Hidden attractors in Chua circuit: mathematical theory meets physical experiments

N Kuznetsov, T Mokaev, V Ponomarenko… - Nonlinear …, 2023 - Springer
After the discovery in early 1960s by E. Lorenz and Y. Ueda of the first example of a chaotic
attractor in numerical simulation of a real physical process, a new scientific direction of …

Theory of hidden oscillations and stability of control systems

NV Kuznetsov - Journal of Computer and Systems Sciences …, 2020 - Springer
The development of the theory of absolute stability, the theory of bifurcations, the theory of
chaos, theory of robust control, and new computing technologies has made it possible to …

The Lorenz system: hidden boundary of practical stability and the Lyapunov dimension

NV Kuznetsov, TN Mokaev, OA Kuznetsova… - Nonlinear …, 2020 - Springer
On the example of the famous Lorenz system, the difficulties and opportunities of reliable
numerical analysis of chaotic dynamical systems are discussed in this article. For the Lorenz …

[HTML][HTML] Study of irregular dynamics in an economic model: attractor localization and Lyapunov exponents

TA Alexeeva, NV Kuznetsov, TN Mokaev - Chaos, Solitons & Fractals, 2021 - Elsevier
Cyclicality and instability inherent in the economy can manifest themselves in irregular
fluctuations, including chaotic ones, which significantly reduces the accuracy of forecasting …

[PDF][PDF] Теория скрытых колебаний и устойчивость систем управления

НВ Кузнецов - … конференции, посвя-щенной 95-летию со дня …, 2019 - spsl.nsc.ru
Теория скрытых колебаний и устойчивость систем управления Page 202 УДК 531.36: 534.1
Теория скрытых колебаний и устойчивость систем управления НВ Кузнецов …

Dynamics of Infinitesimal Particle in the Framework of Photo-Gravitational Restricted Three-Body Problem

R Mia - Journal of Applied Nonlinear Dynamics, 2021 - lhscientificpublishing.com
In this paper, we study the dynamics of small particle in the framework of the photo-
gravitational restricted three body problem in the binary stellar masses. In this work, we …

[PDF][PDF] Chaotic Rossler Oscillator with Controlled Stimulus Phase

AP Kuznetsov, YV Sedova, NV Stankevich - 2024 - dspace.spbu.ru
The dynamics of the chaotic Rossler with external force the phase of which depends on the
state of the system is investigated. The study was carried out with the method of charts of …

[HTML][HTML] Хаотический осциллятор Ресслера с управляемой фазой воздействия

АП Кузнецов, ЮВ Седова… - … уравнения и процессы …, 2024 - cyberleninka.ru
Исследуется динамика хаотической системы Ресслера с внешним воздействием, фаза
которого зависит от состояния системы. Исследование проведено методом карт …

A lower-bound estimate of the Lyapunov dimension for the global attractor of the Lorenz system

NV Kuznetsov, TN Mokaev, RN Mokaev… - arxiv preprint arxiv …, 2019 - arxiv.org
In this short report, for the classical Lorenz attractor we demonstrate the applications of the
Pyragas time-delayed feedback control technique and Leonov analytical method for the …

[PDF][PDF] On lower-bound estimates of the Lyapunov dimension and topological entropy via Pyragas control

N Kuznetsov, T Mokaev, T Alexeeva - … Conference “Stability, Control …, 2019 - scdg.uran.ru
In this lecture, the applications of the Pyragas time-delay feedback control technique and
Leonov analytical approach for estimation of Lyapunov dimension and topological entropy …