387 citations · 1.3k across the 19 of their papers we have counts for
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Study of irregular dynamics in an economic model: attractor localization and Lyapunov exponents
Tatyana A. Alexeeva, Nikolay V. Kuznetsov, Timur N. Mokaev
Cyclicity and instability inherent in the economy can manifest themselves in irregular fluctuations, including chaotic ones, which significantly reduces the accuracy of forecasting…
Analytical and numerical study of the hidden boundary of practical stability: complex versus real Lorenz systems
N. V. Kuznetsov, T. N. Mokaev, A. A. -H. Shoreh +2
This work presents the continuation of the recent article "The Lorenz system: hidden boundary of practical stability and the Lyapunov dimension", published in the Nonlinear Dynamic…
Time-delay control for stabilization of the Shapovalov mid-size firm model
T. A. Alexeeva, W. A. Barnett, N. V. Kuznetsov +1
Control and stabilization of irregular and unstable behavior of dynamic systems (including chaotic processes) are interdisciplinary problems of interest to a variety of scientific…
Dynamics of the Shapovalov mid-size firm model
Tatyana A. Alexeeva, William A. Barnett, Nikolay V. Kuznetsov +1
One of the main tasks in the study of financial and economic processes is forecasting and analysis of the dynamics of these processes. Within this task lie important research quest…
A lower-bound estimate of the Lyapunov dimension for the global attractor of the Lorenz system
N. V. Kuznetsov, T. N. Mokaev, R. N. Mokaev +2
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…
Numerical analysis of dynamical systems: unstable periodic orbits, hidden transient chaotic sets, hidden attractors, and finite-time Lyapunov dimension
N. V. Kuznetsov, T. N. Mokaev
In this article, on the example of the known low-order dynamical models, namely Lorenz, Rossler and Vallis systems, the difficulties of reliable numerical analysis of chaotic dynam…