Wild pseudohyperbolic attractor in a four-dimensional Lorenz system

TL;DR

This paper introduces a new wild pseudohyperbolic spiral attractor found in a four-dimensional extension of the Lorenz system, expanding understanding of complex chaotic dynamics.

Contribution

The paper presents the discovery of a novel wild pseudohyperbolic attractor in a four-dimensional Lorenz system extension, a new class of chaotic attractors.

Findings

Identification of a new wild pseudohyperbolic attractor

Extension of Lorenz system to four dimensions

Characterization of the attractor's chaotic properties

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.