Phys. Rev. Lett. 85, 972–975 (2000)Dynamics of Three-Tori in a Periodically Forced Navier-Stokes FlowReceived 1 March 2000; published in the issue dated 31 July 2000 Three-tori solutions of the Navier-Stokes equations and their dynamics are elucidated by use of a global Poincaré 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. © 2000 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.85.972
DOI:
10.1103/PhysRevLett.85.972
PACS:
47.11.+j, 47.20.Ft, 47.20.Lz
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