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 …
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 …
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 …
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 …
В работе рассматривается существование дискретных аттракторов Лоренца в неголономной модели кельтского камня. Для этого в двухпараметрических семействах …
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 …
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 …