Очарование хаоса

АЮ Лоскутов - Успехи физических наук, 2010 - ufn.ru
Предисловие 8 ноября 2009 г. ушёл из жизни выдающийся физик ХХ века академик
Виталий Лазаревич Гинзбург. В его работах, посвящённых перспективам развития …

Dynamical chaos and uniformly hyperbolic attractors: from mathematics to physics

SP Kuznetsov - Physics-Uspekhi, 2011 - iopscience.iop.org
Research is reviewed on the identification and construction of physical systems with chaotic
dynamics due to uniformly hyperbolic attractors (such as the Plykin attraction or the Smale …

Co-existing hidden attractors in a radio-physical oscillator system

AP Kuznetsov, SP Kuznetsov… - Journal of Physics A …, 2015 - iopscience.iop.org
The term'hidden attractor'relates to a stable periodic, quasiperiodic or chaotic state whose
basin of attraction does not overlap with the neighborhood of an unstable equilibrium point …

On the asymptotic and oscillatory behavior of the solutions of a class of higher-order differential equations with middle term

O Bazighifan, H Ramos - Applied Mathematics Letters, 2020 - Elsevier
In this paper, we deal with the asymptotic and oscillatory behavior of the solutions of higher-
order differential equations with middle term of the form L w′+ p ν fwm− 1 ν+ q ν gw σ ν= 0 …

[图书][B] Robust chaos and its applications

E Zeraoulia - 2012 - books.google.com
Robust chaos is defined by the absence of periodic windows and coexisting attractors in
some neighborhoods in the parameter space of a dynamical system. This unique book …

The reversal and chaotic attractor in the nonholonomic model of Chaplygin's top

AV Borisov, AO Kazakov, IR Sataev - Regular and Chaotic Dynamics, 2014 - Springer
In this paper we consider the motion of a dynamically asymmetric unbalanced ball on a
plane in a gravitational field. The point of contact of the ball with the plane is subject to a …

Elements of contemporary theory of dynamical chaos: A tutorial. Part I. Pseudohyperbolic attractors

AS Gonchenko, SV Gonchenko… - … Journal of Bifurcation …, 2018 - World Scientific
The paper is devoted to topical issues of modern mathematical theory of dynamical chaos
and its applications. At present, it is customary to assume that dynamical chaos in finite …

Fascination of chaos

A Loskutov - Physics-Uspekhi, 2010 - iopscience.iop.org
This review introduces most of the concepts used in the study of chaotic phenomena in
nonlinear systems and has as its objective to summarize the current understanding of results …

Динамический хаос и однородно гиперболические аттракторы: от математики к физике

СП Кузнецов - Успехи физических наук, 2011 - ufn.ru
Одним из интенсивно развивающихся в последнее время научных направлений
является исследование сложной динамики и хаоса в нелинейных системах [1-13] …

Conjoined Lorenz twins—a new pseudohyperbolic attractor in three-dimensional maps and flows

S Gonchenko, E Karatetskaia, A Kazakov… - … Journal of Nonlinear …, 2022 - pubs.aip.org
We describe new types of Lorenz-like attractors for three-dimensional flows and maps with
symmetries. We give an example of a three-dimensional system of differential equations …