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Universality and strange attractors in internal-wave dynamics

Published online by Cambridge University Press:  20 April 2006

Henry D. I. Abarbanel
Henry D. I. Abarbanel
Affiliation:
Lawrence Berkeley Laboratory, University of California, Berkeley, CA 94720 Present address: University of California, San Diego, MPL, A-005, La Jolla, CA 92093.
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Abstract

We argue that the universality and statistical nature of the deep-ocean internal gravity-wave spectrum results from a strange attractor in the driven, dissipative internal-wave field. To explore this we construct a model which injects energy into the oceanic surface at a constant rate. A two-dimensional version of the model is explored analytically and numerically. For the numerical work we restrict our considerations to a few of the longest-wavelength modes. This few-mode system exhibits bifurcation into limit cycles, period doubling of the limit cycles, and chaotic, non-periodic behaviour associated with a strange attractor. In an appendix we present some discussion of the three-dimensional version of the model.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 135 , October 1983 , pp. 407 - 434
Copyright
© 1983 Cambridge University Press

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