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 …

Hidden attractors with conditional symmetry

C Li, J Sun, JC Sprott, T Lei - International Journal of Bifurcation and …, 2020 - World Scientific
By introducing an absolute value function for polarity balance, some new examples of
chaotic systems with conditional symmetry are constructed that have hidden attractors …

Analysis of multistability, hidden chaos and transient chaos in brushless DC motor

P Faradja, G Qi - Chaos, Solitons & Fractals, 2020 - Elsevier
The dynamics of brushless DC motor (BLDCM), a type of permanent magnet synchronous
motor (PMSM) is investigated. The dynamical model of the BLDCM is compared to a mostly …

Generating multi-wing hidden attractors with only stable node-foci via non-autonomous approach

Y Yang, L Huang, J **ang, H Bao, H Li - Physica Scripta, 2021 - iopscience.iop.org
Hidden attractor is associated with the multistability phenomenon, which has important
application prospects in security communication. Recently, the study of multi-wing hidden …

Symmetry evolution in chaotic system

C Li, J Sun, T Lu, T Lei - Symmetry, 2020 - mdpi.com
A comprehensive exploration of symmetry and conditional symmetry is made from the
evolution of symmetry. Unlike other chaotic systems of conditional symmetry, in this work it is …

New technique to quantify chaotic dynamics based on differences between semi-implicit integration schemes

DN Butusov, DO Pesterev, AV Tutueva… - … in Nonlinear Science …, 2021 - Elsevier
Many novel chaotic systems have recently been identified and numerically studied.
Parametric chaotic sets are a valuable tool for determining and classifying oscillation …

[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 …

The use of evolutionary methods for the determination of a DC motor and drive parameters based on the current and angular speed response

M Jesenik, A Hamler, M Trbušić, M Trlep - Mathematics, 2020 - mdpi.com
Determination of the seven parameters of a Direct Current (DC) motor and drive is
presented, based on the speed and current step responses. The method is extended for the …

Dynamics of the Shapovalov mid-size firm model

TA Alexeeva, WA Barnett, NV Kuznetsov… - Chaos, Solitons & …, 2020 - Elsevier
Forecasting and analyses of the dynamics of financial and economic processes such as
deviations of macroeconomic aggregates (GDP, unemployment, and inflation) from their …