lorenz system.

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• Cascades of Lorenz attractors in the Shimizu-Morioka model
• Macroscopic theory of multipartite correlations in permutation-invariant open quantum systems

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