Fast dynamo problem for a smooth map on a two-torus
- 1 December 1993
- journal article
- research article
- Published by Taylor & Francis in Geophysical & Astrophysical Fluid Dynamics
- Vol. 73 (1-4) , 133-145
- https://doi.org/10.1080/03091929308203625
Abstract
We solve the fast dynamo problem for any smooth map on the two-torus. In particular, we prove that the fast dynamo exponent is equal to the asymptotic Lefschetz number. We also find the form of the leading eigenfunction. The eigenfunction for positive diffusivity is a smoothened version of a diffusionless eigen-function.Keywords
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