The geodesic flow generates a fast dynamo: an elementary proof

Chicone, C.; Latushkin, Y.

doi:10.1090/S0002-9939-97-04187-7

The geodesic flow generates a fast dynamo: an elementary proof
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by C. Chicone and Y. Latushkin PDF

Proc. Amer. Math. Soc. 125 (1997), 3391-3396 Request permission

Abstract:

We give elementary and explicit arguments to show that the geodesic flow on the unit tangent bundle of a two dimensional Riemannian manifold with constant negative curvature provides an example of a “fast” dynamo for the magnetic kinematic dynamo equation.

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