139 citations · 318 across the 8 of their papers we have counts for
8 papers
Divergence Method to Stability Study of Andronov-Vyshnegradsky Problem. Hidden Oscillations
I. B. Furtat, N. V. Kuznetsov
The classical Andronov-Vyshnegradsky problem, which deals with locating regions of stability and oscillations in control systems with a Watt regulator, is solved using a divergence…
Localization of hidden Chua attractors by the describing function method
N. V. Kuznetsov, O. A. Kuznetsova, G. A. Leonov +2
In this paper the Chua circuit with five linear elements and saturation non-linearity is studied. Numerical localization of self-excited attractor in the Chua circuit model can be…
The Lyapunov dimension and its estimation via the Leonov method
N. V. Kuznetsov
Along with widely used numerical methods for estimating and computing the Lyapunov dimension there is an effective analytical approach, proposed by G.A. Leonov in 1991. The Leonov…
Lyapunov dimension formula of attractors in the Tigan and Yang systems
G. A. Leonov, N. V. Kuznetsov, N. A. Korzhemanova +1
In latter days the technique of attractors dimension estimate of Lorenz type systems is actively developed. In this work the Lyapunov dimension of attractors of the Tigan and Yang…
A short survey on Lyapunov dimension for finite dimensional dynamical systems in Euclidean space
G. A. Leonov, N. V. Kuznetsov
Nowadays there are a number of surveys and theoretical works devoted to the Lyapunov exponents and Lyapunov dimension, however most of them are devoted to infinite dimensional syst…
The Lyapunov dimension and its computation for self-excited and hidden attractors in the Glukhovsky-Dolzhansky fluid convection model
N. V. Kuznetsov, G. A. Leonov, T. N. Mokaev
Consideration of various hydrodynamic phenomena involves the study of the Navier-Stokes (N-S) equations, what is hard enough for analytical and numerical investigations since alrea…