On discrete pseudohyperbolic attractors of Lorenz type
Dynamical Systems
2020-05-07 v1 Chaotic Dynamics
Abstract
We study geometrical and dynamical properties of the so-called discrete Lorenz-like attractors, that can be observed in three-dimensional diffeomorphisms. We propose new phenomenological scenarios of their appearance in one parameter families of such maps. We pay especially our attention to such a scenario that can lead to period-2 Lorenz-like attractors. These attractors have very interesting dynamical properties and we show that their crises can lead, in turn, to the emergence of pseudohyperbolic discrete Lorenz shape attractors of new types. We also show examples of all these attractors in three-dimensional generalized H\'enon maps.
Keywords
Cite
@article{arxiv.2005.02778,
title = {On discrete pseudohyperbolic attractors of Lorenz type},
author = {Sergey Gonchenko and Alexander Gonchenko and Alexey Kazakov},
journal= {arXiv preprint arXiv:2005.02778},
year = {2020}
}