Global Bifurcation to Traveling Waves in Axisymmetric Convection

Laurette S. Tuckerman and Dwight Barkley
Phys. Rev. Lett. 61, 408 – Published 25 July 1988
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Abstract

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.

  • Received 25 January 1988

DOI:https://doi.org/10.1103/PhysRevLett.61.408

©1988 American Physical Society

Authors & Affiliations

Laurette S. Tuckerman and Dwight Barkley

  • Department of Physics and Center for Nonlinear Dynamics, University of Texas, Austin, Texas 78712

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Issue

Vol. 61, Iss. 4 — 25 July 1988

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