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Transition to spatiotemporal chaos via spatially subharmonic oscillations of a periodic front

D. P. Vallette, W. S. Edwards, and J. P. Gollub
Phys. Rev. E 49, R4783(R) – Published 1 June 1994
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Abstract

An unusual sequence of bifurcations is documented in the flow of a viscious fluid inside a partially filled rotating horizontal cylinder. A periodic cellular pattern destabilizes to form a spatially subharmonic pattern that oscillates periodically in time. As the rotation rate is increased, the pattern evolves to spatiotemporal chaos. This state is characterized both by its correlation length and time, and by the fluctuating spatial phase of the pattern. The transition process is similar to that shown by a generalized Ginzburg-Landau model proposed by Daviaud et al. [Physica D 55, 287 (1992)].

  • Received 28 February 1994

DOI:https://doi.org/10.1103/PhysRevE.49.R4783

©1994 American Physical Society

Authors & Affiliations

D. P. Vallette, W. S. Edwards, and J. P. Gollub

  • Physics Department, Haverford College, Haverford, Pennsylvania 19041
  • Physics Department, University of Pennsylvania, Philadelphia, Pennsylvania 19104

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Vol. 49, Iss. 6 — June 1994

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