Topological entropy of a magnetic flow and the growth of the number of trajectories

César J. Niche

doi:10.3934/dcds.2004.11.577

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2004, Volume 11, Issue 2&3: 577-580. Doi: 10.3934/dcds.2004.11.577

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Topological entropy of a magnetic flow and the growth of the number of trajectories

César J. Niche^1,

1.
Department of Mathematics, University of California, Santa Cruz, Santa Cruz CA, 95064

Received: February 28, 2003

Revised: February 29, 2004

Published: August 2004

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Abstract

We prove formulae relating the topological entropy of a magnetic flow to the growth rate of the average number of trajectories connecting two points.

Keywords:

Magnetic flows,
topological entropy.

Mathematics Subject Classification: 37J05, 37B40.

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