Convective and Absolute Eckhaus Instability Leading to Modulated Waves in a Finite Box

Nicolas Garnier, Arnaud Chiffaudel, and François Daviaud
Phys. Rev. Lett. 88, 134501 – Published 13 March 2002
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Abstract

We report an experimental study of the secondary modulational instability of a one-dimensional nonlinear traveling wave in a long bounded channel. Two qualitatively different instability regimes involving fronts of spatiotemporal defects are linked to the convective and absolute nature of the instability. Both transitions appear to be subcritical. The spatiotemporal defects control the global mode structure.

  • Received 6 September 2001

DOI:https://doi.org/10.1103/PhysRevLett.88.134501

©2002 American Physical Society

Authors & Affiliations

Nicolas Garnier*, Arnaud Chiffaudel, and François Daviaud

  • Service de Physique de l'État Condensé, DSM, CEA Saclay, CNRS SNC 2005, 91191 Gif-sur-Yvette, France

  • *Present address: Center for Nonlinear Science, School of Physics, Georgia Institute of Technology, Atlanta, GA 30332-0430.
  • Electronic address: arnaud.chiffaudel@cea.fr

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Vol. 88, Iss. 13 — 1 April 2002

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