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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…
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…
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…