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Intermittency at onset of convection in a slowly rotating, self-gravitating spherical shell

  • Pascal Chossat
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 549)

Abstract

I present a joint work with Guyard and Lauterbach [4] which shows the existence and stability of a robust heteroclinic cycle near onset of convection in a self-gravitating, slowly rotating spherical shell filled with a fluid. The consequence of this is the existence of a regime characterized by long periods of time spent near an axisymmetric steady-state followed by sudden bursts of “turbulent flow” which settles down to another axisymmetric state with fluid flow moving in the opposite direction to the previous one. The process repeats indefinitely but non-periodically.

Keywords

Rayleigh Number Spherical Shell Unstable Manifold Center Manifold Heteroclinic Orbit 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Pascal Chossat
    • 1
  1. 1.I.N.L.N.CNRS and Université de NiceSophia-AntipolisFrance

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