Breaking of equatorial symmetry in a rotating system: A spiralling intermittency mechanism

1997 EDP Sciences
, , Citation J. M. Brooke 1997 EPL 37 171 DOI 10.1209/epl/i1997-00547-6

This article is corrected by 1997 EPL 38 161

0295-5075/37/3/171

Abstract

Rotating fluid systems can display large-scale asymmetries about the equator. A model-independent mechanism for such symmetry breaking is described, via a spiralling intermittency that combines the on-off and Pomeau-Manneville mechanisms. This involves a periodic orbit in an invariant subspace becoming unstable to perturbations transverse to the subspace; these are describable in terms of the equatorial symmetry of the system. A scaling law is derived for the intermittency and this is tested against results from the numerical simulation of the behaviour of a rotating electrically conducting fluid. Finally we make comparisons with recent results on intermittency and symmetry breaking.

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10.1209/epl/i1997-00547-6