Hidden attractor and homoclinic orbit in Lorenz-like system describing convective fluid motion in rotating cavity

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Abstract

© 2015 Elsevier B.V.In this paper a Lorenz-like system, describing convective fluid motion in rotating cavity, is considered. It is shown numerically that this system, like the classical Lorenz system, possesses a homoclinic trajectory and a chaotic self-excited attractor. However, for the considered system, unlike the classical Lorenz system, along with self-excited attractor a hidden attractor can be localized. Analytical-numerical localization of hidden attractor is demonstrated.
Original languageEnglish
Pages (from-to)166-174
JournalCommunications in Nonlinear Science and Numerical Simulation
Issue number1-3
DOIs
StatePublished - 2015

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