139 citations · 318 across the 8 of their papers we have counts for
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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…
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…
Finite-time Lyapunov dimension and hidden attractor of the Rabinovich system
N. V. Kuznetsov, G. A. Leonov, T. N. Mokaev +2
The Rabinovich system, describing the process of interaction between waves in plasma, is considered. It is shown that the Rabinovich system can exhibit a {hidden attractor} in the…