387 citations · 401 across the 7 of their papers we have counts for
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A dynamical model of Sayano-Shushenskaya hydropower plant: stability, oscillations, and accident
G. A. Leonov, N. V. Kuznetsov, E. P. Solovyeva
This work is devoted to the construction and study of a mathematical model of hydropower unit, consisting of synchronous generator, hydraulic turbine, and speed governor. It is mot…
Homoclinic orbits, and self-excited and hidden attractors in a Lorenz-like system describing convective fluid motion
G. A. Leonov, N. V. Kuznetsov, T. N. Mokaev
In this tutorial, we discuss self-excited and hidden attractors for systems of differential equations. We considered the example of a Lorenz-like system derived from the well-known…
Estimation of Lyapunov dimension for the Chen and Lu systems
G. A. Leonov, N. V. Kuznetsov, N. A. Korzhemanova +1
Nowadays various estimates of Lyapunov dimension of Lorenz-like systems attractors are actively developed. Within the frame of this study the question arises whether it is possible…