activity
20142023
most citedInvariance of Lyapunov exponents and Lyapunov dimension for regular and irregular linearizations

94 citations · 113 across the 7 of their papers we have counts for

collaborators

8 papers

math.OC2023★ 10 cited

Forecasting and stabilizing chaotic regimes in two macroeconomic models via artificial intelligence technologies and control methods

Tatyana Alexeeva, Quoc Bao Diep, Nikolay Kuznetsov +1

One of the key tasks in the economy is forecasting the economic agents' expectations of the future values of economic variables using mathematical models. The behavior of mathemati…

nlin.CD2021

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…

math.CA2021★ 1 cited

H{ö}lder classes in norm on a chord arc curve in

Tatyana A. Alexeeva, Nikolay A. Shirokov

We define H{ö}lder classes in the norm on a chord-arc curve in and prove direct and inverse approximation theorems for functions from these classes by function…

nlin.CD2020

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…

nlin.CD2020★ 8 cited

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…

math.CA2019

Constructive description of H{ö}lder-like classes on an arc in by means of harmonic functions

Tatyana A. Alexeeva, Nikolay A. Shirokov

We give a constructive description of H{ö}lder-like classes of functions on chord-arc curves in in terms of a rate of approximation by harmonic functions in shrinkin…