2021NonlinearityOpen access

Wild pseudohyperbolic attractor in a four-dimensional Lorenz system

Sergey S. Gonchenko, Alexey Kazakov, Dmitry Turaev

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Abstract

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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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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Available abstract

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.

Key concepts: Attractor, Lorenz system, Rössler attractor, Extension (predicate logic), Class (philosophy), Spiral (railway), Mathematics, Crisis

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