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arxiv: 1412.7667 · v1 · pith:SCYXMTLBnew · submitted 2014-12-24 · 🌊 nlin.CD

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

classification 🌊 nlin.CD
keywords attractorsystemhiddenclassicalconsideredconvectiondescribingfluid
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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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