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Paper

Wild pseudohyperbolic attractor in a four-dimensional Lorenz system

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Published 17 February 2021 • © 2021 IOP Publishing Ltd & London Mathematical Society
, , Citation Sergey Gonchenko et al 2021 Nonlinearity 34 2018 DOI 10.1088/1361-6544/abc794

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Author e-mails

sergey.gonchenko@mail.ru

kazakovdz@yandex.ru

d.turaev@imperial.ac.uk

Author affiliations

1 Lobachevsky State University of Nizhny Novgorod, Scientific and Educational Mathematical Center 'Mathematics of Future Technologies', 23 Prospekt Gagarina, Nizhny Novgorod 603950, Russia

2 National Research University Higher School of Economics, 25/12 Bolshaya Pecherskaya Ulitsa, 603155 Nizhny Novgorod, Russia

3 Imperial College, London SW7 2AZ, United Kingdom

Author notes

4 Author to whom any correspondence should be addressed.

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Dates

  1. Received 24 January 2020
  2. Revised 9 October 2020
  3. Accepted 4 November 2020
  4. Published

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0951-7715/34/4/2018

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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10.1088/1361-6544/abc794