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Fast dynamo problem for a smooth map on a two-torus

 

作者: V. Oseledets,  

 

期刊: Geophysical & Astrophysical Fluid Dynamics  （Taylor Available online 1993）
卷期: Volume 73, issue 1-4  

页码: 133-145

 

ISSN:0309-1929

 

年代: 1993

 

DOI:10.1080/03091929308203625

 

出版商: Taylor & Francis Group

 

关键词: Fast dynamos;smooth map;Lefschetz number;asymptotic Lefschetz number;fast dynamo exponent

 

数据来源: Taylor

 

摘要:

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.

 

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