Wild pseudohyperbolic attractor in a four-dimensional Lorenz system

Sergey Gonchenko; Alexey Kazakov; Dmitry Turaev

doi:10.1088/1361-6544/abc794

Wild pseudohyperbolic attractor in a four-dimensional Lorenz system

Sergey Gonchenko, Alexey Kazakov, Dmitry Turaev

Research output: Contribution to journal › Article › peer-review

26 Scopus citations

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.

Original language	English
Pages (from-to)	2018-2047
Number of pages	30
Journal	Nonlinearity
Volume	34
Issue number	4
DOIs	https://doi.org/10.1088/1361-6544/abc794
State	Published - 1 Apr 2021
Externally published	Yes

Keywords

Lorenz system
Pseudohyperbolicity
Quasiattractor
Strange attractor
Wild hyperbolic set

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
General Physics and Astronomy
Applied Mathematics

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10.1088/1361-6544/abc794

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title = "Wild pseudohyperbolic attractor in a four-dimensional Lorenz system",

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.",

keywords = "Lorenz system, Pseudohyperbolicity, Quasiattractor, Strange attractor, Wild hyperbolic set",

author = "Sergey Gonchenko and Alexey Kazakov and Dmitry Turaev",

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AU - Gonchenko, Sergey

AU - Kazakov, Alexey

AU - Turaev, Dmitry

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Y1 - 2021/4/1

N2 - 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.

AB - 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.

KW - Lorenz system

KW - Pseudohyperbolicity

KW - Quasiattractor

KW - Strange attractor

KW - Wild hyperbolic set

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JO - Nonlinearity

JF - Nonlinearity

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Wild pseudohyperbolic attractor in a four-dimensional Lorenz system

Abstract

Keywords

ASJC Scopus subject areas

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