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Hopf bifurcations in quaternary dynamical systems of rotating thermofluid mixtures, driven by spectrum characteristic coefficients

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The paper is concerned with the onset of bifurcations in fluid mixtures. The instability of thermal conduction state in a rotating fluid layer heated and salted from below, is analyzed.… Click to show full abstract

The paper is concerned with the onset of bifurcations in fluid mixtures. The instability of thermal conduction state in a rotating fluid layer heated and salted from below, is analyzed. The Taylor number threshold for the transition to Hopf bifurcations, in simple closed form, is obtained. The basic property of each coefficient of the spectrum equation to drive instability and type of bifurcation, is shown and applied.

Keywords: systems rotating; hopf bifurcations; rotating thermofluid; bifurcations quaternary; dynamical systems; quaternary dynamical

Journal Title: Ricerche di Matematica
Year Published: 2020

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