Dynamics of three-tori in a periodically forced navier-stokes flow |
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Authors: | Lopez Marques |
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Affiliation: | Department of Mathematics, Arizona State University, Tempe, Arizona 85287-1804, USA. |
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Abstract: | Three-tori solutions of the Navier-Stokes equations and their dynamics are elucidated by use of a global Poincare map. The flow is contained in a finite annular gap between two concentric cylinders, driven by the steady rotation and axial harmonic oscillations of the inner cylinder. The three-tori solutions undergo global bifurcations, including a new gluing bifurcation, associated with homoclinic and heteroclinic connections to unstable solutions (two-tori). These unstable two-tori act as organizing centers for the three-tori dynamics. A discrete space-time symmetry influences the dynamics. |
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