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On a model of the dynamical systems describing convective fluid motion in rotating cavity

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  • Zhang, Fuchen

Abstract

In this paper a Lorenz-like system, describing the process of rotating fluid convection, is considered. Explicit estimations of the bounds are derived based on stability theory of dynamical systems. Numerical localization of attractor is presented.

Suggested Citation

  • Zhang, Fuchen, 2015. "On a model of the dynamical systems describing convective fluid motion in rotating cavity," Applied Mathematics and Computation, Elsevier, vol. 268(C), pages 873-882.
    • Handle: RePEc:eee:apmaco:v:268:y:2015:i:c:p:873-882
    DOI: 10.1016/j.amc.2015.06.120
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    References listed on IDEAS

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    1. Zhang, Fuchen & Shu, Yonglu, 2015. "Global dynamics for the simplified Lorenz system model," Applied Mathematics and Computation, Elsevier, vol. 259(C), pages 53-60.
    2. Leonov, G.A. & Kuznetsov, N.V., 2015. "On differences and similarities in the analysis of Lorenz, Chen, and Lu systems," Applied Mathematics and Computation, Elsevier, vol. 256(C), pages 334-343.
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    Cited by:

    1. Khodakaram-Tafti, Amin & Emdad, Homayoun & Mahzoon, Mojtaba, 2022. "Dynamical and chaotic behaviors of natural convection flow in semi-annular cylindrical domains using energy-conserving low-order spectral models," Applied Mathematics and Computation, Elsevier, vol. 433(C).

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