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Some geometrical conditions for the existence of chaotic geodesics on a torus

Published online by Cambridge University Press:  30 September 2002

S. V. BOLOTIN  and
P. H. RABINOWITZ
S. V. BOLOTIN
Affiliation:
Department of Mathematics, University of Wisconsin, 480 Lincoln Drive, Madison, WI 53706, USA (e-mail: bolotin@math.wisc.edu and rabinowi@math.wisc.edu)
P. H. RABINOWITZ
Affiliation:
Department of Mathematics, University of Wisconsin, 480 Lincoln Drive, Madison, WI 53706, USA (e-mail: bolotin@math.wisc.edu and rabinowi@math.wisc.edu)
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Abstract

Minimization arguments are applied to a renormalized length functional to establish the existence of heteroclinic, homoclinic and chaotic geodesics on a two-dimensional torus satisfying some geometrical conditions.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 22 , Issue 5 , October 2002 , pp. 1407 - 1428
Copyright
© 2002 Cambridge University Press

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