On discrete Lorenz-like attractors

S Gonchenko, A Gonchenko, A Kazakov… - … Journal of Nonlinear …, 2021 - pubs.aip.org
We study geometrical and dynamical properties of the so-called discrete Lorenz-like
attractors. We show that such robustly chaotic (pseudohyperbolic) attractors can appear as a …

Numerical study of discrete Lorenz-like attractors

A Kazakov, A Murillo, A Vieiro, K Zaichikov - Regular and Chaotic …, 2024 - Springer
We consider a homotopic to the identity family of maps, obtained as a discretization of the
Lorenz system, such that the dynamics of the last is recovered as a limit dynamics when the …

The heteroclinic and codimension-4 bifurcations of a triple SD oscillator

X Huang, Q Cao - Nonlinear Dynamics, 2024 - Springer
In this paper, the complicated heteroclinic and codimension-four bifurcations of a triple SD
(smooth and discontinuous) oscillator are investigated by analyzing the bifurcation sets in …

On the region of existence of a discrete Lorenz attractor in the nonholonomic model of a Celtic stone

AS Gonchenko, EA Samylina - Radiophysics and Quantum Electronics, 2019 - Springer
In this work, we consider the problem of existence of discrete Lorenz attractors in the
nonholonomic model of a Celtic stone. To this end, the main local and global bifurcations …

Motion of a smooth foil in a fluid under the action of external periodic forces. I

AV Borisov, EV Vetchanin, IS Mamaev - Russian Journal of Mathematical …, 2019 - Springer
A plane-parallel motion of a circular foil is considered in a fluid with a nonzero constant
circulation under the action of external periodic force and torque. Various integrable cases …

[PDF][PDF] Об области существования дискретного аттрактора Лоренца в неголономной модели кельтского камня

АС Гонченко, ЕА Самылина - Известия вузов. Радиофизика, 2019 - radiophysics.unn.ru
В работе рассматривается существование дискретных аттракторов Лоренца в
неголономной модели кельтского камня. Для этого в двухпараметрических семействах …

On discrete pseudohyperbolic attractors of Lorenz type

S Gonchenko, A Gonchenko, A Kazakov - arXiv preprint arXiv:2005.02778, 2020 - arxiv.org
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 …

[HTML][HTML] Lorenz-and Shilnikov-shape attractors in the model of two coupled parabola maps

K Evgenii, K Efrosiniia, M Dmitrii - Russian Journal of Nonlinear …, 2021 - cyberleninka.ru
We consider the system of two coupled one-dimensional parabola maps. It is well known
that the parabola map is the simplest map that can exhibit chaotic dynamics, chaos in this …