387 citations · 832 across the 14 of their papers we have counts for
17 papers · 1 filter
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…
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…
Rich dynamics and anticontrol of extinction in a prey-predator system
Marius-F. Danca, Michal Feckan, Nikolay Kuznetsov +1
This paper reveals some new and rich dynamics of a two-dimensional prey-predator system and to anticontrol the extinction of one of the species. For a particular value of the bifur…
Chaos control in the fractional order logistic map via impulses
Marius-F. Danca, Michal Feckan, Nikolay Kuznetsov
In this paper the chaos control in the discrete logistic map of fractional order is obtained with an impulsive control algorithm. The underlying discrete initial value problem of f…