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- W2015464546 abstract "The fast dynamo growth rate for aC k+1 map or flow is bounded above by topological entropy plus a 1/k correction. The proof uses techniques of random maps combined with a result of Yomdin relating curve growth to topological entropy. This upper bound implies the following anti-dynamo theorem: inC ∞ systems fast dynamo action is not possible without the presence of chaos. In addition topological entropy is used to construct a lower bound for the fast dynamo growth rate in the caseR m =∞." @default.
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- W2015464546 date "1995-11-01" @default.
- W2015464546 modified "2023-09-29" @default.
- W2015464546 title "Rigorous bounds on the fast dynamo growth rate involving topological entropy" @default.
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- W2015464546 doi "https://doi.org/10.1007/bf02101659" @default.
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