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arXiv · 1412.7667

Homoclinic orbit and hidden attractor in the Lorenz-like system describing the fluid convection motion in the rotating cavity

G. A. Leonov·N. V. Kuznetsov·T. N. Mokaev
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Abstract

In this paper a Lorenz-like system, describing the process of rotating fluid convection, is considered. The present work demonstrates numerically that this system, also like the classical Lorenz system, possesses a homoclinic trajectory and a chaotic self-excited attractor. However, for considered system, unlike the classical Lorenz one, along with self-excited attractor a hidden attractor can be localized. Analytical-numerical localization of hidden attractor is presented.

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G. A. Leonov, N. V. Kuznetsov, T. N. Mokaev. 2014-12-24. Homoclinic orbit and hidden attractor in the Lorenz-like system describing the fluid convection motion in the rotating cavity. https://doi.org/10.1016/j.cnsns.2015.04.007

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