activity
20142022
most citedHomoclinic orbits, and self-excited and hidden attractors in a Lorenz-like system describing convective fluid motion

387 citations · 2.1k across the 53 of their papers we have counts for

collaborators

52 papers

nlin.AO2022★ 46 cited

Model-free prediction of multistability using echo state network

Mousumi Roy, Swarnendu Mandal, Chittaranjan Hens +3

In the field of complex dynamics, multistable attractors have been gaining a significant attention due to its unpredictability in occurrence and extreme sensitivity to initial cond…

physics.soc-ph2022★ 1 cited

Forecasting and control in overlapping generations model: chaos stabilization via artificial intelligence

T. A. Alexeeva, Q. B. Diep, N. V. Kuznetsov +2

Irregular, especially chaotic, behavior is often undesirable for economic processes because it presents challenges for predicting their dynamics. In this situation, control of such…

eess.SP2021

The Gardner problem and cycle slipping bifurcation for type 2 phase-locked loops

Nikolay V. Kuznetsov, Dmitry G. Arseniev, Mikhail V. Blagov +4

In the present work, a second-order type 2 PLL with a piecewise-linear phase detector characteristic is analysed. An exact solution to the Gardner problem on the lock-in range is o…

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…

nlin.CD2021

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…

math.DS2021★ 24 cited

New adaptive synchronization algorithm for a general class of hyperchaotic complex-valued systems with unknown parameters and its application to secure communication

A. A. -H. Shoreh, N. V. Kuznetsov, T. N. Mokaev

This report aims to study adaptive synchronization between a general class of hyperchaotic complex-valued systems with unknown parameters, which is motivated by extensive applicati…