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Phys. Rev. Lett. 61, 408–411 (1988)

Global Bifurcation to Traveling Waves in Axisymmetric Convection

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Laurette S. Tuckerman and Dwight Barkley
Department of Physics and Center for Nonlinear Dynamics, University of Texas, Austin, Texas 78712

Received 25 January 1988; published in the issue dated 25 July 1988

A traveling-wave state observed in full numerical simulations of cylindrical convection is reported. These waves arise with large amplitude via a global bifurcation of the steady convective state in systems with highly conducting sidewalls. For poorly conducting sidewalls, transition occurs instead to a disconnected branch of steady states. The Prandtl-number dependence of these transitions is interpreted in light of a wavelength selection mechanism previously proposed for axisymmetric convection.

© 1988 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.61.408
DOI:
10.1103/PhysRevLett.61.408
PACS:
47.20.Ky, 47.25.Qv