Wild pseudohyperbolic attractor in a four-dimensional Lorenz system
Sergey S. Gonchenko, Alexey Kazakov, Dmitry Turaev
Abstract
Open-access reader
Sergey S. Gonchenko, Alexey Kazakov, Dmitry Turaev
Abstract
Open-access reader
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.
OpenAlex reports 6 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
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